"
State True or False:
e. if f is differentiable on (a, b), then f is anti differentiable on (a, b). f. If+g is integrable on (a, b), then both and are bounded on la, bl.
k. It is possible to find Taylor's Formula with Rem
"
Answers
The answers to the true/false questions are:
e. False.
f. False.
k. True.
e. False. Differentiability does not imply anti-differentiability. A function may be differentiable on an interval but may not have an anti-derivative on that interval. An anti-derivative is a function whose derivative is equal to the original function.
f. False. The integrability of f + g on (a, b) does not imply that both f and g are individually bounded on (a, b). The boundedness of a function depends on its own properties, and the integrability of their sum does not impose conditions on individual boundedness.
k. True. It is possible to find Taylor's Formula with Remainder for functions that satisfy certain conditions, such as having derivatives of all orders in the interval of interest. Taylor's Formula allows for approximating a function using a polynomial expansion centered around a point. The remainder term accounts for the difference between the polynomial approximation and the original function.
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Related Questions
The scale use for a model of kitchen is 1/4 in = 1/2 ft In the model, the kitchen measures 2 1/2 by 2 3 in. What are actual dimensions of the kitchen
A 41ft by 6 ft
B 15ft by 6 ft
C 15ft by 18 ft
D 7.5 ft by 18 ft
Explanation is required
Answers
In a bag with 36 skittles, 12 are red, 9 are green, 3 are purple, 5 are orange, and 7 are yellow. What is the probability of pulling out a red skittle OR an orange skittle?
Answers
17/36
Step-by-step explanation:
If t he question was check the probability of only red so it would be 12/36 but here it is red and orange so we will add the both 12 + 5 which will be 17 so 17 /36 is the right answer.
Answer: \(\frac{17}{36}\) or 0.472 or 47.2%
Step-by-step explanation:
P( red skittle OR orange skittle)=\(\frac{12}{36} +\frac{5}{36}\)
P( red skittle OR orange skittle)=\(\frac{17}{36}\) or 0.472 or 47.2%
what do i put the box like <6 but with the line under? cause when i checked if it was right it said it was wrong
Answers
200% of the number is 16 what is the number
Answers
8
because half of 16 is 8.
so the answer would be 8?
640 divided by 2/5 how do I solve this
Answers
Answer:
Step-by-step explanation:
1600
Answer:
1,600
Step-by-step explanation:
When dividing with fractions, remember this rule!!!!
KEEP SWITCH FLIP
- Keep the first fraction
- Switch the sign from division to multiplication
- Flip the second fraction so it becomes its reciprocal (the numerator becomes the denominator and the denominator becomes the numerator)
Let's begin!
640 ÷ 2/5
We know that every number divided by 1 is itself, thus every numerator has an invisible 1 as its denominator. Now we can rewrite it as:
640/1 ÷ 2/5
First, keep 640/1. Then change the ÷ into a ×
640/1 × 2/5
Next, flip the 2/5 so the 5 is on top and 2 is on the bottom
640/1 × 5/2
And multiply across!
640 × 5 = 3,200
1 × 2 = 2
3,200/2 = 1,600
Your answer is 1,600!!
Hope this helps clear things up for you. Let me know if you any other questions :D
M<7=100 find measure of <11
Answers
Answer:i think its 115 degres
Step-by-step explanation:
find the area of each figure in units squared and then match the figure with its area.
Answers
1)
the area of the given figure is,
base x height = 9.5 x 14 = 133
2)
the area of the given figure is ,
\(=\frac{1}{2}(30+19)\times16\)\(\begin{gathered} =\frac{1}{2}\times49\times16 \\ =392 \end{gathered}\)thus, the area is 392
3)
the area of the half circle is,
diameter d = 11
\(=\frac{1}{2}\times\pi\times\frac{d^2}{4}\)\(=\frac{1}{2}\times\frac{22}{7}\times\frac{11^2}{4}\)\(\begin{gathered} =\frac{11^3}{28} \\ =\frac{133}{28} \\ =47.52 \end{gathered}\)4)
the area of the trinagle is
1/2 x base x height
= 1/2 x 26.4 x 11
= 13.2 x 11
= 145.2
PLEASE HELP, THIS IS A BENCHMARK. WILL GIVE BRAINLIEST!
Use the description of AABC below to solve Parts A and B.
m
Part A: Which of the following is the value of x?
A. x = 10
B. x= 5
B. x = 4
D. x = 2
Part B: Order the sides of ABC from shortest to longest. Drag and drop the displayed choices to order.
Answers
Prove that all the solutions to the equation (z+1)7=z7 have equal real parts, and find what this real part is equal to.
Answers
All the solutions to the equation (z+1)7=z7 have equal real parts, and this real part is equal to 1/2.
What is Complex Numbers ?Complex numbers are those that are expressed as a + ib, where a and b are actual numbers and I is a fictitious number called a "iota." I has the value (-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im).
Given that
\((z+1)^7=z^7\)
can also be written as
\(|z+1|=|z|\)
\(|z+1|^2=|z|^2\)
\(z\bar{z}+z+\bar{z}+1=z\bar{z}\)
2Re(z)=1
z=-1/2
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example 2 major premise: no dogmatists are scholars who encourage free thinking. minor premise: some theologians are scholars who encourage free thinking. conclusion: some theologians are not dogmatists. the major premise in example 2 is an proposition. the minor premise in example 2 is an proposition. the conclusion in example 2 is an proposition. therefore, the mood of the categorical syllogism in example 2 is .
Answers
The mood of the categorical syllogism in example 2 is AIO.
In your example, we have the following premises and conclusion:
1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.
The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).
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Sabia and arlan bougth 45 book for r 30 each old all ok them at the rote of 24 find the different the money pent and return
Answers
If Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, they can buy 34 books.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, how many books they can buy,
Rs 30 = 45 book
Rs 30 = 45
Rs 1 = 45 / 30
Rs 24 = 3/2 × 24
Rs 24 = 34 books
Thus, if Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, they can buy 34 books.
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Awnsehthrhdhdhehdhsbgsgshdhdhdgsh
Answers
Answer:
B
Step-by-step explanation:
Let's eliminate the incorrect answers. C and D are incorrect, since anything to the power of 0 is equal to 1. A is incorrect, because -1 * -1 = 1 since the negatives cancel out. B is correct, because -1*-1*-1*-1*-1 has an odd number of negatives, and thus you are left with -1 instead of 1. Therefore, the answer is B.
What is the solution to the system below?
x + y = 5
x - y = 3
Answers
( x, y ) = ( 4, 1 )
hope it helps!
Answer:
x= 4
y= 1
Step-by-step explanation:
by adding 2 equations
2x = 8
x= 4
by sub. in Equation 1
4+y=5
y = 5-4
y= 1
Fill in the blank to complete the equation below.
14 + 35
= 7(2 + ___)
Answers
Answer:
5
Step-by-step explanation:
14+35=49 and we are looking for the number times 7 that gives us 49.
So, we already have 2. 2+ what times 7 gives us 49? 2 + 5 = 7 and so now our equation looks like this:
14+35 =7 (2+5)
Or
14+35= 7x7 becuase 7x7 is 49 and 14+35 is also 49.
(If you need more help, let me know!)
Given a sphere with radius r, the formula 4rr gives
O
A. the volume
• B. the surface area
•
C. the radius
D. the cross-sectional area
Answers
Answer:
b) The surface area
Step-by-step explanation:
Surface area of sphere formula,
→ 4πr²
Thus, option (b) is the answer.
- - - - -- - - - - - -- - - - - - - - - -- - - - - -- - - - - - - -- - - - - -- -
\(\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)
What does the formula 4πr² give?
\(\blue\textsf{\textbf{\underline{\underline{Answer and how to Solve:-}}}}\)
Formula for Volume of a Sphere:-
\(\bold{V=\displaystyle\frac{4}{3} \pi r^3}\)
So the answer is not Option A.
Formula for Surface Area of a Sphere:-
\(\bold{A=4\pi r^2}\)
This looks exactly like the formula we need.
So the right answer is
\(\boxed{\boxed{\underline{\bold{Option\:B}}}}\)
Good luck.- -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - -
if 600 cubic centimeters of water flow into the container in one minute, about how many minutes will it take to fill the container?
Answers
a. The volume of the spherical container is approximately 37,785.41 cubic centimeters.
b. It will take approximately 62.98 minutes to fill the container with a flow rate of 600 cubic centimeters per minute.
a. To find the volume of the spherical container, we can use the formula:
V = (4/3)πr^3
where V is the volume and r is the radius of the sphere. However, we need to first find the radius of the sphere using the given surface area.
The surface area of a sphere is given by the formula:
A = 4πr^2
Given that the surface area is approximately 5,538.96 square centimeters, we can equate the formula for surface area to the given value and solve for r:
4πr^2 = 5,538.96
r^2 = 5,538.96 / (4π)
r^2 ≈ 441.57
Taking the square root of both sides, we get:
r ≈ √441.57 ≈ 21.02
Now that we have the radius, we can substitute it into the formula for volume to find the volume of the container:
V = (4/3)π(21.02)^3 ≈ 37,785.41 cubic centimeters
Therefore, the volume of the container is approximately 37,785.41 cubic centimeters.
b. If 600 cubic centimeters of water flow into the container in one minute, we can calculate the time it takes to fill the container by dividing the volume of the container by the flow rate:
Time = Volume / Flow rate
Time ≈ 37,785.41 / 600 ≈ 62.98 minutes
Therefore, it will take approximately 62.98 minutes to fill the container.
The correct question should be :
A spherical container has a surface area of about 5,538.96 square centimeters.
a. What is the volume of the container?
b. If 600 cubic centimeters of water flow into the container in one minute, about how many minutes will it take to fill the container?
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Please show how to solve step by step with instructions and what formulas in Excel to use. Thank you.
Powder Puffs sells pom-poms to schools internationally. It has an offer from a private
buyer and the owners would like to know the value of each share of common equity so
they don't undervalue their shares. The cost of capital for this firm is 6.65% and there are
60,797 common shares outstanding. The firm does not have any preferred equity, however, it
has outstanding debt with a market value of $3,833,340. Use the DCF valuation model based
on the expected FCFs shown below; year 1 represents one year from today and so on. The
company expects to grow at a 2.2% rate after Year 5. Rounding to the nearest penny, what is the
value of each share of common stock?
Answers
The value of each share of common stock, rounded to the nearest penny, is approximately $66.61 according to the given information and values in the question.
step by step:
To calculate the value of each share of common stock using the Discounted Cash Flow (DCF) valuation model, we need to discount the expected future cash flows to their present value and subtract the market value of the outstanding debt. The formula for calculating the value of each share of common stock is:
Value per Share = (Present Value of Future Cash Flows - Debt) / Number of Common Shares
To calculate the present value of future cash flows, we discount each cash flow using the cost of capital.
Let's calculate the present value of future cash flows and the value per share of common stock:
Year 1: FCF = $250,000
Year 2: FCF = $300,000
Year 3: FCF = $350,000
Year 4: FCF = $400,000
Year 5: FCF = $450,000
\(Year 6 onwards: FCF = $450,000 * 1.022^(Year - 5)\)
Cost of Capital = 6.65%
Outstanding Debt = $3,833,340
Number of Common Shares = 60,797
First, let's calculate the present value of future cash flows:
\(PV = FCF / (1 + r)^n\)
where:
PV = Present Value
FCF = Future Cash Flow
r = Cost of Capital
n = Number of years
\(Year 1:PV1 = $250,000 / (1 + 0.0665)^1 ≈ $234,837.45Year 2:PV2 = $300,000 / (1 + 0.0665)^2 ≈ $268,084.17Year 3:PV3 = $350,000 / (1 + 0.0665)^3 ≈ $301,706.42Year 4:PV4 = $400,000 / (1 + 0.0665)^4 ≈ $335,693.63Year 5:PV5 = $450,000 / (1 + 0.0665)^5 ≈ $369,035.06Year 6 onwards:PV6 = $450,000 * 1.022^(Year - 5) / (1 + 0.0665)^Year\)
Now, let's calculate the total present value of future cash flows:
\(Total PV = PV1 + PV2 + PV3 + PV4 + PV5 + ∑(PV6)\)
∑(PV6) represents the sum of present values for Year 6 onwards, up to infinity. Since we have a constant growth rate of 2.2%, we can use the perpetuity formula to calculate this sum:
\(∑(PV6) = PV6 / (r - g)\)
where:
r = Cost of Capital
g = Growth rate
\(∑(PV6) = PV6 / (0.0665 - 0.022) = PV6 / 0.0445Now, let's calculate PV6 and ∑(PV6):PV6 = $450,000 * 1.022^1 / (1 + 0.0665)^6 ≈ $303,212.65∑(PV6) = $303,212.65 / 0.0445 ≈ $6,820,510.11\)
Next, let's calculate the total present value:
\(Total PV = PV1 + PV2 + PV3 + PV4 + PV5 + ∑(PV6)Total PV = $234,837.45 + $268,084.17 + $301,706.42 + $335,693.63 + $369,035.06 + $6,820,510.11Total PV ≈ $8,329,866.84\)
Finally, let's calculate the value per share of common stock:
Value per Share = (Total PV - Debt) / Number of Common Shares
Value per Share = ($8,329,866.84 - $3,833,340) / 60,797
Value per Share ≈ $66.61
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what is v + b = 12a 23b 14 c 15d
Answers
the answer is all of them
Step-by-step explanation:
Use a number line to find eac
13
5-(-8)
Answers
The number line shows the value of 5 - (-8) = 13.
What is a number line?A number line is a pictorial representation of integers on a straight line.This helps in performing many arithmetic operations.It consists of '0' in the middle i.e., zero is neither a positive nor a negative integer and it is taken as a reference point.It consists of positive integers(greater than zero) on the right side of '0'.It consists of negative integers(less than zero) on the left side of '0'.How to represent arithmetic operations on a number line?Addition:
If the addend is positive then move to the right side on the number lineIf the addend is negative then move to the left side on the number line.Subtraction:
If the subtrahend is positive then move to the left side on the number lineIf the subtrahend is negative then move to the right side on the number line.Representing the subtraction 5 - (-8) on a number line:Here the given operation is subtraction. Where a subtrahend is a negative number i.e., -8.
Step1: Start from '5' on the number line.
Step2: Since the subtrahend is a negative number, move to the right side on the number line from '5'.
Step3: Thus, the number obtained on the line is 13.
Step4: Algebraically the result is 5 - (-8) = 5 + 8 = 13.
The number line for this operation is shown below.
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Determine whether the triangles are similar by AA similarity, SAS similarity, SSS similarity, or not similar.
Answers
The triangles are similar by the SAS similarity statement
Identifying the similar triangles in the figure.From the question, we have the following parameters that can be used in our computation:
The triangles in this figure
These triangles are similar is because:
The triangles have similar corresponding sides and one equal angle
By definition, the SAS similarity statement states that
"If two sides in one triangle are proportional to two sides in another triangle, and one corresponding angle are congruent then the two triangles are similar"
This means that they are similar by the SAS similarity statement
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Jamie pays $25 to enter a water park. He must pay $5 per hour to rent a locker to store his
personal items. Which algebraic expression represents the situation? (17.8)
o 5h + 25
O 25h + 5
O 5h. 25
O 25h. 5
< Previous
Next →
Answers
Answer:
5h+25
Step-by-step explanation:
Jamie pays $25 and $5/h so 5h+25
log(x+4)=logX + log4
Answers
Answer:
log
(
x
+
4
)
=
log
(
x
)
+
log
(
4
)
=
log
(
4
x
)
, so
x
+
4
=
4
x
, hence
x
=
4
3
Step-by-step explanation:
Find the value of f (2).
Answers
Step-by-step explanation:
The value of f(2) is -5.
Answer:
y=-5
Step-by-step explanation:
You just have to see what y is when x is 2.
Salah is building a brick walkway around his garden, which is 17 feet wide and 40 feet long. he wants the walkway to be 18 inches wide on all sides. if the bricks are 6 inches wide and 8 inches long, what is the minimum number of bricks Salah will have to buy?
Answers
The minimum number of bricks Salah will have to buy is 4050 bricks
How to find the minimum number of bricks Salah will have to buy?
Given that the
width of the garden is w = 17 feet and length l = 40 feet. Also, the walkway iis 18 feet wide.So, the length of walkway plus garden, L = 40 ft + 18 ft = 58 ft. The width of walkway plus garden, W = 17 ft + 18 ft = 35 ft.
The area of the walkwayWe now need to find the area of the walkway.
Area of walkway, A" = area of walkway plus garden - area of garden
= LW - lw
= 58 ft × 35 ft - 40 ft × 17 ft
= 2030 ft² - 680 ft²
= 1350 ft²
Now, since each brick is 6 inches wide and 8 inches long, the area of each brick is A' = 6 in × 8 in = 48 in²
So, the number of bricks required, n = area of walkway/area of brick
= 1350 ft²/48 in²
= 1350 × 144 in²/48 in²
= 194400 in²/48 in²
= 4050 bricks
So, the minimum number of bricks Salah will have to buy is 4050 bricks
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Pleasee answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
∠KNM is congruent to ∠KLM
recent research has shown that although the pooled t test does outperform the two-sample t test by a bit (smaller β 's for the same α ) when σ12=σ22, the former test can easily lead to erroneous conclusions if applied when the variances are different. ' (i) What does it mean by smaller β 's for the same α "? Why does this imply that the pooled t test outperforms the two-sample t test? (ii) Why would the pooled t test outperform the two-sample t test when σ12=σ22 ? Discuss from the point of view of equal sample sizes.
Answers
(i) The pooled t-test outperforms the two-sample t-test
Because it provides better sensitivity or power to detect a true difference between the means of two populations when it exists.
It minimizes the chances of failing to detect a significant difference when one actually exists.
(ii) The outperform of the pooled t-test of the two-sample t-test for many reasons such as Increased precision, More efficient estimation, More appropriate degrees of freedom.
(i) In hypothesis testing, α (alpha) represents the significance level, which is the probability of rejecting the null hypothesis when it is actually true.
β (beta), on the other hand, represents the probability of failing to reject the null hypothesis when it is false, also known as a Type II error.
When it is said that the pooled t-test has smaller β's for the same α, it means that for a given significance level α,
The probability of committing a Type II error (β) is lower when using the pooled t-test compared to the two-sample t-test.
(ii) When σ₁² = σ₂²(equal variances) and considering equal sample sizes,
The pooled t-test can outperform the two-sample t-test for several reasons,
Increased precision,
By assuming equal variances, the pooled t-test combines the information from both samples,
resulting in a more precise estimate of the common population variance.
This increased precision allows for more accurate statistical inferences.
More efficient estimation,
With equal variances and equal sample sizes, the pooled t-test uses a weighted average of the sample variances,
resulting in a more efficient estimation of the population variance.
This efficiency leads to more accurate hypothesis testing and estimation of the mean difference.
More appropriate degrees of freedom,
The degrees of freedom in the pooled t-test are calculated based on the assumption of equal variances.
This adjustment results in a more appropriate distribution to use for hypothesis testing, leading to more reliable results.
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Simplify the expression:
-3.5i -4h +22 -0.3h +4.6i
Answers
Answer:
\(22 + 1.1 \times i - 4.3h\)
Step-by-step explanation:
1) Collect like terms.
\(22 + ( - 3.5i + 4.6i) + ( - 4h - 0.3h)\)
2) Simplify.
\(22 + 1.1 \times i - 4.3h\)
hence, the answer is 22 + 1.1 × i - 4.3h.
-5 x -0.2 i got stuck here
Answers
Choose the expression that represents a cubic expression. −7x 14 7x2 − 5x 6 8x3 − 7x2 − 6x 5 9x4 8x3 − 6x2 − 2x 11.
Answers
Answer:
C. 8X3 - 7X2 - 6X+5
Step-by-step explanation:
hope that helps!
Answer:
C. 8X3 - 7X2 - 6X+5
Step-by-step explanation:
What bearing and airspeed are required for a plane to fly 500 miles due north in 2. 5 hours if the wind is blowing from a direction of 344° at 10 mph?
Answers
Answer:
The airspeed is 201.17 mph and bearing is and this can be determined by using the vector form of velocity
Plane to fly 700 miles due north in 3.5 hours if the wind is blowing from a direction of 338 degrees at 10 mph