ข้อ 3. จงหางานที่ทำโดยแรงF ในการเคลื่อนที่วัตถุตามวิถี C ที่กำหนดให้ F = x*i + y°j, C:7(1) = Vti +3tj, 0

Q: dt 34. tan t/4 – sin² t dy - Vy dy 35. 36. yV3 + (In y)? x² 1 38. dx 4х + 5 37. :dx /x² + 2x + 5…

A: 34) Solve the integration:

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A: Given : Equation : p(y) = 1/(y+1) defined for y = 0,1,2,3,4,5,6 The following graph is obtained

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Q: a2f, a2f ду? Q1: A- Show that + = 0, where f(x, y) = In(x? + y?) + tan-(2) %3D

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Q: 2 - ) at x = 4 1+ x)

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Q: 7. Set f(x) (a) (b) (c) (d) = 2 +4 8 cos 2x, 2sin2, + e-8/2 s² + 4 S s² +4 8 8² +4 (e) None of the…

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Q: 5. Let f(x, y) = x+4 cos y. (a) Evaluate f (0, z/3), f.(0, z /3) and f,(0, x/3). (b) Use the results…

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Q: dy -1, then -2x If y= csc-(e")+Ve-1. then - Select one: -2 e+1 e2x. -1 e-1 2-1 -1

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Q: x2 +1 (и — -dx 3)(x – 2)?

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Q: 6. Find * : y- + 5)ao TK, (b) y = Sin 5x I+cos 5x dx

A: Solving the problem by finding the derivative.

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Q: d 1 (arccosh x) dx %3D Vx2 – 1 -

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Q: 4. a) Find the general solutions of the following differential equations. Express the general…

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Q: 1) [ (2t–1)² dt 2 2 2) dx X 3) [ , x(x² + 1)° d.

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Q: 5. Find L{f(t)} a. f(t) = sin?(t) + t b. f(t) = n² – 8e¬2t + (et + 1)² | c. f(t) = F, sin yt -cos…

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Q: (ex + Iny + 1/) dx + ( 1/3 + (+In x + sin y) + Inxsin y dy = 0

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