Determine a definite integral that represents the area of the region enclosed by r = 7 sin 0. •b Bounds: a = 0 to b = do

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A: *Note – As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly…

Q: Suppose f(1) = 2, ƒ'(1) = 3, ƒ (2) = 1, ƒ'(2) = 4, and g(1) = 3,g'(1) = 5,g(2) = 1,g′(2) = 4. If…

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Q: Find an antiderivative F(x) with F'(x) = f(x) = 5e" and F(0) = 0.

A: F′(x)=f(x)=5ex and F(0)=0

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A: To calculate the area bounded by the curvesy=x^3 and y=4x^2

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A: Consider the curve

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Q: Find the integral. Use C for the constant of integration. | cv² (y² + 3)² dy

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Q: Evaluate the limit, limx→∞ 3x² e4x

A: L=limx→∞e4x3x2

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A: As per the company's guidelines, we are supposed to answer the first three sub-parts for you, Kindly…

Q: Find the general indefinite integral. (Use C for the constant of integration.) [(cos x + x)dx…

A: The given integral .The aim is to find the solution to the integral and sketch its graph.

Q: 27. Maximize z = 5x + 8y subject to x ≥ 0, 2x + y ≤ 8, and x - 3y = -3. of flare

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Q: Find f such that f'(x) = 9 √x f(9) = 59.

A: f′(x)=9x,f(9)=59

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Q: 1. Find the area bounded by x = y²; x = −2y² +3

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Q: x3 x² + 4x +3 Example: ₁ dx

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Q: 5 Find an antiderivative of the function g(z) = = 23 An antiderivative is

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Q: 3. Consider the function y = f(x) whose curve is given by the equation 2y² - 6 = y sin x for y > 0.…

A: Note:-As per your demand we solve part d for you Given derivative and point when is

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Q: 1 Find an antiderivative F(x) with F'(x) = f(x) = -x and F(0) = 0. 3

A: F′(x)=f(x)=13x and F(0)=0

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