Suppose that the radius r and surface area S = 4r 2 of a sphere are differentiable
Question:
Suppose that the radius r and surface area S = 4πr2 of a sphere are differentiable functions of t. Write an equation that relates dS/dt to dr/dt.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 33% (6 reviews)
use the chain rule to relate the derivatives of S and r with respect to t ...View the full answer
Answered By
Saleem Abbas
Have worked in academic writing for an a years as my part-time job.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Question Posted:
Students also viewed these Mathematics questions
-
Suppose that the radius r and area A = r 2 of a circle are differentiable functions of t. Write an equation that relates dA/dt to dr/dt.
-
An outdoor decorative pond in the shape of a hemispherical tank is to be lled with water pumped into the tank through an inlet in its bottom. Suppose that the radius ofthe tank is R = 10 ft,...
-
On average, which group of borrowers would have to pay a higher effective rate for its short-term loans, those who are required to put up collateral or those who are not? Explain.
-
Many companies use sampling to determine whether a batch should be accepted. An (n, c) sampling plan consists of inspecting n randomly chosen items from a batch and accepting the batch if c or fewer...
-
The following quote was taken from The Wall Street Journal (December 14, 1992): How an audit can misfire is illustrated by the way Deloitte & Touche, the auditors ofLaribee Manufacturing Co., failed...
-
What changes for other aspects of the organisation such as its culture and structure?
-
Consider the Costello Music Company scenario presented in Problem 20 and the following quarterly sales data: a. Compute the seasonal indexes for the four quarters. b. When does Costello Music...
-
$3,000 O $5,000 Mark for follow up Question 4 of 75. How is the MACRS deduction calculated in the year of disposition for an asset that for the year is: O Multiplied by 50% Divided by 50% Multiplied...
-
For the following, look at the market for avocados. Diagram the market and assess the impact of any change on the market clearing price and quantity and diagram the impact upon well-being (Consumer...
-
Find the derivatives of the function y = 3 - 0.7x 3 + 0.3x 7
-
What role does the derivative play in defining slopes, tangents, and rates of change?
-
A business publication recently released a study on the total number of years of experience in industry among CEOs. The mean is provided in the article, but not the standard deviation. Is the...
-
use z scores to compare the given values. Pulse Rates Based on Data Set 1 "Body Data" in Appendix B, males have pulse rates with a mean of 69.6 and a standard deviation of 11.3; females have pulse...
-
(All answers were generated using 1,000 trials and native Excel functionality.) At a local university, the Student Commission on Programming and Entertainment (SCOPE) is preparing to host its first...
-
50 45 40 35 30 25 20 15 10 5 Graph 1 Percent of observers that reported seeing individual consumers exhibit the behavior under consideration Calmness Courteousness Happiness Anxiety Excitement...
-
ProForm acquired 60 percent of ClipRite on June 30, 2020, for $1,140,000 in cash. Based on ClipRite's acquisition-date fair value, an unrecorded intangible of $400,000 was recognized and is being...
-
Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed lemon/crash data, where lemon imports are in metric tons and the fatality rates are per...
-
The A-36 steel tubular shaft is 2 m long and has an outer diameter of 50 mm. When it is rotating at 40 rad/s, it transmits 25 kW of power from the motor M to the pump P. Determine the smallest...
-
Quality Chicken grows and processes chickens. Each chicken is disassembled into five main parts. Information pertaining to production in July 2012 is: Joint cost of production in July 2012 was $50. A...
-
Differentiate the function. B(y) = cy -6
-
Find the local and absolute extreme values of the function on the given interval. f(x) = xe, [-1, 3]
-
Calculate y'. y = x 2 - x + 2/x
-
Choose two stocks from the same industry to minimize the influence of other confounding factors. You choose the industry that you are relatively more familiar with, and then estimate the implied...
-
why should Undertake research to review reasons for previous profit or loss?
-
A pension fund's liabilities has a PV01 of $200 million. The plan has $100 billion of assets with a weighted average modified duration of 8. The highest duration bond that the plan can invest in has...
Study smarter with the SolutionInn App