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...
-
How do consumers use social networking sites when searching?
-
During the inspection of a rejected integrated circuit (IC), it was observed that the rejected IC could have an incorrect circuit, it could be bent, or it could have both defects. The probability of...
-
The following summary data are for Gwynn Company: All current assets and current liabilities relate to operations. Instructions: 1. Compute net cash provided by (used in) operating activities for...
-
Michael s company uses a single predetermined overhead rate using direct labor hours as the allocation base ( driver ) . a ) Calculate the Predetermined Overhead Rate given the following information:...
-
The following condensed balance sheet is for the partnership of Gulian, Singh, and Zahiri, who share profits and losses in the ratio of 4:3:3, respectively: The partners decide to liquidate the...
-
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?
-
How is cash received in person independently verified?
-
A car airbag contains the compound NaN3. When the car decelerates quickly, heat from an electric current causes the NaN3 to decompose into sodium metal and nitrogen gas. If 56 g of nitrogen gas is...
-
You measure a watch's hour and minute hands to be 8.15 mm and 11.1 mm long, respectively. In one day, by how much does the distance traveled by the tip of the minute hand exceed the distance traveled...
-
Jennifer, who has a mass of 50.0 kg, is riding at 35.0 m/s in her red sports car when she must suddenly slam on the brakes to avoid hitting a deer crossing the road. She strikes the air bag, that...
-
A restrict voting rights provision is usef to: A ) prevent current shareholders from voting in special board elections B ) giveshareholders of a target firm the right to buy shares in a company at a...
-
Starting from your campsite you walk 3 . 0 km east, 3 . 0 km north, 2 . 0 km east, and then 1 . 0 km west. What is your final distance from the campsite?
-
How does the Ultimatum Game work? What does experimental evidence show about the outcome of the Ultimatum game?
-
You continue to work in the corporate office for a nationwide convenience store franchise that operates nearly 10,000 stores. The per- store daily customer count (i.e., the mean number of customers...
-
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
-
Sales Sales discounts Carrier $ 160,000 2,000 Lennox $ 750,000 17,000 Trane York $ 48,000 $ 267,000 600 4,400 Sales returns and allowances 18,000 Cost of goods sold 93,800 6,000 466,007 4,900 1,300...
-
Normalize the Following Table upto Fourth Normal Form a database question Here, OID = Order ID, O_Date= Order Date, CID = Customer ID, C_Name = Customer Name, C_State = Customer's State, PID =...
-
Project Title: Exploring Business Ethics and CSR in Action I. Introduction A. Background In this project, we delve into the realm of Business Ethics and Corporate Social Responsibility (CSR) by...
Study smarter with the SolutionInn App