2.) Use the comparison test to determine if the series is convergent or divergent: 2n+3 Σ 3n2 +2 n =7

Q: nin m Find the distance between the point and the line given by the set of parametric equations.…

A: This question is based on 3-d line.

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Q: 2. Determine if the given sequence converges or diverges. If it converges, what is its limit? (a) {…

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Q: (a) Ratio Test: (n+1)! n=0 n+2 (b) Ratio Test: 51-n (n+ 1) n=1 5n2 – 2n +1 3n2 +n – 3 (c) Root…

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Q: I = -2+3s z + 4 1. Consider the lines defined by the equations l : x – 2 = y – 1= and l2 : y = -1+ s…

A: Given:  l1= x-2 = y-1 = -z+42=tl2= x+23 = y+1 = z-2-4=s

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Q: Find u · v, u· u, ||v||2, (u· v)v, and u · (3v). u = (4, -2, 5), v = = (0, 6, 3) (a) u V (b) (c)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: (0,0,0) (1,1,1) C2 C.

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 11

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Q: Let f be a twice differentiable function such that f(1) = 2 and f (3) 7. Which of the following must…

A: We have to choose correct option  Here using Lagrange mean value theorem

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Q: Find the length of the arc from 0 = 0 to 0 = 2n for the cardioid r = f (0) = 2 – 2 cos 0.

A: Solution if r=fθ  has a continuous first derivativefor α≤θ≤β then length of polar…

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Q: Let f: R →R be defined as Sr + 2, if a < 1, 1-2a, if a 21. S(1) Plot f(r) of f of all r) Based on…

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Q: C. VARIATION OF PARAMETERS 1. (D² + 1)y = secx tanx 2. (D2 – 3D + 2)y = 1 1+e-x

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Q: 14

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Q: A region bounded by f(y) = 2y, y = 1, y = 3, and x 0 is shown. What is the volume of the solid…

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A: The objective of the question is determine the interval in which given vector-value function is…

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A: As you have asked for the solution of questions a -c only. So I am solving those only. Thank you.…

Q: Question Consider a continuous function f(x). The function has critical points at.x = -2, x = 2, and…

A: topic - application of derivatives

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A: Find your answer below

Q: dz (a) Find of the following functions: dx 2+1 +cos y? = sin(y'+ 22z) COS 7 ZX %3D

A: Solving

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Q: (b) f(x, y) = 3.03 + 3y2 – 4 ln y, a = 0, y = 1, dr = 0.01, dy = -0.01. since fa (x, y) = 3.3x-1+ 0…

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Q: Find the area of the region enclosed by the rose r= 20 cos 30. NOTE: Enter the exact answer. A %3D

A: Solution is given below:

Q: Find the volume of the solid bounded by the graphs of the given equations.   z = xy,    z = 0,…

A: Given problem:- Find the volume of the solid bounded by the graphs of the given equations.   z = xy,…

Q: Q1. Choose the correct option: a) Let f(x) = |x]. Then at x = 0, the function f(x) is: %3D (A)…

A: This is a problem of limit and continuity parts. Please find the solution below.

Q: Find an equation of the plane that passes through the points (-2, 1, 1), (0, 4, 7), and (1,0, –1).…

A: The plane that passes through the point,       -2,1,1, 0,4,7 and 1,0,-1

Q: What is the average value of y =x*Vx +1 on the interval |0.2? 26 (A) 69 52 (B) 6. 26 3 (D) (E) 24…

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Q: Exercise 1.11: For each of the following differential equations, identify its order, degree, type…

A: Highest order derivative in Differential equation is called order of differential equation .  Degree…

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A: Here we have to determine whether the given function is continuous or not.

Q: Use limits to determine all the linear asymptotes of 3x2 – 5 if a1. a² + 2x – 3'

A: Let's find.

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Q: Determine if (6x + y^2) dx + y(2x - 3) dy = 0 is exact or not

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Q: 18. SHOW ALL WORK Find the square roots of - 1 + iV3. Leave answers as exact values. No decimals.

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Q: The radical center does not existif the circles are concentric TRUE FALSE

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Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

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Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

A: Find your answer below

Q: The limit of a constant is always a constant. O FALSE TRUE

A: To proof the limit of a constant is always a constant. Let the function fx=k, here k is a constant

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A: We have to find the vertex