Evaluate π [15. 0 T $15 0 15. 1 - cos x 2 1 - cos x 2 dx = dx.

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Q: blem #3: The inverse Laplace transform f(t) = -¹ {F(s)} of the function e-25(6s - 8) F(s) = S² +49…

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Q: Let f be the function defined as f(x) = { 1 3x-4 for x <3 for x ≥3 Which of the following statements…

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Q: 29. a(t) = -32; v(0) = 70; s(0) = 10 30. a(t) = -32; v(0) = 50; s(0) = 0 31. a(t) = -9.8; v(0)=20;…

A: 29) a(t)=-32, v(0)=70, s(0)=1031) a(t)=-9.8, v(0)=20, s(0)=0

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Q: The demand equation for a certain product is 6p² + q² = 1,200, where p is the price per unit in…

A: The demand equation for a certain product is 6p2+q2=1200,where p is the price per unit in dollars…

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Q: *P(zx) ulg*J

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Q: 32. Assume that f is continuous and S f(t)dt = sinx -x cos.x. (a) Determine f(π). (b) Find f'(x).

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Q: =S₁² Vt2 + 17 dt. Find 8 Let F(x) = (a) F(8) = (b) F'(8)= (c) F"(8) -0

A: Let .To find the following:

Q: a) dx dy b) = dx c) = ln(x) ex dy dx = x² + e¹0x = yx³ if y(0) = 4 ifdy |x=1 = e² dx if y(0) = 1

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Q: 1. Show that y PRACTICE EXERCISES FOR $9.1, 89.5, X is a solution of the differential equation that…

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Q: 6. Suppose f f(x) dx = -5, and fg g(x) dx = 1. Evaluate the following integrals using the properties…

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A: Since you have asked multiple questions in a single request so we will be answering only first…