A metal disk expands during heating. If its radius increases at the rate of 0.02 inch per
Question:
Step by Step Answer:
A r 2 dr dt 002 d...View the full answer
Related Video
The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.
Students also viewed these Calculus questions
-
The radius of a spherical balloon is increasing at the rate of 0.25 inch per second. If the radius is 0 at time t = 0, find the rate of change in the volume at time t = 3.
-
A triangle has vertices A, B, and C. The length of the side c = AB is increasing at the rate of 3 inches per second, the side b = AC is decreasing at 1 inch per second, and the included angle ( is...
-
A child is flying a kite. If te kite is 90 feet above the child's hand level and the wind is blowing it on a horizontal course at 5 feet per second, how fast is the child paying out cord when 150...
-
Please answer the following. Show your calculations for potential partial credit. Assume the expected return on the market is 14 percent and the risk-free rate is 4 percent. A.)What is the expected...
-
What is inventory, and how is it typically measured?
-
For a system prepared by partially decomposing \(\mathrm{CaCO}_{3}\) into an evacuated space, the number of degrees of freedom is (a) 2 (b) 0 (c) 1 (d) 3 .
-
How is the frequency of the solution of Duffing's equation affected by the nature of the spring?
-
Mini- Case: Ethics. Refer to the mini- case Andersen: An Obstruction of Justice? on page C1 and respond to questions 1, 2, 3, 4, 5, and 7. On page C1 1. Look up the term corrupt in the dictionary....
-
A tensile strip of polystyrene that is 10 cm in length, 5 cm inwidth, and 2 cm in thickness is stretched to a length of 10.5 cm.Assuming that the sample is isotropic and deforms uniformly,calculate...
-
"A producer of computer aided design software for the aerospace industry receives numerous calls for technical support. Tracking software is used to monitor response and resolution times. In...
-
A particle P is moving along the graph of y = x2 - 4, x 2, so that the x-coordinate of P is increasing at the rate of 5 units per second. How fast is the y-coordinate of P increasing when x = 3?
-
Two ships sail from the same island port, one going north at 24 knots (24 nautical miles per hour) and the other east 30 knots. The northbound ship departed at 9:00 A.M. and the east bound ship left...
-
Find the Z-parameters of the two-port network in Fig. 13-19 and compare the results with those of Problem 13.3. Data problem 13.3 Find the Z-parameters of the two-port network in Fig. 13-18. V ww 5 ...
-
What is meant by expected value of any random variable?
-
What do you mean by D-Optimal design?
-
Discuss the termination criteria of GBD method.
-
How is the Fed organized?
-
Give some examples of uncertainties in chemical industry.
-
What is the difference between on-the-run and off-the-run Treasuries?
-
A Alkynes can be made by dehydrohalogenation of vinylic halides in a reaction that is essentially an E2 process. In studying the stereochemistry of this elimination, it was found that...
-
(a) Find the Taylor polynomials up to degree 6 for f(x) = cos x centered at a = 0. Graph f and these polynomials on a common screen. (b) Evaluate f and these polynomials at x = /4, /2, and . (c)...
-
Use Taylors Inequality to determine the number of terms of the Maclaurin series for ex that should be used to estimate e0.1 to within 0.00001.
-
How many terms of the Maclaurin series for In (1 + x) do you need to use to estimate In 1.4 to within 0.001?
-
A large hospital required nurses to work 80 hours over two-week (14 day) pay periods. In addition, nurses were also considered to be "on-call" for an additional 20 hours during the pay period. While...
-
Describe the history of the HIPAA, explaining why it is essential. Consider the following questions in your response: Why is understanding the history of the HIPAA law essential in decision making...
-
"I'm not sure we should lay out $265,000 for that automated welding machine," said Jim Alder, president of the Superior Equipment Company. "That's a lot of money, and it would cost us $75,000 for...
Study smarter with the SolutionInn App