11.Sketch the graph of the region D and evaluate the double integral y dA, D = {(x,y)| 0≤ x ≤ ¹,0 ≤ y ≤ x³}. x² +1

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Q: I(X) {(-2,1), (1,4), (2,5), (3,6) g(x) = 6 + 4x h(x) = -x² + 2 2. 2h(3)+g[f(-2)] find 1. h[f(1)] 7…

A: 1. hf17=h47                  =-16+27                   =-147                    =-22.…

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Q: Find an equation of the tangent line to the graph of y = x³ – 3x – 1 at the point (2, 1). 09x - 2y -…

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A: Given: f(x)=x38-6xTo find:f'(-2)

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Q: c. Given f(x) = 2x - 3, g(x) = -4x² +9, h(x) = 4x² - 12x +9; find f(x)* g(x) 2. h(x)/ f(x) 3.…

A: Given, f(x) =(2x-3) g(x) = -4x2+9 = 9-4x2 = (3)2-(2x)2 = (3-2x)(3+2x)  h(x) = 4x2-12x+9 =…

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A: Given function:-     f(x, y, z) = x + z subject to condition x2 + y2 + z2 = 10

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A: for spring outing, 1/3 of the students in a school decided to go out on a saturday picnic. most of…

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Q: Evaluate the following triple integral by hand: 2 √z } } } - dxdydz = 3 z=1 y=2 x=-1 X y

A: Topic = Integration

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A: This question can be solved using the concept of component form of vectors.

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A: Given

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A: complex number multiplication

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Q: Find the general solution of the following differential equation. 4y" +36y' +81y = 0 NOTE: Use c₁…

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Q: 14) A 300-foot cable weighting 4 pounds per is hanging from which 300 feet Level. Find ground the…

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Q: Solve the initial value problem y″ + y = 0, y(7) = 8, y′(π/3) = − 16 y(t) = √√3cost + 8√√/3sint y(t)…

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Q: Q4A)Find area bounded by y = 0, y =√x-x² using double integration.

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Q: Find the general solution of the following differential equation. 25y" - 25y' - 6y = 0 NOTE: Use c₁…

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Q: Q4A) Find area bounded by y = 0, y = √x-x² using double integration.

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Q: Give the equation for each graph. 5 4 3 2 1 -5 -4 -3 -2 -1 3 4 -1 5 -2 -D -4 -3 -2 3 -4 5 4 + 3 2 1…

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Q: Find an equation of the tangent line to the graph of y = B(x) at x = 24 if B(24) = −1 and B ′(24) =…

A: Given thaty=B24 x=24y=B24 =-1B'24 =-14To :find equation of tangent line Solution :equation of line…

Q: 1 Find equation of plane which is containing Points A(2,1,1) and B(7,5,2) and normal to 2 x - 3y -…

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Q: A particle is moving along the x-axis so that its velocity at any time t≥ 0 is given by v(t) = 5tet…

A: Explanation of the answer is as follows

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Q: c. Given f(x) = 2x - 3, g(x) = -4x² +9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x)…

A: To find the following values.