A spherical balloon is released from rest and expands as it rises.After rising for t seconds, its radius is r cm and its surface area is A cm^2,where A=4πr^2.The initial radius of a balloon is 16...
A spherical balloon is released from rest and expands as it rises.After rising for t seconds, its radius is r cm and its surface area is A cm^2,where A=4πr^2.The initial radius of a balloon is 16...
In the triangle ABC, AB=2x, AC= x+1 and ∠A =150 degrees.Show that the area of the triangle is 0.5x(x+1). If x is increasing at a rate of 2 cm s^-1,find the rate at which the area is increasing...
The height of the cylinder is twice the radius, x cm,of its base. If x is decreasing at a rate of 0.1cm s^-1, find the rate of change of the volume of the cylinder when x=2.
A cylindrical jar,of radius 3 cm, contains water to a depth of 5 cm. The water is then poured at a steady rate into an inverted container with its axis vertical. After t seconds, the depth of the...
A police car is located 30 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 210 feet up the road from the location of the...
A potato is put in a hot oven at t=0. After t minutes, the temperatures is T(t)=350-280e-.2t degrees. What is the initial temperature of the potato, and what is the temperature of the oven? Please...
I currently have 733/1100 points in my Chem class. (NOTE THIS DOESN'T INCLUDE FINAL) (76.7% according to teacher's gradebook) Here's his grading system: 90%= A 75%=B...
find average rate of change for this function f(x)=2x from x[1]=0 to x[2]=5
On Monday,my math class learned how to find the percent of change, and I was absent on Monday. And we did some problems in class today, and I still don't understand it. Can you help me to understand/explain...
scott began printing his history paper at 3:15. at 3:20,he found that it had printed 12 of his 15 pages.
the concession stand at the amusement park begins the day with 500 popcorn containers. when the park closes, 12 hours later,an inventory shows there are only 44 containers left.
when an amusement park opened,the counter on the turnstile at the entrance read 1278. 7 hours later,the counter read 3672.
when an amusement park opened,the counter on the turnstile at the entrance read 1278. 7 hours later,the counter read 3672.
at 1:00 the temperature outside registered 85 degrees.at 7:00, the temperature was 61 degrees.
dara works in the clothing department of a large store. when she began her shift at 4p.m.,the register showed sales of $10,550. when she clocked out at 9p.m.,the register showed sales of $40,620.
dixie left austin with a full tank of gas(16 gallons) and an odometer reading of 12,584 miles. upon arriving in houston, her gas tank was only half full(8 gallons) and her odometer reading was 12,792...
on his 5th birthday,paul was 42 inches tall. on his 7th birthday,he was 48 inches tall.
mr.suarez joined a gym to lose weight.after 3 weeks of membership he weighed 189 pounds. when he had been a member for 12 weeks,he weighed only 162 pounds.
a lab technician is growing a bacteria sample. after 1 hour,she notesthat there are 250 bacteria in the sample. after 3 hours,she notes that there are 1000 bacteria in the sample.