Rewrite the expression in terms of exponentials and simplify the results. 29) sinh (3 Inx) 1 B) 2x

Q: 57. (6 + x)/4x + 9 dx

A: The given integral is ∫6+x 4x+9 dx. Let t2=4x+9. This gives 2tdt=4 dx  ⇒dx=t dt2.…

Q: Evaluate and simplify its final answer. S 6x²sin x3 dx.

A:

Q: Write an equation given the following: m = 3, y-int = -1

A: The General equation for straight line is Y = mX+C. Where m = slope of straight line. C =…

Q: 5а? + 36х + 45 dx d. x2 (x2 + 9)

A: We will solve the problem.

Q: Evaluate the integrals

A: (79) We have the given integral as I=∫x+1x4-x3dx On resolving further, we get the result as…

Q: (2 – 3x²)² e -×dx= 208 a 19860 244 O 196 aO 8.

A: The objective is to solve ∫0∞2-3x22e-xdx

Q: 111 SII xyz dxdydz= 000 а. 3/2 b. 1/2 с. 1/8 d. 3/8

A: To calculate ∫01∫01∫01xyzdxdydz

Q: t2(sinh 2.75t – 5)

A: (3) Given t2sinh2.75t−5 We have to find the Laplace transform of t2sinh2.75t−5 That is…

Q: 7x-20 T 79 Find x. 3x SI

A:

Q: sinh(2 In(8)) = (A) 0 1 (B) 64 – 1. (C) 32 + 128 (D) 8 - (E) 32 128

A: answer is given in next step.

Q: (0²+20+5)y= sinhx

A: D2+2D+5y = sinhxcan be written as:

Q: sinh(2) = O a. 2n O b. 3.626 O c. 0

A: Sinh(x) is a hyperbolic function defined as given below.

Q: Simplify: 2n + Sn

A: Given,          2n+5n

Q: 10) [2* dx

A: given,         ∫2-4xdx

Q: 11 x + 2 9 9. 59. у 3 dx 2

A: Given y=-92x+112 Differentiating with respect to x, dydx=ddx-92x+112=ddx-92x+ddx112=-92·1+0…

Q: S 2sin(4x +9)dx

A: Given query is to find the integral ∫ 2 sin(4x+9)dx.

Q: Enter an exact answer. 2 5 5 dx x4 1 2

A: Integration

Q: Q2/ B) Rewrite the following expressions in terms of exponentials and write the final result as…

A: Given expression is 2sinhx+3coshx

Q: 3x 7x® 47x7 sinh (r +x² + 2 40 24 112

A: Given: sinhx+x2+5x36+x42+3x540-7x624-47x7112 Formula used:fx=fa+f'a1!x-a+f"a2!x-a2+f'''a3!x-a3+.....

Q: What value of x makes this equation true? 5x +8+3x=26+6x OA 36 OB. 17 16 OD 9

A:

Q: (x+1) dx 13 (メ-

A: We have to solve above question

Q: Rewrite the expressions in terms of exponentialsand simplify the results as much as you can. (sinh x…

A:

Q: Rewrite the expansions in terms of exponential and simplify the results as much as you can. cosh 5x…

A:

Q: 53. 3x2 dx

A: Topic:- integration

Q: 5 ex dx e2x

A: Given: ∫5-exe2xdx

Q: 4 dx O) 2 + 5x – 14

A:

Q: 43. Evaluate I = dx or state that it diverges. lo x(2x+5)

A: Given integral is The integral is improper as the integrand approaches infinity at x=0. Therefore,

Q: 2 x³ dx Did you get an unusual answer? Can you explain it?

A:

Q: S d0 cosh 0 + sinh

A:

Q: Find simpler expressions for the quantities eln x-ln y

A: We have to find simpler expression for the given quantities: elnx-lny We know that…

Q: Evaluate 3 [³ X x² - 1 dx. Note: If the answer is not an integer, round your answer to three decimal…

A: Given, ∫23xx2-1dx

Q: E Si(0.5)-1

A:

Q: Evaluate the following definite integrals:

A: Given definite integrals are,

Q: 10 8 dx

A:

Q: Rewrite the following expression in terms of exponentials and write the final result simple as…

A:

Q: 11 10) x² e® dxdy

A:

Q: 6. S(x3 — 2х? + 3х - 4) dx

A: ∫x3-2x2+3x-4dx

Q: Use like bases to solve the exponential equation. 3n .8=21 64

A: To solve the exponential equation using like bases

Q: Determine an expression for expression for 3(y-2)³ − x² = 4x − 6. dx

A: Solving the problem by finding the value of the problem by finding the value of the derivative.

Q: 9. S 1 x√64+9x² =dx

A: The given integral,      ∫1x64+9x2dx

Q: (425 + 62?)dx Find -2

A:

Q: S(5x + 1) dx Simplify your answer."

A:

Q: Rewrite the following expression in terms of exponentials and simplify the result as much as…

A:

Q: Replace ? with an expression that will make the equation valid. -(7x + 5)² = 8(7x+5)7 ? dx The…

A: d(7x+5)8dx=8(7x+5)7? we can find the derivative by chain rule;

Q: 1 2* - 2.x? dx

A:

Q: e2 º In(2) dzr

A:

Q: 2. sinh³ 4t

A: As per our company guidelines, we are supposed to answer only the first question. Kindly repost…

Q: day Find In(2x) y =[cosh cl)]

A:

Q: Rewrite the expansions in terms of exponential and simplify the results as much as you can. 1. 2…

A: We use the formula of coshx and sinhx to simplify the given expression.

Q: -5х? —16х + 28 dx te x' -4x

A: