2. Graphing using your results to question 1: a. Write the equation for the secant line over the interval [2,3]. b. Write the equation for the tangent line at t = 2. c. Graph the original function, the secant line, and the tangent line in Desmos (and attach to your assignment). 3 Consider the function f(x) = (r - 1)1/3
2. Graphing using your results to question 1: a. Write the equation for the secant line over the interval [2,3]. b. Write the equation for the tangent line at t = 2. c. Graph the original function, the secant line, and the tangent line in Desmos (and attach to your assignment). 3 Consider the function f(x) = (r - 1)1/3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
I need help on number 2 and 3
![4:54
Math 251
canvas.pdx.edu
Name,
Written Problems for Sections 2.1
• Make sure to show all work/steps.
Turn in best quality (not rough draft copy). That may require you to rewrite your work after
your first attempt.
Any time a question asks you to graph a function: Desmos you should include that graph in
your solutions.
1. Consider the function f given by
f(x) = 2x²-3x + 6.
*Make a table to show the following.
a. Determine the average rate of change on the interval [2,3].
b. Determine the average rate of change on the interval [2, 2.1].
c. Determine the average rate of change on the interval [2, 2.01].
d. Determine the average rate of change on the interval [2, 2.001].
e. Use your results
o make a guess about the instantaneous rate of change at x = 2.
2. Graphing using your results to question 1:
a. Write the equation for the secant line over the interval [2,3].
b. Write the equation for the tangent line at t = 2.
c. Graph the original function, the secant line, and the tangent line in Desmos (and attach to
your assignment).
3. Consider the function f(x) = (x - 1)¹/3.
a. Compute the slope of the secant lines between (1,0) and (x, f(x)) at x = 0.5, 0.9,0.99,
and 0.9999.
◄ Previous
80
b. Compute the slope of the secant lines between (1,0) and (x, f(x)) at x = 1.5, 1.1, 1.01, and
1.0001.
c. What do the secant lines suggest happens to the tangent line at x = 1?
Written Problems for Section 2.1-1.pdf
+
3
Next ►](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1402ae89-ddd6-4d3d-be54-d5c5eea3ccbf%2Fd5672f9a-4fcb-4d43-9eb6-ee0ea542ffe2%2Fcawxu7i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4:54
Math 251
canvas.pdx.edu
Name,
Written Problems for Sections 2.1
• Make sure to show all work/steps.
Turn in best quality (not rough draft copy). That may require you to rewrite your work after
your first attempt.
Any time a question asks you to graph a function: Desmos you should include that graph in
your solutions.
1. Consider the function f given by
f(x) = 2x²-3x + 6.
*Make a table to show the following.
a. Determine the average rate of change on the interval [2,3].
b. Determine the average rate of change on the interval [2, 2.1].
c. Determine the average rate of change on the interval [2, 2.01].
d. Determine the average rate of change on the interval [2, 2.001].
e. Use your results
o make a guess about the instantaneous rate of change at x = 2.
2. Graphing using your results to question 1:
a. Write the equation for the secant line over the interval [2,3].
b. Write the equation for the tangent line at t = 2.
c. Graph the original function, the secant line, and the tangent line in Desmos (and attach to
your assignment).
3. Consider the function f(x) = (x - 1)¹/3.
a. Compute the slope of the secant lines between (1,0) and (x, f(x)) at x = 0.5, 0.9,0.99,
and 0.9999.
◄ Previous
80
b. Compute the slope of the secant lines between (1,0) and (x, f(x)) at x = 1.5, 1.1, 1.01, and
1.0001.
c. What do the secant lines suggest happens to the tangent line at x = 1?
Written Problems for Section 2.1-1.pdf
+
3
Next ►
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