Let s(t) = t a. Find the average rate of change of s (t) with respect to

Question:

Let s(t) = √t

a. Find the average rate of change of s (t) with respect to t as t changes from t = 1 to t = 1/4.

b. Use calculus to find the instantaneous rate of change of s(t) at t = 1, and compare with the average rate found in part (a).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

See More Books

Question Posted: Jun 19, 2023 04:20 AM

See More Questions

Determine the angle between the diagonal of a cube and its edge, as shown in the figure. a a a
A vertical plate is submerged (or partially submerged) in water and has the indicated shape. Explain how to approximate the hydrostatic force against one side of the plate by a Riemann sum. Then...
The figure shows the percent of the U.S. population with diabetes (diagnosed and undiagnosed) for selected years from 2010 and projections to 2050. Assume this percent can be modeled by y = 6.97(0.5x...
In a recombinant protein expression process the host microorganism, Pichia pastoris needs to be separated from the culture supernatant after production. A pilot scale bioreactor with a working volume...
Audit standards distinguish auditors responsibility for planning procedures for detecting noncompliance with laws and regulations having a direct effect on financial statements versus planning...
Atlantic Energy Company's balance sheet includes the asset Iron Ore. Atlantic Energy paid $2.6 million cash for a lease giving the firm the right to work a mine that contained an estimated 200,000...
Priscilla Webster was dining at her favorite Massachusetts seafood restaurant when matters went horribly wrong. She began choking on a fishbone that had been lurking in her seafood chowder. After a...
Fred Moss, owner of Moss Interiors, is negotiating for the purchase of Zweifel Galleries. The balance sheet of Zweifel is given in an abbreviated form below. Moss and Zweifel agree that: 1. Land is...
Maya purchased a boat for $18,340. Its value depreciated by 15% in the first year she owned it. What was her boat worth at the end of this first year?
In Exercises 41 through 46, find the rate of change of the given function f (x) with respect to x for the prescribed value x = c. f(x) = 2x 4 + 3x + 1; x = 1
At a certain factory, the daily output is Q(L) = 20,000L 1/2 units, where L denotes the size of the labor force measured in worker-hours. Currently 900 worker-hours of labor are used each day. Use...
An instant lottery ticket consists of a collection of boxes covered with gray wax. For a subset of the boxes, the gray wax hides a special mark. If a player scratches off the correct number of the...
What do organizations use utilization reviews for?
Divide. (15x-18x-9x4-4+11x)+(-3x-4) Write your answer in the following form: Quotient + Remainder 2 -3x-4 15x-18x-9x4-4+11x [ + -3x-4 2 -3.x - 4 X
According to the fundamental theorem of algebra, how many zeros does the polynomial below have? f(x) = x+5x+10x+20x+24 Answer:
Patents and copyrights are usually shown in which section of the financial statements?
Discuss 3 ways workplace bullying impacts the healthcare organization. Discuss 3 employment-related legislation that you feel are important and explain why. Describe the difference between a Needs...
How can structural models be used by bond portfolio managers?
The maximum pressure that can be developed for a certain fluid power cylinder is 15.0 MPa. Compute the required diameter for the piston if the cylinder must exert a force of 30 kN.
Use Newtons method to find a solution for each equation in the given intervals. Find all solutions to the nearest hundredth. 1n x + x - 2 = 0; [1, 4]
Find the present value of each ordinary annuity. Payments of $5000 are made annually for 11 years at 6% compounded annually.
For each sequence that is geometric, find r and a n . 4, 16, 64, 256,...
Adherence to and development of the Common Law is the cornerstone of the American legal system. Briefly explain how the common law developed over time, how the common law canon (a legal canon is a...
What are the ecological and evolutionary trade-offs associated with mutualistic partnerships, and how do these trade-offs influence the stability and persistence of mutualisms in changing...
What is the net income based on the information below. Cash $831 Equipment $150 Accounts payable $41 Salaries and wages expense $80 Travel expense $33 Service revenue $312 Common stock Retained...

Let s(t) = t a. Find the average rate of change of s (t) with respect to

Question:

Step by Step Answer:

a b The answer in part a ...View the full answer

Calculus For Business, Economics And The Social And Life Sciences

Students also viewed these Mathematics questions