Let P(x)=x³-2x²-11x+12 Show that x-c is a factor of P(x) if c=-3 of P(x) if c=-3- Use this fact to fully factor P(x).

Q: A small funnel in the shape of a cone is being emptied of fluid at the rate of 14 cubic centimeters ...

A: For the solution follow the next step.

Q: Is the series convergent or divergent? Justify the answer by solving it and explain why it is conver...

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Q: a sin a + In v ) da + tan adv = 0 cos a |(In v)(sin a) = v cos a – sin a + C In v = a cot a – 1 + C(...

A: This question can be solved by applying the concept of linear differential equation.

Q: Find the surface area generated by revolving about the x-axis the curve y = 2(15-x)^1/2, from x = 5....

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Q: (m ?+a? +i) dm (m-2a )da + m =0

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Q: dy yz + yi = 1 when x = 0, y = 4 dx

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Q: Find the Maclaurin series for the function. f(x) = x² sin(x) - Σ f(x) = n = 0

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Q: Q1) Graph the following functions and determine (domain & rang): (a) y= 2sin2x, (b) y=1 + 4 + x (c) ...

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Q: Write the first five terms of the sequence: {Vn² + 2n – n}=1 +00 Determine whether the sequence conv...

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Q: Find all the zeros. Write the answer in exact form. m (4) = 5x -x- 35x+7 If there is more than one a...

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Q: You record the temperature every hour from midnight until 8:00a.m. You see that the temperatures (in...

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Q: Use the formula for the binomial series: (1 + x)" m(m–1) 2 -x² + 2! m(m–1)..(m-k+1) + 1+ mx + ... .....

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Q: Evaluate the double integral. 7x(64 + y?) R R is the region in the first quadrant enclosed by y = x*...

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Q: Find the equation of the tangent line to the curve y = 4 sec(x) – 8 cos(x) at the point (T/3, 4). Wr...

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Q: a sin a + In v ) da + tan adv = 0 cos a (In v)(sin a) = v cos a – sin a + C In v = a cot a – 1 + C(A...

A: The solution is given in the next steps.

Q: cos(x + y), when x = 0,y = ' dy dx

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Let's find. 

Q: 1. (Rew Echelon and Reduced Ro w Echelon Form). Which of the folowing matrices are in row echelon (R...

A: Note: A matrix is in row echelon form (RE) if it satisfies the following three properties:1. All non...

Q: dx and 3. Given the following parametric equation: =3t^2, =t^3+4. Determine without eliminating para...

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Q: Find derivative of F(x) = x^x

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Q: Given z=2. Find zyy xy.

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Q: ng of a drug in a person's system t hours after the drug is administered. ml -0.22t If C(t) = 53.7t ...

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Q: Suppose that the total number attendance A (in thousands) at NCAA women's basketball games is modele...

A: Given: - Suppose that the total number attendance A (in thousands) at NCAA women's basketball games ...

Q: siven X(z) = 2+ 6z-1 find x(1) of x[n] 4 2z-2+13z-3 O 1 O 0.5 O-1 O 1.5

A: In this question we have to find the value of x(1).

Q: Convert the Cartesian coordinate (– 5, 2) to polar coordinates, – 27 0. No decimal entries and answ...

A: The given point -5,2

Q: 1. Use the function g(x) 2x2-4x x2-9 %3! a. Use a calculator to graph g(x). Make sure you have a win...

A:   The given function is: g(x)=2x2-4xx2-9

Q: Given the function s(x) and the following information: 1. s(-7) = 5 2. s'(x) > 3 on [-7, 2] Which of...

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Q: Test for convergence or divergence, using one of the tests listed below. n(n + 2) O converges O dive...

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Q: (2y² + 4x²y)dx + (4xy + 2x³)dy = 0

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Q: Find the surface area generated by revolving about the x-axis the curve y=2(15-x)^1/2, from x=0.59 t...

A: Area =integration of 2πg(x) √1+(g'(x)) 2 dx

Q: ind the derivative of the 1. y x cos x

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Q: Determine the convergence or divergence of the series using any appropriate test from this chapter. ...

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Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: %3D

A: Formula:ddx(tan x) = sec2xddx(ln x) =1xddx(xn) =n xn-1

Q: Write six different iterated triple integrals for the volume of the tetrahedron cut from the first o...

A: In order to answer this question completely and clearly first we need to give six different iterated...

Q: A small funnel in the shape of a cone is being emptied of fluid at the rate of 13 cubic centimeters ...

A: topic - application of derivatives

Q: What is the Maclaurin series expansion of f(x) = ln(3-2x)? Find its interval of convergence. Approxi...

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Q: Let U be the set of integers. Let A = {3,6}, B = {3, 8, 10, 12} and C = {6,8,10}. Perform the indica...

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Q: Use Newton's method to approximate a root of the equation 5x' + 4x* + 4 = 0 as follows. Let x1 = 2 b...

A: Given equation 5x7+4x4+4=0Let f(x)=5x7+4x4+4

Q: 50. x = f(p) = 875 - p- 0.05p (A) p = 50 (B) p = 70 (C) p = 100

A: Let's find. 

Q: Use the formula for the binomial series: 1+ mr + m(m-1) 2 , 2! m(m–1)---(m–k+1). (1 + x)" = + %3D k!...

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Q: Prove the identity. cosh(-x) = cosh(x) (This shows that cosh is an even function.)

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Q: 3x?dx 10. S 9x6-12x3+4

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Q: F(x) = 4-tan(x) / 1-x^2 find the derivative

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Q: 4- if f(x)= {† * *S S2 +x x 15 is this function is continuous or dicontinuous a) continuous b) dicon...

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

Q: 5. Given a curve in the following parametric equation: x = 3- 2 sint, y = 4+ 2cos t, 0<ts Then: a. D...

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Q: QUESTION 2 Use factoring to solve the equation. Show your work on a separate paper. 3x2+25x -42

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Q: (w - 3x +3)dw + ( 3w + x + 9)dx=0

A: Note:-AS PER OUR COMPANY GUIDELINES WE CAN ANSWER ONLY ONE QUESTION IN CASE OF MULTIPLE QUESTIONS PL...

Q: Suppose z = f(, y) = (x² + 4) sin(y) + xy². By setting one variable equal to a constant (either x = ...

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Q: Write the equation of the ellipse 4x² + 25y? – 40x + 150y + 225 = 0 in standard form %3D (x – h)?, (...

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