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1. Find the value of a and b that make f continuous everywhere x² –4 x-2 x < 2 f(x) = ax? – bx + 3 2 3 2. Prove that the equation 2" – x = 1+4/x has a solution greater than 0. 3. Determine the slope of the tangent line to the curve f(x) at (2x + 1)2 x = 1 by using the definition of the derivative. 4. The demand function for certain products is given as p= -0.04x + 500(0

1. Find the value of a and b that make f continuous everywhere x² –4 x-2 x < 2 f(x) = ax? – bx + 3 2 3 2. Prove that the equation 2" – x = 1+4/x has a solution greater than 0. 3. Determine the slope of the tangent line to the curve f(x) at (2x + 1)2 x = 1 by using the definition of the derivative. 4. The demand function for certain products is given as p= -0.04x + 500(0

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1. Find the value of a and b that make f continuous everywhere 2²-4 x < 2 T-2 f(x) = { ax? – bæ +3 2<x < 3 x > 3 2x — а + b 2. Prove that the equation 2" - x = 1+4/x has a solution greater than 0. 3. Determine the slope of the tangent line to the curve f(x) at (2x + 1)2 x = 1 by using the definition of the derivative. 4. The demand function for certain products is given as p = -0.04.x + 500(0 < x < 5,000) where p denotes the unit price in dollars and x is the quantity demanded. Find the marginal revenue function. Calculate R'(2000) and interpret your results.
Transcribed Image Text:1. Find the value of a and b that make f continuous everywhere 2²-4 x < 2 T-2 f(x) = { ax? – bæ +3 2<x < 3 x > 3 2x — а + b 2. Prove that the equation 2" - x = 1+4/x has a solution greater than 0. 3. Determine the slope of the tangent line to the curve f(x) at (2x + 1)2 x = 1 by using the definition of the derivative. 4. The demand function for certain products is given as p = -0.04.x + 500(0 < x < 5,000) where p denotes the unit price in dollars and x is the quantity demanded. Find the marginal revenue function. Calculate R'(2000) and interpret your results.
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