Compute the partial sums S2, S4, and S6. 9 9 + 9 + S2 = | %3D S4 = | S6 =[ %3D + +

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

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

Q: Please answer number 5. And how can we identify what kind of graph is that.

A: Topic:- function and it's curve

Q: Solve the initial value problem 2x(y + 1)dx – ydy = 0, where x = 0 and y = -2. x² = y – In[y + 1] +…

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Q: List the first 5 terms of the sequence. 32 + 3n3 22 1 (а) ап — 3n3 n2 + 3n3 4 (b) (-2)n+1 + 3n 3n3…

A: a)an=13n3+223n3+323n3+......+n23n3b)4-2n+1+3nn=1∞

Q: Eliminate c from the equatia cxy + c²x + 4 = 0. O x* (y')? + x?yy + 4 = 0

A:

Q: 1.(a) Do there exist integers a, b, c such that gcd(a, b) = 30, gcd(b, c) = 24, gcd(a, c) = 54?…

A: Solving

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) = V…

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Q: Evaluate the indefinite integral. dx 2 – 7x

A: Explanation of the answer is as follows

Q: 1. The curve xy=3 is revolved one revolution about the x-axis between the limits x 2 and x= 3.…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: A. Products of Powers of Sines and Cosines, Evaluate the integrals in Exercises 1-8.

A:

Q: Find the following. u = (0, 1), v = (5, -3) (a) |u|| (b) ||v|| (c) |u + v|| (d) |u| M (e) U + V (f)…

A: We can solve this as follows:

Q: Evaluate the definite integral. e4t i+ e-j+t k)dt O et – 1 – (e-1 – 1). 4 2 O e4 i – 1 j + k 4 (e* –…

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Q: ASK YOUR TEACHE Find sets of parametric equations and symmetric equations of the line that passes…

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Q: Find f such that f'(x)= 6x-5, f(2) = 0. f(x) =|

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Q: Explain why the integral is improper. 25 05 O At least one of the limits of integration is not…

A: Here, the given integral is: ∫091xdx

Q: Find the curvature K of the curve. r(t) = 9 cos(nt)i + sin(at)j K =

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Q: Answer All Questions. lcosh" a dx. S. Evaluate dx. +2x-x 6. Find Sun "sde using integration by parts…

A: Given

Q: Bones from the skeleton of a fish have lost 30 percent of their carbon-14. Note that for carbon-14,…

A: Formula  Given  k = 0.000124 It lost 30 percent of carbon  The left is 70 percent

Q: Examples: Find the limits of the following: 1. lim sin x = sin1 = 2 5. lim sec x = lim cos(-) = cos0…

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Q: List the first 5 terms of the sequence. 1 22 3n 3n3 32 3n n2 3n (b) -2)n+1 + 3" (a) an =

A: For (a), Given: Now, an=13n3+223n3+323n3+...+n63n3   =13n31+22+32+...+n2   =n+1n+22n+363n3…

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y = fx) 8.…

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Q: 1.(a) Do there exist integers a, b, c such that gcd(a, b) = 30, gcd(b, c) = 24, gcd(a, c) = 54?…

A: (1) gcda,b=30=2×3×5  ...(1)gcdb, c=24=23×3    ...(2)gcda,c=54=2×33     ...(3)

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

A:

Q: Consider the function f(x) = 3x – 2x on the interval [- 3, 3]. Find the average or mean slope of the…

A: We know that the average or mean slope of the function f(x) on the interval a, b = f(b)-f(a)b-a

Q: / Fullscreen 2. Find the area between the parabola y = x² – 1 and the line y = x + 5. Use…

A: We have to find the area between the parabola y=x2-1 and the line y=x+5 .

Q: 5x(V1 + x-) dx

A: This question can be solved using the concept of integration by substitution.

Q: find the fun Ction Y= f(x) that satisfies hp Jメ 8x² + 7 , 7, F (0) = -13 コ

A:

Q: Consider the function f(x) = 4T + 3 on the interval (2, 5]. Find the average or mean slope of the…

A: use slope formula for finding the slope of f(x).and value of c

Q: Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8); fi-) U =

A: we can solve this as follows:

Q: The one-to-one functions g and h are defined as follows. g (x) = 3x+13 h= {(-8, -3), (-3, 2), (3,…

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Q: I can't tell what the answer is supposed to be. None of the answers are the same as the options and…

A: Apologies for the inconvenience. Here is the proper solution:   We will need the limit definition of…

Q: Verify Green's Theorem by evaluating both integrals ƏM y2 dx + x2 dy = dA ду for the given path. C:…

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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…

Q: Determine

A: We have to determine the given series is converges or diverges

Q: Find the arclength of the curve x = 3t + 5, y = 4t + 7 with 2 < t < 5.

A:

Q: Find r'(t), r'"(t), and r'(t) · r"(E). r(t) = (t2 + 7t)i – 2t?j (a) r'(t) (b) r"(t) (c) r'(t) ·…

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Q: れお! /0 fi23)=4 4 (か) 2,十 F) Eanals it Ofiles)= 12 D Not if tha above

A: Given: Fx,y = x3y2 To find: Fx2,3 We know that Fxx,y is differentiation of Fx,y with respect to x ,…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: For each of the following series determine if the series converg for series convergence or…

A: Given

Q: |r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||* r(t) = 11 cos(3t)i+ 11 sin(3t)j+ 7tk…

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Q: What is the area of the region bounded above by y = -x- + 8 and below by y = x? 54 $2 14 1 23 4 5 64…

A: This is a problem related to integration. Based on the formula of area bounded by given region we…

Q: Find T(t) and N(t) at the given point. r(t) = = 8 cos(t)i + 8 sin(t)j; t 3 T 3 N(5) = 3

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Q: Solve the initial value problem. 2x(y + 1)dx – ydy = 0, where x = 0 and y = -2. %3D %3D

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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.

Q: 1. a. Use the substitution u = e' and partial fraction decomposition to derive the following…

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Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? n+11 (d)…

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…

Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = (t2 + 8t)i - 5t2j (a) r'(t) (b) r"(t) (c) r'(t) · r"(t)

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Q: 5. Find the derivative if yyx – 8 = xy + 2

A: yx-8=xy+2Differentiate w.r.t x

Q: a, given that the line ax+y+1 = 0 is tangent to the grapl

A: We have to find the value of a according to the given information

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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