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1. For the function y = 5x³ - 4x a. Determine the average rate of change between x₁ = 3 and x₂ = 5. b. Determine the instantaneous rate of change at x = 5. Use the Difference Quotient Formula. 2. Evaluate each limit, if it exists: a)lim x-2 X-2 b)lim x²-4x x-0 x(x-1) c) lim

1. For the function y = 5x³ - 4x a. Determine the average rate of change between x₁ = 3 and x₂ = 5. b. Determine the instantaneous rate of change at x = 5. Use the Difference Quotient Formula. 2. Evaluate each limit, if it exists: a)lim x-2 X-2 b)lim x²-4x x-0 x(x-1) c) lim

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. For the function y = 5x³ - 4x a. Determine the average rate of change between x₁ = 3 and x₂ = 5. b. Determine the instantaneous rate of change at x = 5. Use the Difference Quotient Formula. 2. Evaluate each limit, if it exists: x²-4 x-2 X-2 b)lim 1x² a)lim x²-4x x-0 x(x-1) c) lim:
Transcribed Image Text:1. For the function y = 5x³ - 4x a. Determine the average rate of change between x₁ = 3 and x₂ = 5. b. Determine the instantaneous rate of change at x = 5. Use the Difference Quotient Formula. 2. Evaluate each limit, if it exists: x²-4 x-2 X-2 b)lim 1x² a)lim x²-4x x-0 x(x-1) c) lim:
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