A particle is moving with the given data. Find the position of the particle. a(t) = 19 sin(t) + 6 cos(t),    s(0) = 0,    s(2pi) = 18 s(t)=??

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A: Given dEdt=25-8t To find E(t):

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A: Use the method of substitution and solve the integration.

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A: Solved below

Q: 52° 14

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A: Solution of the problem as follows

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Q: Suppose S is a smooth surface parametrized by r(u, v) over D = [0, 1] x [0, 1] with ru = and rv = .…

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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: The given integral is  ∫ee8lnx3x dx we solve the integral using proper substitution in the integral.

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A: Consider the sine and cosine function

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Q: Find the derivative of 1-3)* (t3 -8) ,t # 2 2-t

A: Explanation of the answer is as follows

Q: Two motor vehicles, BMW and Ducati, are driving at SLEX southbound lane. At 9:00:00 am they are 100…

A: (1) speed ofducati and BMW at 9:00 =100 KMPH…

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Q: What is area of a triangle is 1/2 square feet. base is 3/5 feet . What is the length of the base?

A: A = (base)(height)/2 1/2 = (3/5)(height)/2 height = 5/3 feet

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Q: (b) Estimate the critical point(s) of f. (e) Estimate the local extreme value(s) of f. (d) Estimate…

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

A: Question no.38 solved

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Q: Let vector Ñ be normal to plane x – 5y – 2z = 3, and let Ē = (3, – 2, 1). Find the following. 1. The…

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Q: 3. The standard form of the first order linear differential equation xdy+ +(2.xy– 3y-4.x* )dx = 0 is

A: Simplify to get the standard form of first order linear differential equation.

Q: t3 after takeoff (where s is in meters), If a rocket travels according to the function s = then its…

A: As per our guidelines we can help you in solving only first problem . Rest of the problems, you have…

Q: Which among the choices is not true about the continuity of f(x)? x2-4x 5 f(x) = if x # 5 %3D 2х -…

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Q: Compute the derivative, and simplify your answer. You must show your work. t3/2 +t1/2 dt d dx

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Q: Зx+2 xp- 1-25x2

A: Given

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A: I have calculated upto eq (1) above because it is easy to calculate max value from there. You do…

Q: Find the if yvx- 8 = xy + 2 Vx - 8 = xy + 2 – 8 dx

A: We can find the derivative as below.

Q: A particle moves along a straight line with its position given by s(t) = -8t2 + 16t + 1. Find its…

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Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

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

Q: 1 1+ 2023 x If 1+- then the value of %3D

A: Answer is 2024.