Evaluate the integral -2x + 4 dx J (x² + 1)(x – 1)

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A: Given, f(x)= 2cos(2x) For, x=0=> y= 2cos(0)= 2  => y-intercept= (0,2) For, y=0=> 2cos(2x)=0…

Q: FIND THE GIVEN DIFFERENTIAL EQUATION Homogeneous Equation (x + y - 3) dx + C x -y + 1) dy • 0

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A: The marginal cost function is given by,   C'x=x12+5

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Q: SOLVE THE EQUATION. SHOW YOUR COMPLETE ANDCLEAN SOLUTION. (x – 2y + 5) dx - [2 (x – 2y) + 9] dy = 0…

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Q: Find the slope of the tangent line to the curve - l2? – 2æy – 2y³ = 19 at the point (3, - 2).

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Q: Evaluate the integral (Trigonometric Substitution) |(a?x* – x®)&dx 6. x³)Zdx

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Q: 10. Given i [10,4] and [12, – 13], find the projection of i on

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Q: Convert the following parametric curve into Cartesian form: z = 4 sin t, y = 5 sint O None of these.…

A: To convert the parametric equation into Cartesian equation.

Q: valuate. (Be sure to check by differentiating!) 1 dx, x - 3+7x 3/7

A: Given query is to find the value of the integral.

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Q: PART 1. Complete the table Tre Lf (x) f (x) f'(x) f'(x)dx (2) (1) f(x) = 3x* – 5x³+ 6x2 - r + 7 (1)…

A: The given function is  f(x)=3x4-5x3+6x2-x+7.

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Q: .4 dx (x² + 9)2

A: To evaluate the following integral.∫x4 dxx2+92

Q: Find the arc length of the graph of r(t) = ev2ti +ev2tj+ 2tk, 0 <t < v2 ln 4 NOTE: Enter the exact…

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A: Given query is to find the derivative of the expression.

Q: Find the missing value for the radioactive isotope. (Round your answer to two decimal places.)…

A: Formulae of the half-life of radioactive decay is given by: where

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Q: 7) y=-4x 8) y=7 9) y=x

A: We have to differentiate

Q: 3 a. f(x) = V3x³ – 2 - b. y = (vx + 1)(x² – x) 2x5-3 c. f (x) coS x

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Q: Find the general indefinite integral. (Use C for the constant of integration.) | (x2 + 2x - 3) dx…

A: The objective of the question is evaluate the indefinite and definite integral.

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Q: Find the indefinite integral and check the result by differentiation. COS X dx 1- cos?x

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Q: Example 9 Video Example4) Evaluate the integral. In(x) dx Solution dx occurs in the integral. When x…

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Q: Evaluate the integral (2х — 8)dx х2 — 6х + 18

A: We know that integration power rule is - Integration of xn is xn+1/n+1+ C  Here C is integration…

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Q: Consider the points below. P(3, 0, 3), Q(-2, 1, 4), R(6, 2, 5) (a) Find a nonzero vector orthogonal…

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Q: 3. Write each quadrant bearing as an equivalent true bearing. a. S12°W b. N50°W

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: (a) dz (2z4 + 1)3

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Q: Find all the values of x such that the given series would converge. (x – 3)" | 3" n=1

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Q: Question A4 Let the curve C: f (x) = x³ + 6x² – 15x + 8. Find the value(s) of m for which the line y…

A: Given problem:- Let the curve C: f(x)=x3 +6x2 -15x+8. Find the value(s) of m for which the line y =…