The area of a circle as a function of radius is A(r) = r2, with area measured in cm2 and radius measured in centimeters. Find

Answered step by step

Verified Expert Solution

Question

38 users unlocked this solution today!

The area of a circle as a function of radius is A(r) = πr2, with area measured in cm2 and radius measured in centimeters. Find the derivative of area with respect to radius. On a geometric diagram, illustrate the area corresponding to ΔA = A(r + Δr) - A(r). What is a geometric interpretation of the derivative? Do the units make sense?
Find the derivatives of the above functions.

Step by Step Solution

★★★★★

3.25 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Link Copied!

Step: 1

Ar 2r The units are centimeter... View full answer

blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

100% Satisfaction Guaranteed-or Get a Refund!

Step: 2Unlock detailed examples and clear explanations to master concepts

blur-text-image_2

Step: 3Unlock to practice, ask and learn with real-world examples

blur-text-image_3

Document Format ( 1 attachment)

808-C-L-D (1063).docx

120 KBs Word File

Claim Your Hoodie Now!

Recommended Textbook for

Modeling the Dynamics of Life Calculus and Probability for Life Scientists

Modeling the Dynamics of Life Calculus and Probability for Life Scientists

Authors: Frederick R. Adler

3rd edition

840064187, 978-1285225975, 128522597X, 978-0840064189

More Books

flashcard-anime

Study Smart with AI Flashcards

Access a vast library of flashcards, create your own, and experience a game-changing transformation in how you learn and retain knowledge

Explore Flashcards

Students Have Also Explored These Related Calculus Questions!

Q:

1. Write the area A of a square as a function of its perimeter P? 2. Write the area A of a circle as a function of its circumference C?

Answered: 3 weeks ago

Q:

The area of a circle varies directly as the square of the length of a diameter. What is the variation constant?

Answered: 3 weeks ago

Q:

Use the fact that the area of a circle of radius r is r2 to find the volume of a cone of height 1 that has radius r at a height r. Think of the cone as being built of a stack of little circular disks...

Answered: 3 weeks ago

Q:

Given the project network that follows, compute the early, late, and slack times for the project. Be sure to show the early finish and late start times on yournetwork. 20 15 25 10 10 Slack IS B

Answered: 3 weeks ago

Q:

Michaels Manufacturing Inc. manufactures a single product and uses a standard cost system. The factory overhead is applied on the basis of direct labor hours. A condensed version of the company's...

Answered: 3 weeks ago

Q:

If new government regulations require firms to use a cleaner technology that is also less efficient than what they previously used, what would the effect be on output, the price level, and employment...

Answered: 3 weeks ago

Q:

understand the restrictions of top-down job redesign approaches;

Answered: 3 weeks ago

Q:

Coca-Cola is a well-established consumer products company with a strong position in the global market. The sales of their core soda products have remained relatively stable for decades, yet the...

Answered: 3 weeks ago

Q:

n 2015, Usher Sports Shop had cash flows from investing activities of $4,404,000 and cash flows from financing activities of $5,900,000. The balance in the firms cash account was $1,619,000 at the...

Answered: 3 weeks ago

Q:

An experiment consists of tossing five balanced dice. Find the following probabilities. a. P(x = 1) b. P(x = 6)

Answered: 3 weeks ago

Q:

A vertical piston/cylinder has a linear spring mounted. The spring is mounted so at zero cylinder volume a balancing pressure inside is 100 kPa. The cylinder contains 0.5 kg of water at 125C,...

Answered: 3 weeks ago

Q:

Everything is about Apple. Identify and describe your organization's main approach for staffing the organization. Identify the CEO and develop a biography of the CEO discussing tenure in the...

Answered: 3 weeks ago

Q:

provide cost estimate of the healthcare information system as received from vendor interactions. A breakdown of the costs (as much as possible) is provided. Estimate is in alignment with the...

Answered: 3 weeks ago

Q:

Shares in the Canadian maker of BlackBerry smart phones peaked in August 2007, at two hundred and thirty six dollars. In retrospect, the company was facing an inflection point and was completely...

Answered: 3 weeks ago

Q:

5. (18 points) Solve the following integrals: (a) (4 points) | [+1 + (1.43) 50 + (r)] +=(1.43) - 50+ sec(x) dr. 2 (b) (4 points) (23 2w-cos(w)+ 3 w2 + 1 ) dw. (c) (5 points) [9t(1 + 1)- dt. (d) (5...

Answered: 3 weeks ago

Q:

a) Give an example of a discrete random variable and report its domain. b) Give an example of a continuous random variable and report its domain. c) How many X values can your random variable example...

Answered: 3 weeks ago

Q:

24. Why is it important to correct astigmatism earlypg105

Answered: 3 weeks ago

Q:

Diamond Walker sells homemade knit scarves for $25 each at local craft shows. Her contribution margin ratio is 60%. Currently, the craft show entrance fees cost Diamond $1,500 per year. The craft...

Answered: 3 weeks ago

Q:

Given that y = (4/5)x, write an equivalent equation in the form y = b-x, with b > 1.

Answered: 3 weeks ago

Q:

Given that y = 2.5-x, write an equivalent equation in the form y = bx, with 0 Answered: 3 weeks ago

Answered: 3 weeks ago

Q:

In Problems 1-2, use a graphing utility to graph the functions. 1. Given f(x) = e-x. Graph y = f (x) and y = f (kx) = e-kx for each k, where k = 0.1, 0.5, 2, and 5. Explain the effect that different...

Answered: 3 weeks ago

Q:

2. Calculate the future value of a savings account of $10,000 for 6 years at 9.25% compound interest. 4. When Brook was born, his parents put down a deposit for him in an investment account earning...

Answered: 3 weeks ago

Q:

Current yield, capital gains yield, and yield to maturity Hooper Printing Inc. has bonds outstanding with 9 years left to maturity. The bonds have an 9% annual coupon rate and were issued 1 year ago...

Answered: 3 weeks ago

Q:

PLS HURRY An investment project has annual cash inflows of $7,000,$6,700,$7,500, and $8,800, and a discount rate of 14%. What is the discounted payback period for these cash flows if the initial cost...

Answered: 3 weeks ago

Previous Question Next Question