3 х<1 х — 1 f(x) = 4х x > 1 (x² – 1

Q: Find all the first partial derivatives of; glw,2, y, z) = xe2w - wyz?

A: Topic:- partial derivatives

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Q: sinrdr In(cosr-3)c cosr -3

A: The objective of the question is evaluate the indefinite integral with suitable substitution.

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Q: e3 (20" – 1) dx (e – 2)“(e« + 1)+ 6x 3x A 2e3 -1 B B 2e -e D(e+1)+ E 6x 3x F) None

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Q: Ô https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28942409 Find the volume V of ...

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Q: 2 3 2 Q5. Evaluate the value of integral |[xy'z dx dy dz . 0 11

A: I have stated the used formula in the solution

Q: 1 4lnr Evaluate: | (A +C - 2(r5 – 3) +C 2(,5 – 3) 2 +C 15 4lnr 4

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Q: Expand $it) in Fourier series in the interva) (- 2, 2) when fit) = -2st <o %3D 1.

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Q: component form or standard basis vectors. Express numbers in exact form.

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Q: . If f = In(x² + y² + y³ ) then find the divergence of falso find its magnitude at 2 3)

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Q: Question / Iil Use the defination of improper integray to define 1. dox 1.2 use your defination in H...

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Q: What is the value of f(x)dx; if ca+1 2 S* f(x)dx = ?

A: Integration

Q: Calculate the derivative of h(x)= square root of x+1 when x=8 using alternate difference quotient

A: derivative of h(x)= square root of x+1 when x=8 using alternate difference quotient

Q: In Problems 1–24, find the general solution of the given differ- ential equation. Give the largest i...

A: Given differential equations comparing with dy/dx+p(x)y=q(x)

Q: Given that xyt – 6 = 0, find dy by implicit differentiation. - %3D dx? dy dx?

A: A detailed solution is given below

Q: Direction: I. Determine whether the series converges using any appropriate test. Identify the test f...

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Q: Evaluate the integral of cosh2x(sinh 2x)^2 dx

A: ∫cosh2xsinh2x2dx  

Q: ,3lnx +2x4 "dx A) 3lnx 2x4 x3 D 3lnx+ 2x4 E None

A: Using substitution method.

Q: dy Find dx if y = « (log2(x* – 4x)) - dy dx

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Q: 8. Evaluate lim sin7x. x0 3x

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Q: y Sales of Version 4.0 of a computer software package start out high and decrease exponentially. At ...

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Q: Find the derivative of the function.   g(x) = 9 3   x + 8

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Q: At what point is the tangent line to the curve y° = 6x² perpendicular to the line x y - 9 = 0? NOTE:...

A: Since tangent line of the curve y3=6x2is perpendicular to the line x-y-9=0, then multiplication of t...

Q: csc5x cot5x dx A csc5x B esc5x 3 -csc5x 3 D csc5x E) None

A: Given  ∫csc5x cot5x dx5csc5x3    

Q: a*dy= +C Ina A True (B) False

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Q: 15n + 8 J n=1 Factor the difference an+1 – an to show that the given sequence {a, } is strictly incr...

A: The given sequence is ∑n=1∞an=∑n=1∞n15n+8

Q: |(9 cos(9 x) +4 sin(4 x))dx =sin(9x)-cos(4x) +c Select one: True O False

A: topic- indefinite integral

Q: Find the radius of convergence and the interval of convergence. 00 k +2 Radius of convergence: Inter...

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Q: tan(tan 3x)dx cos? 3xl

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Q: Differentiate the functions. a) f(x) = 1 – 6x +x7 b) f(x) = (x³ + 3)² %3D

A: a)f(x)=1-6x+27x7Differentiate with respect to x   f'(x)=-6+(27×7x6)  f'(x)=-6+2x6Derivative of f(x)=...

Q: Which of the following series converges and which diverges? Find the sum of the convergent series. 0...

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Q: find the absolute maximum and minimum values of each function on the given interval. Then graph the ...

A: Solution is given below:

Q: D+ E(x – 2) + F(x – 2)² + G(æ – 2)³ -

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Q: Calculate the Taylor polynomials T(x) and T3(x) centered at a = 8 for f(x) = In(x + 1). T2(x) = (r-8...

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Q: Find the arc length of the curve r(t) = (2t3/2, cos 2t, sin 2t) from t = 0 to t = 1. %3D

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Q: -siny(x + siny)dx + 2x²cosydy = 0

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Q: Find the area of the region enclosed by the curves  f (x)  =  4x + 15 and g(x)  =  2x + 33, and the ...

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Q: Find the absolute maxima and minima of the function on the given domain. T(x.y) = x +xy +y- 12x +2 o...

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Q: 11. Find the slopes of the curve y y?- r2 at the two points shown hcrc. 2 (V3 = y2 - x?

A: we have the curvey4=y2-x2

Q: c =

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Q: Find f+ g, f- g, fg, and f/g and their domains. (x) = 5 - x, g(x) = x2 - 4x Find (f+ g)(x). Find the...

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Q: 3t 3 dt +C 3lna A) True B) False

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Q: 27 dx 1 - 8 ,3 II

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Q: Evaluate the integral and find a + ß+p-o (1+ tan x)dx cos? xV5 – 3 tan2 x va Sa 1 arcsin 1 tan x) + ...

A: Given

Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and then find the nth Maclaurin polyno...

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Q: Compute T2(x) at x = 1 for y = e" and use a calculator to compute the error |eª – T2(x)| at x = -1.5...

A: Find your answer below 

Q: 1. f(x) = 9-6x 2. g(x)= a. f(-1) a. g(2) b. f(1) b. f(a+b) c. f(3 + x) c. g(2 -x)

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Explain if the function is continuous or not for the given number a. if x>1 if x = 1 ,a=1 if x<1 f(x...

A: we have given function     we need to determine the continuity at a=1