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.

Q: Take k to be a positive real number. Suppose that u is the solution to the diffusion equation Ut =…

A:

Q: 7. Find the average rate of change for the function f(x) = 24x' - 36x - 528x – 1260 over-25x54.

A:

Q: Suppose you know that the point (2, 3) lies on the function h. The average rate of change on the…

A:

Q: With the given graph, estimate the instantaneous rate of change at x= -1 and show the steps. Next,…

A:

Q: The graph of a function is shown. a) Find the average rate of change of f(x) on the interval…

A:

Q: 3) Using the same graph of the function below, estimate the instantaneous rate of change of the…

A:

Q: The general combinatorial formula for the nth triangular number (1, 3, 6, 10, 15, 21, .) is On+1Cn…

A:

Q: ¹) If a rock is thrown upward on the planet Mars with a velocity of 10m/s, its height in meters…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: help ASAP

A:

Q: Given f(x) = 4x3 − 3x a. Find the difference quotient. b. Find the average rate of change on the…

A: (a)Find the different quotient for the given function as follows.

Q: The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x…

A:

Q: Find the rate of change of f (x) = x° at x = 2. %3D

A: Rate of change.

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.