2. cos(ry?) = cot(3") + 3e"

Q: a) Determine whether the series (-1)"n² 00 Σ is convergent, n3 + 3n + 1 n=1 absolutely convergent or…

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Q: dy da = y+ Vx² – y? O y = x cos(ln|æ|+ C) O y = x sin(n|x| + C) sin-1 (를)-In|미=C coS-1 (2) -Inl피 =C

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Q: Se*(4 + e*) dx Evaluate the integral of A (4 + e*)² + c B. (4 + e*)? +c (4 + e*)² + c (4 + e*)* + d…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The volume of the solid bounded below by the xy-plane, on the sides by p-33, and above by

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Q: 1-2 I For each of the following functions given by power series, find f'(x) and / f(x)dx. Do not…

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Q: Consider the function f(x) = (c) Find the intervals of concavity and the points of inflection of f.…

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Q: 1 3 20. Find the associated P-vector. A. C. D. E. None B. ON

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Q: Express the vector 2u + 5w in the form v = v,i+v2j+ V3k if u = (4, - 5, 2) and w= (-3, 2, - 4). 2u +…

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Q: 00 (-1)2n Vn² + 6n n=1

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Q: 3. Evaluate: lim -) x-0 (sinx

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Q: 4. Find the absolute extrema (abs. max and min) of f (x) = x2 - 8x - 1 on the interval [1, 10].

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Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos² (a) COS sin (a)

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Q: Maximizing construction costs The management of the UNICO department store has decided to enclose an…

A: answer is in next step

Q: Solve for r and y the following system of simultaneous equations 2 In(z) = In(y) + In(16) %3D e e =…

A: Solution: As per given data e have two simple equation, 2ln(x)=ln(y)+ln(16) exey=e4 where,'x' and…

Q: Prove or disprove the following statement by induction 1-3-5. ... ·(2n-1) a.) 2n whenever n is a…

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Q: Suppose that f is defined everywhere and x = 2 and x = -1 are the only critical numbers for f. If f"…

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Q: 3. 4x 3 + dx

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Q: If the derivative dx (instead of .) exists at a point and dx = 0, then the tangent line at that…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: The graphs of the first and second derivatives of a function y = f(x) are given below. According to…

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Q: Select one: O True

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Q: (b) / (4 – t)Vt dt

A: Given integral is definite integral, because here limits are given. In this integral upper limit is…

Q: -2 is a critical number of the function f(x) = 2x - x2. Select one: O True O False

A: Given: f(x)=2x-x2

Q: 5. S (16z³ – 14x + 6) dæ

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Q: Consider the function f(x) = x2 -1 (a) Find the intercepts of the graph of f (if any). (b) Find the…

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Q: If T is the point at the given distance on the unit circle C from P (1, 0), determine the quadrant…

A: Here, T is on the unit circle, and its distance from the point P(1,0) is 13π12 that is:

Q: 3. Two vectors, à and b, have a common starting point with an angle of 120° between them. The…

A: Solving

Q: a) [. :l: Determine whether the following series (-1)"5"-1n . 42n+1 n=1 is convergent or divergent.…

A: As per policy only first question is answered. Please refer to the image below

Q: What is the absolute minimum value of the function f(x) = x - 3x2 on the interval [-2, 4] ?

A: Given function is f(x) = x3 - 3x2 ; -2 ≤ x ≤ 4 We have to find its minimum value.

Q: Directions: Read carefully and solve for what is asked in each problem. ds 1. Given the velocity v =…

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Q: Find the area of the surface generated by revolving the curve about each given axis. X = 4t, y = 8t,…

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Q: O Question 17 Evaluate the integral dx (7x2 + 1) by making the appropriate substitution: dx = (7x2 +…

A: Solving

Q: Find the length of the curve over the given interval. Polar Equation Interval r = 8a cos 0 16 16.

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Q: Evaluate the integral of sinº x dx from o to n/2. А. П/32 В. гп/17 С. зп/32 D. 5n/32

A: We know, 2sin2A=1−cos2A  2cos2A=1+cos2A2cosAcosB=cos(A+B)+cos(A−B)

Q: Which of the following statements is true about the function f whose derivative is f'(x) = (x –…

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Q: To start with, this behavior of the relationship between Romeo and Juliet can be expressed a the…

A: The given system of differential equations is: dRdt=aJdJdt=-bR

Q: 2x Show that y = e²* sin 3x satisfies the equation y"-4y'+13y=0.

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Q: Give an example of a differential equation  and  classify according to   order, degree ,linearity…

A: answer is in next step

Q: The polar coordinates of a point are given. Plot the point. 57 T/2 T/2 3 2 2 -3 -2 -1 1 2 3 -3 -2 -1…

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Q: Find the center and the radius of the sphe- x2 +y? +z? + 6x – 4z = 0

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Q: at is the absolute maximum value of = x - 3x? on the e function f(x) erval [-2,4] ? а. —20 о b. 16

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Q: A local garden store plans to build a large rectangular sign on the interior wall at one end of…

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Q: Let u = 8i + 2j, v=i+j, and w =i-j. Find scalars a and b such that u = av + bw. a = b =

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Q: Express the following vector in the form v = v,i+v2j+V3k. 3u - v if u = (4,6, – 8) and v = (2, –…

A: We can find the answer as below.

Q: -4 Determine the limit: lim -i (и — 1)2

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Q: Convert the equation to polar form. (Use variables r and 0 as needed.) x = y

A: Given :x=y

Q: C. Find the derivative of each of the following functions using Differentiations Rule/Chain Rule. 1.…

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Q: 1-6 For each of the following functions, find a power series representation of the function, and…

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Q: Not yet answered Marke Prove that f(x) = (x- 1) + (x +1)² is an even function. A function k(x) is an…

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Q: A car travels down a highway at 50 m/s. An observer stands 250 m from the highway. (a) How fast is…

A: Topic:- application of derivatives