A portion of the graph of g(x) 4x is shown above. x+1 3. a) Find the average rate of change of g on the interval [1,3]. Show this on the graph by sketching a secant line. b) Find the value of c guaranteed by the MVT for this interval. You may use a calculator on the final step to approximate the value to 3 decimal places. Show that your solution is correct by sketching a tangent line on the graph.

A portion of the graph of g(x) 4x is shown above. x+1 3. a) Find the average rate of change of g on the interval [1,3]. Show this on the graph by sketching a secant line. b) Find the value of c guaranteed by the MVT for this interval. You may use a calculator on the final step to approximate the value to 3 decimal places. Show that your solution is correct by sketching a tangent line on the graph.

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

4-
2-
4х
A portion of the graph of g(x)
is shown above.
x+1
3.
a)
Find the average rate of change of g on the interval [1,3]. Show this on the graph by sketching a secant
line.
Find the value of c guaranteed by the MVT for this interval. You may use a calculator on the final step to
approximate the value to 3 decimal places. Show that your solution is correct by sketching a tangent line
on the graph.
b)

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