ate the integral. Prox f(x) dx where f(x) = 2 if -2 ≤ x ≤ 0 {²₁ - x² 14-x² if 0

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Q: Find the slope of the line tangent to the following polar curves at the given points.

A: According to question,Given Polar curve,r2 = 4 cos 2θ

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A: NOTE: Refresh your page if you can't see any equations. . L0=Natural length of the spring…

Q: The number of welfare cases in a city of population p is expected to be W = 0.006p4/3.  If the…

A: W = 0.006p4/3.

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A: According to question,Given Function,ft = -23 cos π6t+65

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Q: 8. An application to mecanics A particule x(t) of mass 1kg is moving along an horizontal straight…

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A: To determine the limits which is equivalent to the following definite integral.∫03ex dx

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Q: Question 23 Find the area between the curve f(x) = x^2+15 and the x-axis from x = 2 to x = 6. the…

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A: Convert the following equation to Cartesian coordiantes and describe the curve…

Q: Find all the antiderivatives of the function f(x) = -6.

A: ∫xndx=xn+1n+1+cgiven  f(x)=-6

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Q: f f(x) = V x + 1 , for x 2 -1, then for y 2 -1, fy2 + 2 y ) y + V2x+ 1 ) 1 - وكاد 1 ) V2x+y2

A: f(x)=x+1for f(y2+2y)  put x=y2+2y in f(x)

Q: Which shows the angle 135° in standard position? O A. O B. 0 с. Ї Which shows the angle an in…

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Q: use partial fraction decomposition to compute ∫ 1/((x-1)(x^2+1))

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Q: The Maclaurin series for sinx can be written as ...? a) Oa) O b) Oc) o d) 18-00 (-1)'+1x2r+1 (2r+1)!…

A: To determine the Maclaurin series for sin x.

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A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

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Q: Consider the following. می شود du = x²(x³ + 1)3/2 dx Let u = x³ + 1. Find du. dx Indicate how the…

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Q: Obtain x²dx by integration.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: The first 4 terms of the Maclaurin series for In(1+3x) is ...? a) 3x - 2x² +9x³ - 81x4 Ob) 1+ 3x -…

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Q: I m 9 = (⁹ε- ¹ 1/2-) ƒ = = (1 ¹4²)

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A: dtndt=ntn-1formula is speed =dsdtaccelaration=d2sdt2

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A: NOTE: Refresh your page if you can't see any equations. .

Q: Starting from an airport, an airplane flies 110 miles northwest and then 110 miles south. How far,…

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Q: Given f(x, y, z) = √4x + 6y + 3z, find fz(x, y, z) = fy(x, y, z) = fz(x, y, z) =

A: The given function fx, y, z=4x+6y+3z. We have to find the values of fxx, y, z, fyx, y, z, fzx, y, z.

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Q: Find the average value of the function f(x) = 3x² on the interval 3 ≤ x ≤ 6

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Q: 15. The point (-) is the terminal side of angle 9 in 5 standard position. Find the exact values of…

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Q: Find the area of the region of r= √2 + sin(theta) and r= 3sin(theta)

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A: Given is to find the rate of change of area