Use long division to divide and use the result to factor the dividend completely. (5x2- 3x-14) (x- 2)

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A: Explained below

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A: Here we can solve the integration as below

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Q: ly Find tue indefinive intgrel by making ful frebstitution x = 4sin O. de (16-x²) %

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A: We have to find maximum profit so we find first derivative

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

A: We have to find the volume generated by rotation the curve about y axis.

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

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Q: -6 -5 4 The plot above is created with the parametric equations S¤(t) = a cos(bt) y(t) = c sin(dt) T...

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Q: 12 + csc 0 [sin 0 + csc 0]d0

A: Given I=∫12+cscθ(sinθ+cscθdθ To evaluate the integral I

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Q: 1 1 9. dx I (# – 1)(x² + 4x + 5) In |x – 1|+ 10 In a? + 4x + 5| - 20 13 arctan(x + 2) +c 10

A: First we use partial fraction decomposition and then evaluate the integral.

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Q: SHOW YOUR SOLUTIONS. I. Eliminate the arbitrary constants. 5. (x – a)² + y² = a²

A: Given :   (x-a)2+y2=a2

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Q: (2) elnx = x (1) sin-1x = V1-x2 (1) ax A- Show that : cos x (2) lim x- cosx (2) (1) limx-0 В- Find :

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Q: find the second derivative of y = x In x A 1/x в) 1/2х D) 2x

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Q: If f(x) = tan (3æ), then f'(x) = (A) 12 tan (3x) sec2(3x) (B) 4 tan (3x) sec (3x) (C) 12 tan (3x) (D...

A: Solved below

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Q: lim, s0¤(t) = 1? Оа. "+а — 0, z(1) — 2. 0, г(1) — 2. ОБ. — - 0, 2 (2) — 1. Ос. - 2г — — 0. 0, æ(1) 0...

A: To determine which of the following initial value problems has a solution xt.limt→∞xt=1a x'+x=0, x1=...

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A: Topic:- integration and trigonometry

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Q: Given cost and price (demand) functions C(q) = 100g + 42,000 and p(g) = - 2.1g + 870, what is the ma...

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Q: Given Cost and Revenue functions C(q) = q° - 11q +51q + 5000 and R(q) = - 3q +2400q, what is the min...

A: Given query is to find minimum marginal cost.

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