Compute for the net area bounded by y = 0.75x2 - 3x and the x-axis (note: 1 box/gridline equal to 1 unit) O 4 sq. units O -4 sq. units O 8 sq. units O -8 sq. units

Q: 38. 4y" + 8y' + 3y = 0

A: Question no.38 solved

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A: To solve: θdydθ+3y = sinθθ2, θ>0, yπ=-5 ⇒dydθ+3yθ = sinθθ3 This is a linear differential equation…

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A: Find your answer below

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A: ddttn=n.tn-1

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A: Here is the solution

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A: Open the summation for the given value  of i

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Q: Sketch the region of integration. (Select the correct graph.) "In 3 dy dx In y y y

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Q: if S f(X) dx = 36 and 9(x) dx=13 find So [4f(x) +69(x)] dx %3D

A: ∫064f(x)+6g(x)dx=4∫06f(x)dx+6∫06g(x)dxSubstitute ∫06f(x)dx=36 and ∫06g(x)dx=13

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A: Use the homogeneous differential equation method to solve the second order differential equation.

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Q: Consider the series (z – 9)6, (z - 9)8 E4. = (2 - 0)2 + (- 9)“ E, = (z - 9) + +... 3- 2! 9.3! 27- 4!…

A: This question can be solved using the concept of general term of series.

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A: Given: s(t)=8t2+30t Recall: velocity at time tv(t)=ddt(s(t))

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A: Solved below

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Q: Tutorial Exercise Evaluate the definite integral. Use the integration capabilities of a graphing…

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A: Given:

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A: As we know that n-th term of an arithmetic series is    a+n-1d, where a = 1st term and d= difference…

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A: Use trigonometric ratio to solve

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Q: Convert the point (x, y) from Rectangular to polar coordinates (r, 0). 3. (–1, v3)

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A: In these question , we can check where the function is continuous . Check where the function is…

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Q: of the curve defined by x=3t-t anc

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Q: 4) Find the equation of the plane that passes through the point (6,0, 2) and contains the line x = 4…

A: The plane that passes through the point (6, 0, 2) and contains the line x = 4 − 2t, y = 3 + 5t, z =…

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Q: Determine if the following statement is true or false. The lines Lj and L2 are skew. L1:x = 7+ 2t, y…

A: A detailed solution is given below

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A: We need to find the volume of the given shape.

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A: Since multiple subparts are asked, I am answering first 3 subparts. Here we will use first…

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A: To test the series for convergence or divergence. ∑n=1∞ n·35nn+2!

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Q: From Rogawski ET 2e section 10.2, exercise 36. Use the formula for the sum of a geometric series to…

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A: Given problem:- A gardener with 600 meters of available fencing wishes to enclose a rectangular…

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A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

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A: We need to prove the statement.