Do you notice anything surprising? Cân you make a conjecture? (c) Now use the derivative and the appropriate linear approrimation to analyse the questions from parts (a) and (b) in general. You can work with your montly fixed distance, but do not assume any specific gas mileage. Ther check the accuracy of your approrimations from parts (a) and (b). Does you work here confirm your conjecture? Be sure to state specific conclusions. In particular, can you say anything about how the relative change in the numbe: of gallons of gas you use each month is related to a small relative change ir jour average gas mileage. Do not use differentials for the linear approximations. Use the notation
Do you notice anything surprising? Cân you make a conjecture? (c) Now use the derivative and the appropriate linear approrimation to analyse the questions from parts (a) and (b) in general. You can work with your montly fixed distance, but do not assume any specific gas mileage. Ther check the accuracy of your approrimations from parts (a) and (b). Does you work here confirm your conjecture? Be sure to state specific conclusions. In particular, can you say anything about how the relative change in the numbe: of gallons of gas you use each month is related to a small relative change ir jour average gas mileage. Do not use differentials for the linear approximations. Use the notation
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
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