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1. Use limit definition to find f'(2) for the function, f(x) = 3x² - 4x + 1. Show detailed work for credit. 2. A coffee shop determines that the daily profit on scones obtained by charging s dollars per scone is P(s) = -20s² +150s-10. The coffee shop currently charges $3.25 per scone. Find P'(3.25), the rate of change of profit when the price is $3.25, and decide whether or not the coffee shop should consider raising or lowering its prices on scones.

1. Use limit definition to find f'(2) for the function, f(x) = 3x² - 4x + 1. Show detailed work for credit. 2. A coffee shop determines that the daily profit on scones obtained by charging s dollars per scone is P(s) = -20s² +150s-10. The coffee shop currently charges $3.25 per scone. Find P'(3.25), the rate of change of profit when the price is $3.25, and decide whether or not the coffee shop should consider raising or lowering its prices on scones.

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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Q1&Q2 As these are very easy questions so solve both questions in the order to get positive feedback Please solve both questions correctly in 30 minutes and get the thumbs up please show neat and clean work for it By hand solution needed
1. Use limit definition to find f'(2) for the function, f(x) = 3x² - 4x + 1. Show detailed work for credit. 2. A coffee shop determines that the daily profit on scones obtained by charging s dollars per scone is P(s) = -20s² +150s-10. The coffee shop currently charges $3.25 per scone. Find P'(3.25), the rate of change of profit when the price is $3.25, and decide whether or not the coffee shop should consider raising or lowering its prices on scones.
Transcribed Image Text:1. Use limit definition to find f'(2) for the function, f(x) = 3x² - 4x + 1. Show detailed work for credit. 2. A coffee shop determines that the daily profit on scones obtained by charging s dollars per scone is P(s) = -20s² +150s-10. The coffee shop currently charges $3.25 per scone. Find P'(3.25), the rate of change of profit when the price is $3.25, and decide whether or not the coffee shop should consider raising or lowering its prices on scones.
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