You will find the equation of an exponential function through two points in two different ways. a. Find the exponential function of the form y=ae^kx that goes through the points (0, 4) and (2, 9). Show all your steps and use four decimal places. Write a complete answer. b. Use your graphing calculator to enter your exponential function into Y1 and construct an input/output table for inputs of x = -2, -1, 0, 1, 2. c. Extend the table by entering ln(y1) into Y2. Provide a printout of this extended table. Label the columns x, y, and ln(y

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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You will find the equation of an exponential function through two points in two different ways.
a. Find the exponential function of the form y=ae^kx that goes through the points (0, 4) and (2, 9). Show all your steps and use four decimal places. Write a complete answer.


b. Use your graphing calculator to enter your exponential function into Y1 and construct an input/output table for inputs of x = -2, -1, 0, 1, 2.


c. Extend the table by entering ln(y1) into Y2. Provide a printout of this extended table. Label the columns x, y, and ln(y).

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