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

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A: Part 1,Given,           limx,y→2,24-x-yx+y-2

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A: Given functions:- fx,y=3sin7xy gx,y,z=121-x2-y2-z2

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Q: t the correct answer below: ower series ot a power series n=0

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Q: Suppose that f'(x) = 2x for all x. a) Find f(4) if f(0) = 0. b) Find f(4) if f(2)= -1. c) Find f(4)…

A: Given f'( x ) = 2x

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Q: A curve is given S₁73 dx = ...? xy parametrically by = 3t + 1, y = 4t².

A: Given,            A curve is given parametrically by x=3t+1 , y=4t2.To find : ∫47xyt3dx

Q: Basic rules (sum, product, quotient, power) DO NOT USE THE DEFINITION anymore. Use the shortcuts.…

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Q: 1/2 S." 2 2 cos ¹(x) dx

A: ∫udv=uv-∫vdu∫0122cos-1xdx=2∫012cos-1xdx

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Q: Inverse laplace 7/(s^2+7s+16)

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Q: 7. The distance in feet a ball has rolled after t seconds is given by the function f(t) = √t (a)…

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Q: Please show more steps to how you got the standard equation. Shouldn't it be 51/5 and 85/3

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Q: Given the following vectors, calculate 5u + 3v. |(7, 0), v = (-8, 10)

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Q: Find the general solution of (y^2 – xy)dx + x^2dy = 0.

A: Given differential equation (y2–xy)dx+x2dy=0(y2–xy)dx = -x2dydydx = (y2–xy)-x2dydx = ( xy - y2 )x2

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Q: In the year 2000, the population of a small city was 50,000. The population grows at a rate of r(t)…

A: given rate is  r(t)=1200e0.04let t=0 denotes the year  2000for 2020, t=2020-2000=20

Q: Convert the point (r, 0, 2) = (1, 3, 5) to Cartesian coordinates. Give answers either as…

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Q: Find the center, foci, vertices and asymptotes of the hyperbola. (y-3)^2/ 25 - (x+1)^2 =1

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Q: The marginal cost for a company to produce g items is given by MC(q) = 0.005q^2 - 0.7q+ 620. The…

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Q: If f(x) = ex- 1,0 ≤ x ≤ 2, find the Riemann sum with n = 4 correct to six decimal places, taking the…

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Q: Calculate the arc length of y = ln(cos x), 0≤x≤ π/4.

A: NOTE: Refresh your page if you can't see any equations. . the given function is and the given…

Q: Find the area of the region enclosed between f(x)=x²-x+ 10 and g(x) = 2x²-3x+1 Area =

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Q: Find all critical numbers by hand. 2-44 x+7 and

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Q: Find the smallest perimeter and the dimensions for a rectangle with an area of 4 in ²2. The smallest…

A: let the dimensions are length = y breadth = x Given area ( A ) = 4

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.