5

Iomework: rinal Exam Fiacore: 0 of 1 pt.3.55Find the average value of the function f(x) =x 5 on [0 v1o]: The average value of the function f(x) =x2_ -5 on [0,no] (T...

Question

Iomework: rinal Exam Fiacore: 0 of 1 pt.3.55Find the average value of the function f(x) =x 5 on [0 v1o]: The average value of the function f(x) =x2_ -5 on [0,no] (Type a simplified fraction:)

iomework: rinal Exam Fia core: 0 of 1 pt .3.55 Find the average value of the function f(x) =x 5 on [0 v1o]: The average value of the function f(x) =x2_ -5 on [0,no] (Type a simplified fraction:)



Answers

Find the average value of the function over the given interval. $$ f(x)=e^{x} ;[-1, \ln 5] $$

In this question we have to find the value for the function that is effects as it was 25. Access where and in the given interval that is 12 period. So I'm going to write the formula of average value. The formula is we have to divide by b minus A and we have to integrate the given function in the interval that is there to be Okay. So I'm going to substitute here all the values. So I get here one, divide by four minus one. Integration limits are 124 and find access where the X. Okay Now we can see that we can take outside five. It is a question. So I get here five divided by three. And integration of access queries simply XQ by three. And we have to substitute here 124 Okay so we can see that after that I have to substitute four. So I get four Q by three and when I put one I get one Q by three. Okay. Value of four QB 64 value one cube is one. So I got here 64 minus one, divided by three, 64 -1 is 63. And if I divide 63 by three then I can say that I get here 21. And after multiplying five by three with 21 I get here five and 27 That is 35. So 35 is the answer for the given question here. Okay, thank you.

In prominent 45. We want to get the average value for the function F of X equals four X plus five through the interval from zero to a. He can use the definite integral to calculate the average value for dysfunction. Boy calculating all evaluating the different Integral for dysfunction for X plus five, the X over the interval from zero to a divided by the length off. This interval, which is a minus zero, equals one divided by him multiplied boy. The integration off full X is four x squared, divided by two plus the integration or +55 x we integrate from zero to a we substitute by X equals a We started by our bones for a squared divided by two plus five b and we substitute minus. We substitute by X equals zero So sued by the lower bone which gives you equals one divided by a but the boy boy toe is good. Last five equals two a plus five and this is the average value for the function four x last five over the buried or the interval from 0 to 8 and this is the final answer. This is the final answer of all property

So first we'll take this in a roll from 0 to 1 of or executed my ass. Three x squared. Yes. So that would be extra force minus X cubed while you were at one and zero. So one, we have zero. We have zero. So our average it's gonna be zero. Now we're looking for when FX zero. So if we factor after x x squared times for expires, three is equal to zero. That means X could be zero or 3/4.

So here we're gonna take the integral from 1 to 3 first, uh, or plus four over X word, which is just a way to rewrite the above equation. So if we take the anti derivative, we're dealing with four X minus four over X. I waited three and one, so we put in three first 12 minus 4/3 which gives us 32 over three. And if you put in one, get four miles. 40 This is our total area. Next, we should divide by the range. We should be three minus one to get the average. So the average is 32 over three, divided by two 16 over three. Now we should find an X value such that FX is 16. 30. So if or plus four over X squared is 16 3rd then four over X squared we four Thurs. That means X is equal to the square root of three. This is our


Similar Solved Questions

5 answers
Provide a complete list of reagents, in the proper sequence, that would convert st product for each reaction. Your answers can be submitted under the Assignment
Provide a complete list of reagents, in the proper sequence, that would convert st product for each reaction. Your answers can be submitted under the Assignment...
5 answers
Wnite the expression as sum andlor diflerence of loganthms Express powers as factors1/3 X_x-2 X > 2 (x+4)41/3 R_x-2 (x+4)" (Simplify your answer Type an exact answer Use integers or fractions for any numbers inEnter your answer in the answer box.Type here t0 searchHi e
Wnite the expression as sum andlor diflerence of loganthms Express powers as factors 1/3 X_x-2 X > 2 (x+4)4 1/3 R_x-2 (x+4)" (Simplify your answer Type an exact answer Use integers or fractions for any numbers in Enter your answer in the answer box. Type here t0 search Hi e...
5 answers
If $g(x)$ is irreducible over $mathrm{GF}(p)$ and $g(x)$ divides $x^{p^{n}}-x$, prove that deg $g(x)$ divides $n$.
If $g(x)$ is irreducible over $mathrm{GF}(p)$ and $g(x)$ divides $x^{p^{n}}-x$, prove that deg $g(x)$ divides $n$....
5 answers
To fInd the volume the solid obtalned by rotating the region encosed the cunves Vx-6 and Y = about the y-axls, Wc U5e cyllndrical shells method and rotate vertce strip around the Y-axis creating cylinder wlth radiushcightThcrcforc the volumc can bc found from thc intcgralV = 2 <
To fInd the volume the solid obtalned by rotating the region encosed the cunves Vx-6 and Y = about the y-axls, Wc U5e cyllndrical shells method and rotate vertce strip around the Y-axis creating cylinder wlth radius hcight Thcrcforc the volumc can bc found from thc intcgral V = 2 <...
4 answers
Question 45 (7 points) 10.0 g of CHCl3 react with many grams of 10.0 g Clz CCla according may to the be produced? following = equation. How CHCIz Clz CCla HCI CHCI3 119.38 g/mol, Clz 70.906 g/mol; CCla = 153.82 g/mol NQTE: Pay attention to the significant = figures: (Show all the work)
Question 45 (7 points) 10.0 g of CHCl3 react with many grams of 10.0 g Clz CCla according may to the be produced? following = equation. How CHCIz Clz CCla HCI CHCI3 119.38 g/mol, Clz 70.906 g/mol; CCla = 153.82 g/mol NQTE: Pay attention to the significant = figures: (Show all the work)...
5 answers
Chapter 11 2nd Hour Part 2 tarted: Apr 21 at 9.35pm Quiz InstructionsQuestion1 ptsIn the rcaction below:Pentan-I-0l SOBr 2Pleasc write the IUPAC namne of productNext
chapter 11 2nd Hour Part 2 tarted: Apr 21 at 9.35pm Quiz Instructions Question 1 pts In the rcaction below: Pentan-I-0l SOBr 2 Pleasc write the IUPAC namne of product Next...
5 answers
IfC is the line segment which begins at (_2,1) and ends at(2,4), evaluate the line integral:Jc eetyds
IfC is the line segment which begins at (_2,1) and ends at(2,4), evaluate the line integral: Jc eetyds...
4 answers
Compute the following items for 𝑋∼𝑁(10,16):(a) 𝑃(𝑋<2)(b) 𝑃(𝑋>18)(c) Value 𝑥 such that 𝑃(𝑋<𝑥)=0.05(d) Value 𝑥 such that 𝑃(𝑋>𝑥)=0.95
Compute the following items for 𝑋∼𝑁(10,16): (a) 𝑃(𝑋<2) (b) 𝑃(𝑋>18) (c) Value 𝑥 such that 𝑃(𝑋<𝑥)=0.05 (d) Value 𝑥 such that 𝑃(𝑋>𝑥)=0.95...
5 answers
Blii 5 Q1/ The distance between the eyepiece and the objective lens in a compound microscope is 23 cm: The focal length of the eyepiece is 2.5 cm, and that of the objective is 0.4 cm. What is the angular magnification of the microscope if ?adjusted for relaxed viewing by the eye
blii 5 Q1/ The distance between the eyepiece and the objective lens in a compound microscope is 23 cm: The focal length of the eyepiece is 2.5 cm, and that of the objective is 0.4 cm. What is the angular magnification of the microscope if ?adjusted for relaxed viewing by the eye...
5 answers
Describe the end behavior of the graph of the function.f(x) = -2(5)*As * --, f(x)As *v0 f(x)
Describe the end behavior of the graph of the function. f(x) = -2(5)* As * --, f(x) As *v0 f(x)...
5 answers
Question 148p5In addition to natural selection; there are several other mechanisms that = can drivc evolution. You learned about some of these in the population genetics simulation you did with the virtual fish Name 2 additional factors that can cause populations to evolve (besides natural selection), arid provide an explanation for why cach on would be considered evolution;
Question 14 8p5 In addition to natural selection; there are several other mechanisms that = can drivc evolution. You learned about some of these in the population genetics simulation you did with the virtual fish Name 2 additional factors that can cause populations to evolve (besides natural selecti...
5 answers
5 . Given the graph of f' below, state each of the following, and give reasons why. Do your best to approximate the values. (4 pts)(a) the critical numbers of fthe X-coordinate(s) of the local maximum(s)(c) the intervals on which f is concave upthe intervals on which f is decreasing
5 . Given the graph of f' below, state each of the following, and give reasons why. Do your best to approximate the values. (4 pts) (a) the critical numbers of f the X-coordinate(s) of the local maximum(s) (c) the intervals on which f is concave up the intervals on which f is decreasing...
5 answers
If 2 (2 - 1) y - y =22 ( _ 4)2 then 4y (2) y (-1)24
if 2 (2 - 1) y - y =22 ( _ 4)2 then 4y (2) y (-1) 2 4...
5 answers
10. Arrange these elements in order of increasing atomic size: Ba; C, Ge; Br 1, What is the maximum number of electrons that can occupy the n-4 quantum shell?12. Write the electron configurations for each ion: 0? Na 13 . Use Lewis theory to draw a structure for each molecule. COz BF, 14. Use Lewis theory t0 draw structure for each ion: NO;"
10. Arrange these elements in order of increasing atomic size: Ba; C, Ge; Br 1, What is the maximum number of electrons that can occupy the n-4 quantum shell? 12. Write the electron configurations for each ion: 0? Na 13 . Use Lewis theory to draw a structure for each molecule. COz BF, 14. Use Lewis ...

-- 0.019199--