Question

Suppose a small pond during the winter freezes into ice on the surface as a circle....

Suppose a small pond during the winter freezes into ice on the surface as a circle. In spring, if the ice melts such that the area is decreasing at a rate of 2 m^2/sec at what rate is the radius decreasing when the area of the ice is 12 m^2? r'=_______.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
a) Suppose that we have two functions, f (x) and g (x), and that: f(2)=3, g(2)=7,...
a) Suppose that we have two functions, f (x) and g (x), and that: f(2)=3, g(2)=7, f′(2)=−4, g′(2)=6 Calculate the values of the following derivative when x is equal to 2: d ?x2 f (x)?|x=2 b) A spherical ice ball is melting, and its radius is decreasing at a rate of 0.8 millimeters per minute. At what rate is the volume of the ice cube decreasing when the radius of the sphere is equal to 12 millimeters? Give your answer...
A small block on a frictionless, horizontal surface has a mass of 2.90×10−2 kg . It...
A small block on a frictionless, horizontal surface has a mass of 2.90×10−2 kg . It is attached to a massless cord passing through a hole in the surface (Figure 1). The block is originally revolving at a distance of 0.300 m from the hole with an angular speed of 2.53 rad/s . The cord is then pulled from below, shortening the radius of the circle in which the block revolves to 0.150 m. Model the block as a particle....
A small block on a frictionless, horizontal surface has a mass of 2.70×10−2 kg . It...
A small block on a frictionless, horizontal surface has a mass of 2.70×10−2 kg . It is attached to a massless cord passing through a hole in the surface (Figure 1). The block is originally revolving at a distance of 0.300 m from the hole with an angular speed of 2.33 rad/s . The cord is then pulled from below, shortening the radius of the circle in which the block revolves to 0.150 m. Model the block as a particle....
. Suppose a vertical pipe is to be used as part of a system to manually...
. Suppose a vertical pipe is to be used as part of a system to manually cycle nutrients upward from the floor of a lake. (Many lakes do this naturally, some do not. Green Lake, near Syracuse, NY, is one such lake.) A pump is to be installed on the lake floor at the base of the pipe. The base of the pipe will have a diameter of 9 cm. The nozzle of the pipe at the top will have...
a small blood veasel near the skin surface has a radius of 10um, a length of...
a small blood veasel near the skin surface has a radius of 10um, a length of 1mm and the pressure drop along the blood vessel is 2.5 Pa. The viscosity of blood is 2.7x10-3 N s m-2. A.) what is the volume flow rate of blood through this blood vessel? what is the velocity of blood flow? Answer F=3.64x10-12m3 s-1 v= 0.012ms-1 B.)vasodilation causes the radius of this blood vessel to increase to 12um, while leaving the pressure drop along...
A bowling ball (solid sphere, moment of inertia is (2/5)MR2) of mass M and radius R...
A bowling ball (solid sphere, moment of inertia is (2/5)MR2) of mass M and radius R rolls down a hill without slipping for a distance of L along the hill with slope of angle θ, starting from rest. At that point, the hill becomes frictionless.The ball continues down the hill for another segment of length 2L (thus the total distance travelled on the hill is 3L). The hill levels out into a horizontal area, where the coefficient of friction is...
1. Suppose that you are standing on the ground, under the flight path of an airplane....
1. Suppose that you are standing on the ground, under the flight path of an airplane. The airplane is flying at an altitude of 10 km. Using a radar device, you are able to detect that the plane is currently 26 km away from you, and that its distance to you is currently shrinking at a rate of 840 kilometers per hour. What is the current speed of the airplane? Hint: use the Pythagorean theorem to express a relationship between...
Gd and T Circle T if the statement is true. Circle F if the statement is...
Gd and T Circle T if the statement is true. Circle F if the statement is false. 1.      The MMB and LMB symbols are only used if the datum feature has size RMB is implied if the datum feature has size and no boundary symbol is used. No material boundary symbol can be used if a feature does not have size. 2.      Unit straightness can be used if the part must be controlled per unit of measure as well as...
Use the Solow model to solve. Suppose, you are the chief economic advisor to a small...
Use the Solow model to solve. Suppose, you are the chief economic advisor to a small African country with an aggregate per capita production function of  y=2k1/2. Population grows at a rate of 1%. The savings rate is 12%, and the rate of depreciation is 5%. (a) At the steady-state level of output, what is the numerical value of consumption? Identify the amount of consumption in your graph in part a. Show your work. (b) Say that population growth decreases in...
Scientists believe that during the Mesozoic period a meteor struck the earth and covered the planet...
Scientists believe that during the Mesozoic period a meteor struck the earth and covered the planet in a layer of sediment which is rich in iridium. This element is not found in abundance on earth, but is commonly found in asteroids. In the study of Spanish soil they found a concentration 30 ng / cm2 of iridium, and let’s assume28that due to the worldwide impact of such a meteor, the layer would be equally as concentrated everywhere on the planet....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT