8. Using any work found in Question 7, determine the value of the following definite integrals. 3x (x? – 5)'dx cos (x) a. b. sin(x) xp- x14

Q: Suppose that P = (x, y) has polar coordinates (r, = ). Find the polar coordinates for the following…

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Q: (2022) , find feua (0) (1-x3 2x given f(x) 2

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Q: 2. Find the second degree Taylor polynomial of g(x) = V1– 3x about 3, then use it to approximate the…

A: Find your answer below

Q: 2. If f(x)=x² – 5x find, a. f(y? + 1) b. f(z+1)-f(z-1)

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Q: Let A, B, and C be the following matrices. ] c-[] -8 6 -7 7 3 4 A = B 4 Find the products AC and BC.…

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Q: Find the general solution of the given system. 10 -5 X' = 8 -12 X(t)

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Q: Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not…

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Q: (x - 1,? (y - 4)2 OA. OB. 3D1 16 The center of the ellipse is (Type an ordered pair.) The vertices…

A: The graph is shown below:

Q: Convert to an equation in rectangular coordinates. 3 r = cos (0) – sin (0) (Express numbers in exact…

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Q: "0. Mixture Problem A biologist has two brine solutions, one containing 5% salt and another…

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

Q: Find the area of the triangle with vertices P(1,3, –3), Q(0,0,0) and R(4, 5, 1). NOTE: Enter the…

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Q: S x²(csc2x³)(cot2x³)dx

A: Given ∫x2csc2x3cot2x3 dx To evaluate the integral:

Q: 2. Find the second degree Taylor polynomial of g(x) = V1– 3x about 3, then use it to approximate the…

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Q: Find the vector component of v = 21 -j+ 3k along b = 4i + 4j + 7kand the vector component of v…

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Q: 9. 8- 7- 6- 2 9-8 -7-6 -5 -4 -3-2 123456 789 -2- -3- -4- -5 -6 -7 -8 -9- 9786 654 32

A: Topic = Circle

Q: Evaluate the limit x +y lim (x,y)→(0,0) sin y O None of these O The limit does not exis O-3 O3

A: Given problem:-

Q: Evaluate the line integral L(r – y*)dx + (1+ y² + =*)dy, where Cis the circle of radius 2 centered…

A: We have to evaluate the value of the integral

Q: Answer the following question Find the 12th derivative of the function ()65

A: To find,  12th derivative of the function x265.

Q: In 2000 the population of the United States was 280 million and the number of vehicles was 200…

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Q: Part I x² -9 1. lim х>з х-3

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Q: n=1 Vn+1 yn +2 Determine if the series converges or diverges. If the series converges, find its sum.…

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Q: For f(z) = 3e6'the value of log(f(z)) is

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Q: x2 – 1 6. g(x) = Vr – 3 at r = 4 - %3D

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Q: Does the following series converge or diverge? 7 Σ n=1 en-1 O The series diverges. O The series…

A: Ratio Test: Let ∑n=1∞un be a series and limn→∞un+1un=L , a real number Then this series converges if…

Q: Oil from a leaking oil tanker radiates outward in the form of a circular film on the surface of the…

A:

Q: dv v2

A: Use the basic properties of integration.

Q: Find the values of a, b, c, and d in the matrix equation below. [:] 10 -5 -8 -1 b. + 2 -8 -10 7 a =…

A: We will find the value of a,b,c and d of the given matrix in the following step.

Q: Consider the following IVP: y'' -10y' +9y = 5t, y(0) = -1, y'(0) = 2

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Q: Given: f(x) = with f'(x) = r(x+8)(x – 2) and f"(x) = 8(7x – 4) %3D (r+2)² ' (r+ 2)³ (r+ 2)ª (a) Find…

A: Note: Since, the student has mentioned to solve only part (a), so we are going to solve only part…

Q: Find the coordinates (x,y) of the given angles. 1. 10n 4. 45 2.플 3n 5. 270" 3. - Sn 6. 330°

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Q: Question 6 Differentiate: arcsin () + arccos (2) = 1 + arccos () = 1 %3D O y/x O (E) None of these O…

A: Derivative dydx of sin-1xy+cos-1yx=1

Q: Differentiate Derivative of Derivative Differentiation Outer of Inner Function Function 1. y =…

A: As you mentioned 2,3 and 4 solved

Q: Let g(x, y, z) = %3D Vx? +yZ +zZ Let 3 ターx? V9-x2-z2 V9-x2J9-x2_ ,29(x, y, z) dy dz dx

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Q: Suppose that P = (x, y) has polar coordinates (r, Find the polar coordinates for the following…

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Q: Find the distance between the parallel planes – 2x + y + z = 0 and 6х — Зу — 3г — 22 — 0. - NOTE:…

A: Find the distance between the parallel planes.

Q: Find the cofactor of the element a13- -2 -1 0 5 4 2 3 5 O A. 3 О В. 19 ОС. -3 O D. 14 3.

A: Given a square matrix, the cofactor of aij is denoted by Aij=(−1) ^(i+j)M where Mij s the minor of…

Q: Given: xe + In(x - y) = . Find dy/dx. %3D O dy 2ry(x-y)e+x+a*(z-y)(2a+1) da r +z? (x+y)e? 2a…

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Q: please answer the ff asap Consider the IVP: x" + x = 4et ; x(0) = 1, x'(0) = 3.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: 4x2 8(7x – 4) x(x+ 8)(x – 2) (x + 2)³ - f(r) = with f'(x) = and f"(x) = %3D (x + 2)2 (x + 2)4 a.…

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Q: Best Publishing makes and sells dictionaries. They have a monthly fixed cost of $5,976 for rent,…

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Q: Does the following series converge or diverge? 1 Σ 10 in n= 1 O The series converges. O The series…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: Given y = Vx – 2/x – 2; Find y'. O (E) None of the choices Vz-2-1 y = 2/(z-2)(x–2/z-2) VI-2–1 2(x-2)…

A: Given: y=x-2x-2   We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x

Q: 35 (2i)² 4i i=1

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Q: A function is defined by if n is even S1, f(x) = anx", where a, if n is odd 2, n=0 a) Determine the…

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Q: y2 = 20x О А. (5,0), х - -5, у-аxis В. (5,5), х%3D5, х-аxis С. (5,0), х%3D — 5, х-аxis D. (0,5), y…

A: Given query is to find the the focus , directrix and symmetry for the parabola.

Q: 39+ 5 dy (5y~7)2

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Q: I +1 5. h(a) at x = 1 x2 – 1 -

A: Factorize the denominator.

Q: Consider the function f(x)=7/x^3−6/x^6 Let F(x) be the antiderivative of f(x) with F(1)=0. Then F(4)…

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Q: 8. Differentiate each function. Express your answer in a simplified factored form a. f(x) = (x +…

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