The base of a solid is the circle x² + y² = 9. Cross sections of the solid perpendicular to the x-axis are semi-circles. What is the volume, in cubic unit 16 O 4 18π 9rt

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A: Given that      g(x) = x2 - 2x ,    [0,9]

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A: The region R given is: x2+y2≤4y≥x

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A: Given: 5)     fx=14x43+x13+x-23 After simplifying we get     fx=14x43+x13+1x23 Critical points:…

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Q: For the function f(x)= (8+2x, if x5) A) use definition of continuity at a number (3- step test) B)…

A: Concept: These are the three requirements for continuity: 1). The equation for the function is x =…

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A: We have to find the largest interval centered about x = 0 for which the given initial-value problem…

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Q: (a)i- Show that the following equation represents a sphere, and find its center and radius.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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A: We have to complete the proof of property 4.

Q: Solve the following initial value problem. Provide your answer below: f(x) = ƒ"(x) = 36x² + 6x – 10,…

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Q: Set up integrals To find the area of the regions between the curve of y=4 cos x and the x axis for 0…

A: The Solution is given below

Q: Solve 4x - 5 = 19. O A. x= 10 OB. X=6 OC. x= 3.5 OD. x=8

A: We can find the answer as below.

Q: Solve the following integrals through video presentation. 12x + 6 1. =dx √x² + x

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Q: 2) Is A P Q R a right angle triangle P(-5,3) Q(-7,8) R(3, 12) and it. name

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A: We have to solve given DE.

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Q: 28 Find nd [² [ 2h f f(4x)dx if f(x)dx = 5. 16 Enter the exact answer. [fe f(4x)dx =

A: Given :∫1628f(x)dx=5

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Q: Solve the given IVP using Laplace Transforms. Solve for x(s) and STOP! (Express x(s) as a single…

A: Given IVP is x'' + 9x = cos3t,  x0=0,  x'0=2

Q: This is the approximate time right ? Making the no. of days from feb to aug into 30, by that logic…

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Q: (a)i Find a vector equation and parametric equations for the line that passes through the point A(5,…

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Q: Find the indefinite integral. x + 7 x² + 14x5 Step 1 To find the indefinite integral dx J 1 x + 7 x²…

A: To find the value of given indefinite integral.

Q: Q3 Let A(1,0,-1), B(-1,2, 1), and C(1,2,-2) are the three points in a 3D coordinates system. a)…

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Q: 3x e 1-ezx dx

A: Given, ∫ e3x1-e2xdx

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Q: Find a bif a= (4, - 1,5) ar . b = (-3, 8, 5).

A: Here we will find whether given vectors are orthogonal or not,

Q: Given the curves y=(x^2)/2​  −4·x and y=−x^2+8,   Sketch both curves on the same coordinate plane…

A: Let's solve.

Q: f₁(x) = 8, f₂(x) = cos²(x), f(x) = sin²(x) g(x) = c₁f₁(x) + C₂f₂(x) + C3f3(x) Solve for C₁, C₂, and…

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Q: Volume of the function f(x, y)=√√x+y over the triangle region bounded by x+y≤1, x20, y≥0.

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Q: • f'(x) = x − 2x 2 x¹2x² + 1; ƒ(1) = 5

A: We have given f'(x) and we have to find function f(x)

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A: We have to find r(t).

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A: Using the formulas of Cos(2x) and Cos(4x)

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Q: ries of f(x) = lor series. =0 =0 =0 (−1)²+1 (-1)²+¹ (-1)". 1 (x-7)" 8n+1 (x (x − 8)¹+1 7" E(-1)", =0…

A: We have to find the Taylor series from the given condition and also indentify  the valid interval

Q: Part 1 Basic Integration Solve the following integrals through video presentation. 1. f(4x²-3x²+) dx…

A: I can solve it but i can't explain like video presentation. It's a basic integration. Just apply…

Q: Find the indefinite integral. x + 7 √x² + 14x5 Step 1 J To find the indefinite integral dx x + 7 x²…

A: Topic = Integration Fill the blanks with   du = (2x+14) dx

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Q: Minimize c = x+y+z+ w subject to 5x - y + w ≥ 4,000 z + w≤ 3,000 x + y s 700 x ≥ 0, y ≥ 0, z ≥ 0, w…

A: Min c=x+y+z+w5x-y+w≥4000       z+w≤3000x+y    ≤700x≥0,y≥0,z≥0,w≥0

Q: Write v as a linear combination of u and w, if possible, where u- (3, 2) and w(2, -1). (Enter your…

A: Given :- u =(3,2) , w=(2,-1),v=(-6,-4)  Write v as linear combination of u and w

Q: The graph of f is shown in the figure to the right. Let A(x) = for f. Evaluate the following area…

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Q: Please solve for part a of the problem provided in the photo below

A: Use partial derivative

Q: Find r'(t) r(t) = e-ti + 7j + 4teck r'(t) = (No Response) Need Help? Read It Watch It

A: Let's find derivative of given function.

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Q: 클 ~D f(x) = x² e² е (12) Find f '(x). f'(x) = x²²²e² + e² 2x² f" (x) = X

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