Question 2 Choose the correct answer. The average rate of change of the function f(x) = x² + 1 from x = 0 to x = 3. (Hint: Look at in the note of Section 2.2 example 1, Page 3 or in the website with the link in Page 3) 2 01 3

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A: topic - functions

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A: The objective of the question is determine the I.F. and solution of the differential equation.

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A: Let hx=x+5To find the value of the function given below.h4n+9=?where n≥-72

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Q: (b) xy' = 2y + x³ cos x x 500 ₂x = L = ² - ₁ k P(x) = -2/² Q(x) = x² cost dix) = -Sdx e ^4 = = = = =…

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A: In this question we have to find the volume of the region bounded by curves using washer method.

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A: We have to solve ∫02e-2x2dx   by  using Taylor series            since,  we know that…

Q: 9. 1 Sketch the graph of g(x)=sin5x, using the amplitude and the period.

A: Solve the following

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A: Given Power series,∑n=1+∞x+1n3nn2 + 1

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A: Let's solve by using integral test.

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Q: (c) sin(3x) sin(x)dx

A: Evaluate :   ∫sin(3x)sin(x) dx

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A: The given equation is;  (t2-10t+21)dx/dt =1 (t>7, x(9)=0)

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Q: 2. Find the gradient of the following functions a. F=x²sin(5y) b. F = x¹yz c. F=x³exy + ²x

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Q: Mixed Partial Derivatives In Exercises 55-60, verify that way 55. w = In (2x + 3y) 57. w = xy² +…

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A: A detailed solution is given below

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A: Let's solve given integration.

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Q: Let f(x, y, z) = 3xz + sin(ry)e*. what is faz? Find the gradient at the point (0, 0, 0)?

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

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A: Given  y = x3-24 lnx+7,  12, 3.

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Q: myopenmath.com/ Write an expression in factored form for the polynomial of least possible degree…

A: Solution :According to graph it has 4 roots.so least possible degree of 4.yx=kx+4x+1x-2x-4graph…

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