1. For the given functions, state the range and find (f-¹)(a) using th ate formula for the derivative of the inverse function. Do not fir (a) f(x) = x³ at a = 8 (c) f(x) = 9 - x² for 0

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Q: 1. Explain in your own words the meaning of each of the following. (a) lim f(x)-5 (b) lim f(x)=3

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Q: (a) y = f(x) NA X lim_ [f(x) + g(x)] X→2 1 4240 (b) lim [f(x) - g(x)] X-0 (c) lim [f(x)g(x)] X→-1…

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Q: Consider the function f(x) where. 2x²-x +3. if x>2 jf x=2 if x<a f(x) = 4 4-X Is the function…

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Q: In Exercises 13-16, use the following information to deter- mine the limit of the given sequences.…

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Q: 2. Use the given graph of y = f(x) to sketch the graph of its derivative f'(x). -5-4 -3 -2 -1 20 16…

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Q: Solve the following system using Gause- Seidal iteration method for n=5 and initial values XO 4x1 +…

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Q: (a) Find the slope of the curve y=x³-7x at the given point P(1,-6) by finding the limiting value of…

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Q: Solve the inequality R(x) ≤0, where R(x) = the graph of the function. 8- 4x-4 -, by using 2x-4' The…

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Q: Show algebraically that lim 818 2 x² - 2 - x = 0.

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Q: Solve the given differential equation (4x +y-1) dx + (x-y-4) dy = 0 O (x + 1)² - 4(x + 1)(y-5) -2(y-…

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Q: Find an equation of the plane. The plane through the points  (3, −1, 2), (7, 3, 5), and (−2, −2, −3

A: Find an equation of the plane. The plane through the points  (3, −1, 2), (7, 3, 5), and (−2, −2, −3)

Q: 7 P ( 7 2 + b ) (F - ₂7 ) {

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Q: Question d Siven r(t) = 5t¹i — 5 cos (t)j + eſtk, find — [7t³ - r (t)]. dt Provide your answer…

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Q: Problem 2.2: Find the GS of x dy dx - y = y³ sin(22x)

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Q: 3 - x answer the following questions: Given the function f(x) = 3x a) Calculate the slope of the…

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Q: Differentiate the function. z(y) = y14 + Be

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