Set up (but do not evaluate) the integral to compute the first moment of a thin plate of constant mass per unit area p about the line x = -3, if its edges are defined by the curves x = −y² + 9, x = y² +1. You can choose any correct answer.

Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

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A: Given y = ( x - 2 )2 y = x + 10 about x axis

Q: If z = 8x² + y² and (x, y) changes from (1, 1) to (0.95, 0.9), compare the values of Az and dz. dz R…

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Q: If f(x)=12pi^7, then what is f'(x) equal to?

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Q: J sec² (dx

A: To evaluate the given integral.

Q: The region bounded by f(x) = -8 sinx, x = π, x = 2π, and y = 0 is rotated about the y-axis. Find the…

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Q: Find a value of k for which g(x) is continuous everywhere: g(x) = - X- kx 9 3 : x 3 : x = 3

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Q: Use the Gauss-Jordan elimination method to find all solutions of the system of linear equations 3x -…

A: Given: 3x-9y=36x-18y=6x-1

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Q: Find the remainder: a) f(x) = 4x³ 3x2 - 8x +4 is divided by (x-2) - (b) g(x) = 4x4 - 1522 - 4 is…

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Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 7 1 10 2 3…

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Q: Evaluate the integral. (20t³ i − 9t² j + 10t4 k) dt -

A: let   A=∫01(20t3i-9t2j+10t4k)dtwe know  ∫tndt=tn+1n+1+c

Q: x² - 4x +6 4 X Find y' if y=- y'=0

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Q: ass on a spring bounces up and down in simple harmonic motion, modeled by the tion s(t) = 4 cos(t),…

A: Given query is to find velocity and accepted the spring.

Q: . Find the distance between the line 3x - y = 0 and the point (2,-4).

A: Let a line Px + Qy + R = 0 Let a point ( x1 , y1 ) then distance between them is d d = | Px1 + Qy1 +…

Q: Given f(x) = 8x² sin x + 13x-7, find f'(x). f'(x) =

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Q: Let y=15√x (a) Is this a power function? (YES or NO) If it is a power function, answer the…

A: given  y=15xaccording to power function definition, a single term function made up of a real number…

Q: Find parametric equation of the line in which the planes x + 2y + z = 1 and xy + 2z = -8 intersect.

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Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an n! 24n

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Q: Find the values of the constants A and B if cosh() dx = A ln(3+√8) - B√2

A: Given: ∫39cosh-1x3dx=Alon3+8-B2 To find: The value of A and B

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Q: Find the average rate of change for the function over the given interval. y=x² + 6x between x = 3…

A: Given: y = x2+6x Between x=3 and x=9

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Q: Does the sequence (an) converge or diverge? Find the limit if the sequence is convergent. an n! 42n…

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Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

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Q: Find the volume of the parallelepiped determined by the vectors a = , b = , and c = .

A: Given query is to find volume of the parallelepiped

Q: e. Sketch the graph of the x+3 x²+2x-3 f(x)=2x-1 x+1 x-3 ,x < 2 ,2<x< , x ≥ 5

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Q: Sketch a graph of the domain region for f(x, y) = ln(x + 2y² + 1) using the steps below as a guide.…

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Q: Consider the line with the equation: -3x + 2y = 4 Give the equation of the line parallel to Line 1…

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Q: dy dr = (x + y + 3)²

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Q: The temperature adjusted for wind chill is a temperature that tells you how cold it feels, as a…

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Q: Mary Stahley invested $6500 in a 60-month certificate of deposit (CD) that earned 6.5% annual simple…

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Q: x-1, (10) Consider the function f(x)=x+2 4 (a) Sketch the graph of f (b) limo-f(x) (c) limz+o+ f(x)…

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Q: 6. y = x and x = y² 2+ 1.5- 1+ 0.5- 0 -0.5 y = x x = y² 0.5 1 1.5 2 X

A: Given query is to find the area under the curve

Q: The graph of y=f(x) is shown in red. Graph y = -f(x). Choose the correct graph (in blue) on the…

A: use the sign of the graph given in picture.

Q: (c) a = i + 2j + 4k, b = 2i + 3j - k O orthogonal O parallel O neither

A: according to policy we do only first psrt of multiple there for re post other parts in next question…

Q: 11002. Use the method of cylindrical shells to find the volume V generated by rotating the y = 6(x -…

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Q: 1) Verify by substitution that each given function y, cosa cos 2x, y₂ = sinz- solution of the given…

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Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

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Q: Find and simplify each of the following for f(x) = 4x - 3. (A) f(x + h) (B) f(x+h)-f(x) (C)…

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Q: If a rock is thrown upward on the planet Mars with a velocity of 17 m/s, its height above the ground…

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Q: 1. How much work is done when a weight lifter lifts 200 kg from 1.5 m to 2.0 m above the ground?

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Q: 6. f tan x secx+4 cos x - dx

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Q: Əw Find when r = 5 and s= -5 if w = (x+y+z)².: x=r-s, y = cos (r+s), z = sin (r+s). ər aw ər -0 r =…

A: Given;  w=(x+y+z)2, x=r-s, y=cos(r+s), z=sin(r+s).

Q: Which of the following is an expression for the arc length of the curve r(t) = over the interval 0…

A: Given equation of curve is r(t)=2t2+1,2t2-1,t3 and interval is 0≤t≤3.

Q: Use the revenue and cost functions below, to answer parts (A), (B), and (C) R(x)=75x-3x² 1≤x≤20…

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