To evaluate x²cosx dx use integration by parts. What is the expression after the second integration by parts? x2sinx + 2x cost – 2 2 / COST cosx dx + C x’sinx+2x cosx – 2 2f sinx dx + C x’sinx – 2x cost – 2 2S CONT cosx dx + C x2sinx − 2x cosx+2 2fcos cosx dx + C B

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A: We have to find out value

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A: We have to find rate of change

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Q: 7. xdy = (5y + x + 1)dx Ans: y = -x-+cx5

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Q: Question 12 What is the value of f(1) - 16B in [x³ Inx dx = f(x) ((1/4) Inx-B) + C? (A) 1 B) 3 2 D

A: Please see the below picture for detailed solution.

Q: For the following problems, find the general solution. 128. y" cos(x) + 2y + y

A: To find the general solution of the following differential equation.y''=cosx+2y'+y

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Q: 5. Evaluate the following triple integral. ſſſ (.x² + y² ) dx dy dz D D={(x,y):x² + y² ≤9.15:53)

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Q: What is the value of f(1) - 168 in [x³ Inx dx = f(x) ((1/4) Inx-B) + C? 0 1 3 2

A: Let's evaluate given integration.

Q: -S₁ Consider 08 14/3 O 17/8 05 3x5 3x4+6x³-3x²-6x •√(x-1 -dx- Using the method of partial fractions,…

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Q: Consider J x sinx cosx dx = f(x) sin2x-g(x) cos2x + C. What is the value of f(1) + g(1)? A) 1 B) 1/2…

A: We have to find the integral

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A: To show that limit does not exist.

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Q: 3. Find the average value of the function on the given interval. a. f (x) = 4x − x², [0,3] 2 2 b. f…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

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A: SOLUTION-

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A: Given: y=x2+5 Graph of the functions given are

Q: Question 1 What is the value of f(1) - 16B in fx³ Inx dx = f(x) ((1/4) Inx-B) + C? 12

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Q: Question 3 To evaluate (B fr²cost sx dx use integration by parts. What is the expression after the…

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A: Topic = Function

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A: The objective is to find the slope and equation of tangent line.

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Q: Question 6 6dx For the method of partial fractions, to evaluate S90 -1 = S Adx + S = X-1 Bdx X+1'…

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Q: What is the value of f(1) - 16B in [x³ Inx dx = f(x) ((1/4) Inx-B) + C?

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Q: 10.1.16 Question Help w a Given parametric equations and parameter intervals for the motion of a…

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Q: 154. Use the Fundamental Theorem of Calculus, Part 1, to find sin x d dx √1-t²dt.

A: Topic = Derivative

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A: On solving this we will get

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A: As per the instruction, we will be answering the first three subparts. For (a),…

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Q: 23. Consider the circle x² + y² = R². (a) Write down parametric equations to traverse the circle…

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Q: Evaluate sin (1 sin (Inx) dx Integration by parts will be used repeatedly. What is the expression…

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Q: dx 3-2x-x2

A: Since, the student has posted multiple questions and mentioned to solve no. 5 but there is no no. 5…

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A: Marginal revenue at (x=30) =dRdxx=30

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Q: Identify and sketch the graph of the following SURFACES. x² + y² = sin² z, Z = [0, π]

A: Given.   x^2+y^2=sin^2z

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Q: Question Find the area of the region that is bounded above by the curve f(x) = (x - 1)² and the line…

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