Use Newton's method to approximate all the intersection points of the following pair of curves. Some preliminary graphing or analysis may help in choosing good initial approximations. y%3D and y= 9-4x The graphs intersect when x RS (Do not round until the final answer. Then round to six decimal places as needed. Use a comma to separate answers as needed.)

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Q: Calculus Question

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Q: Use Exercise 55 to compute tan π/8 .

A: To compute tan π/8 

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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: