Find the linearization of y = eV3x у at x = 64. (Use symbolic notation and fractions where needed.) L(x) =

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A: Given problem:- By considering the real and imaginary parts of the product eiθ eiφ prove the standar...

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Q: Let f(æ) = (4x² + 5æ + 2)° f'(x) =

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Q: If u = e°", 3x dv = 4 sin 2x da then 3e* da, v = 2 cos 2x. Select one: O True O False

A: Let's find. 

Q: 2) Let r(t) = (t, t² , e'). Find an equation for the unit tangent vector T(t).

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Q: - y = (2x² – 4x + 1)60

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

Q: Replace ? with an expression that will make the equation valid. d 1 In (x8 +9) : %D dx 8 x° +9- The ...

A: Given query is to find the derivative of the expression.

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A: Using chain rule of differentiation

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A: To find the volume of S using cylindrical shells method. Given information: Let S be the solid obtai...

Q: Using the integration bay parts formula with u = x², dv = cos x dx, the integral x* cos x dx becomes...

A: Given u=x2   & dv=cosx dx∫x2 cosx dx  

Q: Replace ? with an expression that will make the equation valid. d. x* +5 = ex +5? dx The missing exp...

A: Consider the expression  ddxex4+5=ex4+5   _

Q: Find the area of the triangle with the given vertices.     (−1,−1), (5,−1), (2,5)   The area of the ...

A: Area of triangle = 12x1y11x2y21x3y31 x1,y1=(-1,-1)x2,y2=(5,-1)x3,y3=(2,5)  

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A: Given query is to find the graph of the quadratic function.

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Q: 2.) State one of the two formulas for finding the derivative of a function f(x) that uses limits. Us...

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Q: 4. y = xcoSx

A: First we take log both sides and then differentiate both sides with respect to x.

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A: Given query is to find the value of a and be.

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Q: Let g(x,y) = x³ – 6x² – y* + 5. Find and classify the critical point(s) of g.

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

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Q: The Taylor series expansion is given by: 00 (-1)" sin x= 2n +1 (2n + 1)! n= 0 Evaluate sin 44° using...

A: We will find all the asked values using Taylor series expansion as following.

Q: Use an appropriate test to determine whether the series given below converges or diverges. 00 2n Σ 7...

A: We can test the convergence as below.

Q: a) Show that f(x) = |5x+6| is continuous everywhere. (One point in particular is important to check)...

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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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Q: for the indicated integral, what would the first step be? sin't dt, Vcost Save a sine and convert th...

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Q: A pine tree growing on a hillside makes a 76°angle with the hill. From a point 83 feet up the​ hill,...

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Q: Question 3 Find the change in y = 2x -3 if the x changes from 3.3 to 3.5. А) 0.1 0.2 0.3 0.4

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Q: 3x2+- 8(y + 1) = 0

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Q: True or False: If we use substitution the substitution x = tan 0, then, the integral dx V1 + x2 tran...

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Q: Determine the value of the given integral given the equation presented below. Answers should be expr...

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Q: e in free space is 1 millimeters and h = 100 t 32 1 millimeters. (Round your answer to six decimal p...

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Q: Use long division to divide and use the result to factor the dividend completely. (5x2- 3x-14) (x- 2...

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

A: Given:   ∫17x-1x2+16 dx

Q: Use linear approximation, i.e. the tangent line, to approximate V27.3 as follows: Let f(x) = Vx. The...

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Q: ř(-1)"+12nx" n2 + 3 Determine the interval of convergence of n=1

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Q: Solve the differential equation by using integrating factors. xy' = 3y + x2

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Q: 3. Use the Comparison Test to determine if the series 5n Cos 2n n³ + n² + 1 n=1 converges or diverge...

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Q: sin? - cos' 2 2 zdx 2.

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Q: Using f (x) = In(3 – 2x), find the value of L and calculate the radius of convergence of the series....

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Q: i- graph and Rined Demain and Range for yz sin'x- 3 ーhn Hi-z+ 3x3-5 2. - graph apel find Df f Rf for...

A: 1. y=sin2x-32. limx→∞4x3-2x2+13x3-53. y=-5sin2x Note:      Multiple questions are given, we are answ...

Q: 12x e-y with x 20 and an initia. Solve the initial value problem condition y(0) = 1.

A: Topic = Differential eqaution

Q: graph ard fined Domain and Range for yz sin'x-3 ーhm H-zx+ メー→ 3xー5 - greph amel fnd Df f Rf fir ye -...

A: Note:- These are multiple questions and according to our company guideline we can do maximum 3 quest...

Q: Find f'(x). f(x) = (5 + In x)° 6. f'(x) =D %3D

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Q: lim, s0¤(t) = 1? Оа. "+а — 0, z(1) — 2. 0, г(1) — 2. ОБ. — - 0, 2 (2) — 1. Ос. - 2г — — 0. 0, æ(1) 0...

A: To determine which of the following initial value problems has a solution xt.limt→∞xt=1a x'+x=0, x1=...

Q: ) Find the indetinite întegrel. 8, Inede

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Q: ng - 0.25t measures the concentration, in of a drug in a person's system t hours after the drug is a...

A: Goven,             Ct=49.2te-0.25t measures the concentration in ngml, of a drug in a person's      ...

Q: siny Given the integral S" S" dy dx, Sketch the region of integration, reverse the order of integrat...

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