dy 9ху — 5у dx

Q: Use Lagrange multipliers to find the maximum and minimum values of the function f (x, y, z) = 2x + 2...

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Q: c.Find the first four non zero terms of the Maclaurin Series for the given functions. Write the powe...

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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: Find the derivative of the function f(x) = V(a3 + 7x) by using the definition %3D of the derivative.

A: Let's find. 

Q: 00 k k +1 k=0

A: Leibnitz's test: Let ukk∈Nbe a monotonic decreasing sequence such that limk→∞uk=0 Then the series ∑k...

Q: ekt kdt, where k is constant k A True B) False

A: B) False   

Q: x2 arctan x dx

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

Q: 5) For p > 1, the root test applied to Ln=1 nº is inconclusive (C). 5.

A: Given

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

A: Using substitution method.

Q: a4 a*dy= +C Ina A True B False

A: topic - indefinite integral

Q: -In²(Ine*) dx

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Q: Find three positive numbers whose sum is 100 and whose product is a maximum.

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Q: ex Evaluate 1 + e A arc sin e^x + C B arc tan e^x+c arc cot e^x +c

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Q: sec-dx 3 - 3 In sec – + tan- + C | 3

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Q: dy Find dx if y = x (log2(x* – 4x))° dy dx ||

A: Topic = Derivative

Q: The Taylor polynomial of order 2 generated by a twice-differentiable function f(x) at x= a is called...

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Q: Consider the function shown below. V. 4 8 What type of function is shown in this graph? O A. density...

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Q: Use the Integral Test to determine the convergence or divergence of the following series, or state t...

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

A: ∫cosh2xsinh2x2dx  

Q: set S = {1,2,3}, set T = {10,20,30}, set V = {a, e, i, o, u} function g: S T g(1) = 30, g(2) = 20, g...

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Q: x + 3x + 4x + 1 dr (x2 + 2x + 2)²

A: Given ∫x3+3x2+4x+1(x2+2x+2)2dxPerform partial fraction decomposition=∫x+1x2+2x+2dx-∫1x2+2x+2dxNow so...

Q: zV1 - (a – 1)}'da = a;+ :) a+b? What is

A: Given,             ∫12x1-x-12dx=a1b+πcTo find : What is a+bc.

Q: Use Lagrange multipliers to find the maximum and minimum values of the function f(x,y) = y² – x² sub...

A: Let's find. 

Q: 1 Σ m=1 n(1+ In*(n) 2(n).

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Q: Detemine the x-values at whìch, 9水)= 2xー 3xー+X メt,xE - スxナラメー3x underined. Evaluate the linit ac xap...

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Q: Consider tne following. (a) Set up an integral for the volume a solid torus (the donut-shaped solid ...

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Q: Σ 11 cos n=1

A: We will use the concept of nth term test.

Q: 2x +3x-2 (i) lim 2х-1 1 +1 1) lim x+2 x+3 x-3

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Q: 1 7. lim 3x8 (x5+ (2х-3)3 х-+00

A: To evaluate the given limit. limx→+∞1x5+2x-333-3x8    

Q: dx 1+ cos x + sin x

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Q: For the equation, find  dy/dx  evaluated at the given values. y2 = 2x − 13  at  x = 7, y = −1 dy d...

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Q: Let the demand function for a product be given by the function D(q) = – 1.55g + 300, whe items in de...

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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: Which of the following is/are true about the function whose graph is shown below? (6,5). (1,4) (-4,2...

A: a) function has removable discontinuity at x =-4  B) function is continuous at x = -2  C) there is j...

Q: Find the time functions for each of the following Laplace transforms using partial-fraction xpansion...

A: As per our guideline, we are advised to solve first 3 subparts of the question . So please ask other...

Q: Refer to the figure and find the volume generated by rotating the given region about the specified l...

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Q: A 3" + 4) 2 +C In27

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Q: the points Pi(6, 3) P2(-3,-5).

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Q: 3 Q 11 -3 -2 -1 1 2 For the above rational function f( x ) = identify the interval on which f is con...

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Q: 4 Find the area bounded by Y 0, y = 0, x = 2. %3D /144 – 16x? Round to four decimal places.

A: We have to use definite integration. 

Q: Q1:A/ Find the absolute maximum and minimum values of f(x) on the given interval. and local points I...

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Q: sec -dx = - 3 lIn sec - + tan 3 +C A True B False

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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: Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the den...

A: Given:           ∫3x+17x2+9x+20dx     Applying partial fraction, we get:         3x+17(x+4)(x+5) = A...

Q: Detemine the x- values at which, g(x)= 2x-3x²+x 2x3+5x²-3x is undepined. Evaluate the limit ac x=8 u...

A: To find: The value of x at which g(x)=2x3-3x2+x2x3+5x2-3x is undefined also evaluate the limit as x=...

Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then do u-sub) ...

A: The integral is given by I = ∫-∞015x-12dx Formula Used: ∫u-ndu = u-n+1-n+1+C To evaluate: The value ...

Q: Evaluate. 3 If f(2)dz = and 9(=)dz = - 1 what is the value of g(x)dx [6f(x) + 29(z)]dz =?

A: Topic = Integration

Q: 3lnx +2dr A 3lnx B 2r4 D 3lnx +2x+ E None

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Q: -4 -4 At the point shown on the function above, which of the following is true? Of' 0 O f' > 0, f''...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Set up an integral that represents the arc length of the function y = 4x4 + 5x from the point (0,0) ...

A: We have to find a, b and f(x)