a) Sketch the region enclosed by y = x² sin(x) and the x-axis from x = 0 to x = π. b) Find the area of the region described above. c) Find the volume obtained by revolving this region around the y-axis.

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A: I am attaching image so that you understand each and every step.

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Q: True or False: We have Select one: True False -8 √xdx = 64 3

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A: We have to evaluate the given integration.

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A: See this solution in below

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A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 9. If = 1, 4, 5) and W = (2, -3, 1 V ( − w a) 3-2W b) |v|

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Q: find the tangent line of the function below f(x)=x+4/x and (2,4)

A: This question is based on finding slope to find out tangent line at a point.

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A: To find out the change in pressure using the differentials.

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Q: 2. Approximate √64.1 by using linearization and use a calculator to compute the percentage error.

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Q: Q2: Solve the following first-order differential equation x.e +y.- = 0 for y(0) = 1; x = 0. dx (2)…

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Q: Let f(x) = { 2x-3. 3x²+2, if x < 3 if x ≥ 3 be a piecewise function. Evaluate Sof 0 f(x)dx=

A: We can find the integration of the piecewise function as below.

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A: We are asked to find the sum of the series.

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A: In this question we are going to fill these blank up.

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Q: - [² Suppose F(x)= = sin(t) dt. Use the Fundamental of Theorem of Calculus to calculate - (F(x³)).…

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A: Topic = Trigonometry

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Q: Translate into English:  a. ∀x(E(x) ⇾ E(x + 2)).  b. ∀x∃y(sin(x) =y).  c. ∀y∃x(sin(x) = y).  d.…

A: Solution : Given that to translate into English

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

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Q: Solve

A: Topic:- solution of differential equations

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A: The Solution is given below

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Q: Let f(x) = { 3x² +2, if x < 2 2x - 3, if x ≥ 2 be a piecewise function. Evaluate [₁ f(x)dx= [

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Q: A - [4 = 2 5 5 c=[-³3 C - 1 3 2 3] 0 - 2 1 B = D= 1 5 6 1 0 - 8 2 - 4 5 0 - - 3 1 2

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A: I am attaching image so that you understand each and every step.

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A: Given that fx=x+623a.find f'x=0 and solve x is a critical numbers.fx=x+623f'x=23x+6-13f'x=23x+613so,…

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Q: 414) Find the remaining sides of the right triangle if sin B = 8 12 16 20 a) b= b) b = c) O ○ d)…

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