Find the center of mass of the particles with the given masses located at the given points. 18) 11 at (-2.9, 0), 17 at (4.6, 0), 31 at (6.9, 0)

Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: ∫ dx/(1-x2)sin-x lets substitute u = sin-x du/dx =1/(1-x2) du = dx/(1-x2)  ∫ du/u = lnu + C put u =…

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Q: exercise

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A: Solving the problem by finding the simplest form of the given expression.

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A: Solving the problem by finding the value of the integration.

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Q: Evaluate the integral by interpreting it in terms of areas. (10 – 5x) dx

A: Explained below

Q: Let f(x) be the function 2x – 11x + 5. Then the quotient f(5 + h) – f(5) can be simplified to ah + b…

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Q: Evaluat each Integral. For definite integrals, give exa Only, S X (2-5x)*dx dt

A: Topic:- definite integration

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Q: th Use the ri"-term test to find wether the fottowing Sexies exe divergent or not- n+2

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Q: 9! Calculate 7. 4! 5! 3024 15120 1814400 126

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Q: 3 6 Evakuate the determinant for the followeng matrix 5/ 1 OAR OC.

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Q: Let yu + 3v+7 =2. Complete parts (a) through (c) below. du (a) Find the derivative dv du dy

A: Note: As part (a) is only attached solved that for you.

Q: Find all vertical and horizontal asymptotes of the graph of the function. (Enter your answers as a…

A: Given function is f(x)=4-3x4+7xWe know that the horizontal asymptote is determined by the limit as x…

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Q: COSX - dx sin²x-5sinx-6

A: The integral is given by I = ∫cosxsin2x-5sinx-6dx                             ...........1

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A: Given: x=4y-y2 ; y=x   Now find the point of the intersection between the given curve and line.…

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Q: 3 dx x² +4x+29

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Q: For what Valuer of the Constant(k that the function fayt=x"+kxy+y will have a- Saddte Point b-local…

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Q: 2) Evaluate the following line integral: . 0+z)dx + (x + z)dy + (x + y)dz where C consists of the…

A: C1: (0,0,0) to (1, 0, 1)x-01-0=y-00-0=z-01-0=tx=t, y=0, z=tdx=dt, dy=0, dz=dtI1=∫01[(0+t)+(t+0)]…

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A: Explained below

Q: 29. Prove the following derivatives by using the definition of derivative. (a) (") = n. dx nxn-1

A: topic - derivative and limits