Show that e* dx e

Q: What is tl

A: Given function is: f(x) = 3 + cos (3x) We have to find the gradient of the function.

Q: . Find EY.

A:

Q: ー★ evalva te secte dk

A:

Q: If X represents the result when a 12-sided die is rolled once. Determine ..___________________…

A: GIVEN DATA : A 12 sided doll is rolled once       TO FIND : If X represent the result then determine…

Q: Use L's Hospital's rule

A:

Q: Evaluate (a) e* dx.

A: The value is, 24  The detailed solution is as follows below:

Q: of ū at the poir 01

A:

Q: fy at (3,1)

A:

Q: Stoke's theorem

A: We have to verify the Stoke's theorem for the given vector field. It is given that

Q: What is ſ e2x dx? 1+ex

A: Given :                      ∫e2x1+ex dx     Substitute u = ex+1  ,  dudx = ex…

Q: evaluate the ntearal 4. (メースdx 3.

A:

Q: By using Mean Value Theorem, show that ln(1+x)  0

A:

Q: tanx (ln teory))

A: The solution for the above question is as shown below.

Q: Using e and e expansions, find sinh x.

A:

Q: Find mean and second moment of X.

A:

Q: evaluate Fhe In tegral 子 dx

A:

Q: Find HLK. Show your work.

A: Given, To find

Q: Find the mean value of over the interval [0,27] 4+ cosx

A:

Q: Evaluate. (Be sure to check by differentiating!) | 16. dx

A:

Q: Scin'se dx

A: In this question we have to find the Integration.

Q: Find the e

A: We see that in the given circle: The coordinates of the center of the circle are (4, 6). The radius…

Q: as Salve X- e.

A:

Q: Show that coth z = }ln (). What is the domain?

A: Here we will show that coth-1x=12lnx+1x-1 and we will damain,

Q: nitial ter t und?

A: The distance s from the ground is given by;s(t)=96+80t-16t2When, ball touches the…

Q: Show that esin(x²)dx < e– 1.

A:

Q: Find E (X/YI

A:

Q: Compute for the arcsinx dx

A: NOTE: As per our guidelines, I have solved one problem. If you want the answers of rest, kindly post…

Q: = 1 at the poin

A:

Q: Use the mean-value Theorem to prove 1 1 - < ln(x + 1) − ln x < - X x +1

A: Consider the function f(x)=ln(x) So, f(x) is continuous on 0,∞ and f(x) is differentiable on 0,∞.…

Q: Explain Fubini’s Theorem.

A: Fubini's Theorem: If f(x, y) is a continuous function on a rectangle R=[a, b]x[c, d] then the double…

Q: denote In°(x) dæ

A:

Q: Prove the identity arcsinhx=ln(x+√1+x2).

A:

Q: et dx 5-e

A: Given integral is

Q: How is ln x affected if x is multiplied by et?

A:

Q: 3:Use Gamma & Beta properties to evaluate : f (In x)³ dx

A: The gamma function is Γ(z)=∫0∞e-ttz-1dṭ The Gamma function is a non-integer generalization of the…

Q: Define t Ratio.

A: The t ratio is the ratio of estimate to the standard error. It is calculated when sample size is…

Q: if X #0 メ=ロ Frnd continuous

A: given the function fx=xx if x≠00   if x=0 we know that x=x if x&gt;0x=-x if x&lt;0 therefore,…

Q: dx (メ+)

A:

Q: Sinh SechG)

A: Given:      ∫sinh(x)esech(x)cosh2(x)dx

Q: ntegral. dx 22 O 11

A: Topic:- integration

Q: aresinx dx

A:

Q: Use an appropriate technique to integrate: ∫ ln(5x) dx Upper limit: e/5 Lower Limit: 1/5

A:

Q: Evaluate. (Be sure to check by differentiating!) S(x3 + 5)° x² dx

A: ∫(x3+5)9x2dx Formula ∫xndx=xn+1n+1+C

Q: en by

A:

Q: Expand Sinx by Maclaurin's Theorem. Expand log(a+h) by Taylor's Theorem.

A:

Q: Evaluate: fxea dx. Show all steps, and explain yourself.

A: Given: The integral ∫xe3xdx, To evaluate: The given indefinite integration.

Q: Evaluate J sec*xcosec"xdx

A:

Q: Evaluate x In x dx.

A: According to Integration by parts∫udv = uv -∫vduand choose u in this order ILATEI → InverseL → LogA…