The function f is shown below. What is the value of nswer in simplest form. -8 -3 N 3 H N W 4 in -5 -6 -7 -8 [²₁0 1 Graph of f 8 9 10 f(x) dx? Write your x

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Q: Use calculus to find the open intervals on which the function f (x) = x +4√1 − x is increasing or…

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Q: Evaluate the definite integral (3625 - 24) dz using Part 1 of the Fundamental Theorem of Calculus.…

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Q: Factor the following polynomial: 2x2 - 8x + 6 (2x + 3)(2x - 2) (2x + 3)(2x - 3) 2(x - 1)(x - 3)…

A: The given polynomial is 2x2-8x+6.

Q: Differentiate the following function. You do not need to simplify the derivative. ƒ'(x) = 5 f(x) =…

A: Derivative of function f(x)=lnx5

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Q: Consider the circle, x² - 8x + y² + 2y-8=0 i) ii) Write the equation of the circle in standard form.…

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Q: Find the general antiderivative of f(x) = = + C -28²³-03-2/3 + √²

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Q: Find the absolute maximum and minimum, if either exists, for f(x)=x² - 6x + 6. Find the first…

A: We have to find absolute maxima and minima of given function.

Q: the area of the ellipse 9x^2 + 8y^2 = 72 answer: 26.7

A: To Find: Area of the ellipse  9x2+8y2=72

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Q: 3. a. Solve the differential equation y'= 2x√/1-y² b. Explain why the initial value problem y'=…

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A: A question is provided. In this question, we have four options. We have to choose one option.

Q: Starting at age 25, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

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Q: Solve: 0=√x+1-√3x - 1

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Q: 1. A particle moving along in a straight line with a uniform acceleration covers 72 cm displacement…

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Q: Use basic identities to simplify sin³ x + x + cos²x sinx. Enclose arguments of functions in…

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Q: Solve the differential equation dy dx y+√√x²+y² X O a. y² = 2x-1 O b. x2 = 2y-1 O c. √x² + y² O d.…

A: To solve the given differential equation.

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 4 8 16…

A: Topic = Sequence

Q: + y² x² + y² = 64 from x=-1 to x=-3 Find the length of arc of the curve x²

A: Given: x2+y2=64 From the limit  x=-1 to x=-3 To obtain the length  of the arc:

Q: In this question, consider the vectors 10 8 V1 ~- - ( ) - ~- - ( ) - - - () ---- () v2 = V3 = b and…

A: The objective of the question is determine the coefficient matrix" A" without simplifying.

Q: Evaluate the indefinite integral. 2x - 3 (2x² - 6x + 6)² dx + C

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Q: Find the area A of the shaded region of the cardioid r = 9 - 9 cos (0) . 3 -X The cardioid (Express…

A: This is application of integration problem

Q: If north is the direction of the positive y-axis and east is the direction of the positive x-axis,…

A: Solution

Q: A particle is moving with the given data. Find the position of the particle, s(t). a(t) = 2t + 7,…

A: To find out the position of the particle.

Q: Which of the following represents a valid first step to solving this system of equations using the…

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Q: 76 6 27 6 Σ [5 (2 + (i - 1) =) * - 7 (2 + (x − 1))"] n n as a definite integral, that is provide a,…

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Q: Write the following expression as one integral. 3 5 3 [ -6 f(x) dx + f(x) dx - f(x) dx 0 0 3 5 3 $…

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Q: Viola makes gift baskets for Valentine's Day. She has 12 baskets left over from last year, and she…

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Q: Solve the following differential equations y" - y'= 4cos²x

A: We have to solve the differential equation y''-y' = 4 cos2x

Q: When trying to figure out how many $5 burritos and $3 tacos to buy, which equation represents the…

A: Let  B be the number of burritos, T be the number of tacos

Q: a) b 5. c) [ 4x²-3x+2 dx. x Evaluate f Solve the initial value problem = cost-2 sint, z(0) = dt Find…

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Q: Find fxy(x,y) if f(x,y) = (x² + y²)6.

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Q: Find the area S of the shaded region in the figure if ƒ (0) = 0² + 30. Note that 0 varies from 0 to…

A: To find the are S of the shaded region in the figure if fθ=θ2+3θ Note that θ varies from 0 to…

Q: Solve the following system of equations: 2x - 3y = 21 and 5x + 4y = 18 (6,-3) (9,-1) (2,2)…

A: To solve the given system of equations.

Q: 1.2: The solution of (Se*-3)³ = 32 is a) In 3 b) 2 c) 1 do e) None of the above

A: Explanation of the answer is as follows

Q: Find the area of the following region. The region inside the inner loop of the limaçon r = 2+4 cos 0…

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Q: 2x²-3x + 10 dx (x²+4)2

A: The objective of the question is evaluate the indefinite integral.

Q: Compute the given integral. 11z - 2 11x² - 4x + 5 -dr +C

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Q: cos(20) - cos(0)=0

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Q: inside lemniscate- r² = 6 cas20 outside circle- r= √3 find area

A: Please see the below picture for detailed solution.

Q: S √x²-a² X dx

A: To solve the given integral.

Q: Compute the given integral. fcos¹ a a sin ædx = +C

A: Our Aim is to evaluate the integral given below:-∫cos7 (x) sin (x) dx -(i)

Q: Find the integrating factor μ(x) of y' + 4y - tan(x) = 0 such that μ(0) = 1. μ(x) =

A: See the details solution in below

Q: Write the sum using sigma notation. √ √2 √2 √3 + 26 36 Σ k = 1 16 + Need Help? X Read It + + √n 76

A: The answer is given below:

Q: xy - Y lim(x,y)→(1,0) (x − 1)² + y²

A: Please see the below picture for detailed solution.

Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

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