Section 3.7 p. 343/345 # 364 Determine whether the improper integrals converge or diverge. If possible, determine the value of the integrals that converge. e* 364 1+e2* -00

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

A: Given y=lnex+e-x To find y'':

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A: Using chain rule of differentiation

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Q: 6) pind ful indefinite integrel. 4 sec (2x) de

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

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A: f(x)=ln xhprevoius=0.002f'(x)=f(x+h)-f(x)hf'(3)=f(3+0.002)-f(3)0.002f'(3)=ln(3.002)-ln(3)0.002f'(3)=...

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Q: Qal AIf fo =Sx-ul, gca)=x fin d fogcx) Then graph it determine domain and range.

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2.r) p) Fin...

A: To find: The Maclaurin series expansion of f(x)=ln(3-2x). Concept used: The Maclaurin series can be ...

Q: 2 sin x –1 2. у 3D cosx+ 2

A: Topic = Derivative

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A: topic - derivative of a function

Q: I Find the second derivative(y") of the following functions and simplify the final result 1. y = x –...

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Q: dy Find where y = sec-' (V3x³). dx

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Q: How to solve the following ordinary differential equation (ODE) xy' – 2y + y² = x“.

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Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (x) = 5x – 4

A: Note:- These are multiple questions and according to our company guideline we can do maximum 1 quest...

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A: Topic = Derivative

Q: 1+cos0 lim 0→0- sin@

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: .Find the inverse Laplace transform of 3 F(s) s(s? – 2s + s) O-3 – 3t + 3e 03 – 3t + 3e-t 03 + 3t + ...

A: F(s)=3s(s2-2s+s)F(s)=3s(s2-s)F(s)=3s2(s-1)Partial fraction:3s2(s-1)=As+Bs2+C(s-1)3=s(s-1)A+B(s-1)+Cs...

Q: I ind the second derivative(y") of the following functions and simplify the final results. 1. y = x3...

A: Given y=tan-12+x1-2x To find y'':

Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2x)

A: Here we have to find the maclaurin expansion of the given function.

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Q: True or False: In the partial fraction decomposition, A D + x + 3 x + 8 В x(х — 1)(х + 3) х — 1 - we...

A: (x+8)/x(x-1)(x+3) = A/(x-1) + B/(x+3)+D/x A(x+3)(x) + B(x-1)(x) + D(x-1)(x+3) Ax2 + 3Ax + Bx2 -Bx + ...

Q: (2) elnx = x (1) sin-1x = V1-x2 (1) ax A- Show that : cos x (2) lim x- cosx (2) (1) limx-0 В- Find :

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Q: Question 3 If f(x)=cos x, then f"(x)= O cos X

A: f(x)=cosx,f'(x)=ddxcosx=-sinxf''(x)=ddx-sinx          =-ddxsinx          =-cosx  

Q: S 12x²Vx3 + 7dx

A: This question can be solved using the concept of integration by substitution.

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A: The given equation,   181+e-x=2

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Q: (а) f(«) — У9-г2 (b) f(г) — Vz? — х — 6 V9-x² r-1

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Q: (2 cos 3w – sec 3w tan 3w)dw

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Q: INTEGRATE THE FOLLOWING (use integration techniques) 1. f sin xsin4xdx

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Q: 22s Determine whetuer the improper e de dliver ges or 16x It elbe converyes

A: Here we have to determine whether the improper integral ∫0∞e8x1+e16xdx diverges or converges.  

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Q: Solve the homogeneous equation (x²+y²)dy + x²dx = 0 Please help.

A: x2+y2dy+x2dx=0rewrite in standard format x2+y2dy=-x2dxdydx=-x2x2+y2

Q: Evaluate the given integrals. ex dx 7. e 2x+2ex+1

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Q: Find the indefinie intgrel wite 5 sec (2x) tan (2x) dx

A: Topic = Integration

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

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Q: 2. f(x) 3. f(x) = (56x – 3)(4x +5) = 56x - 32x + 16x - 10 4. f(x) = 2x-6 x+3

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: 4. y = x0sx

A: Take the logarithm then take derivative twice. 

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A: Solved below

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Q: om the table, determine the following limits. I-5 1. lim I-3- I-3 HI5 4. lim I-3- r2 - 6r +9 5. lim ...

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Q: Give the Maclaurin series expansion of f(x) = ln(3 – 2x). Determine its interval of convergence. App...

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