Find dy/dx: y = 10x (2a5+7) 2 a. 243z 243x 2(32 +5) 2 O b. 2(32+5) 2 450z 10 11 (2a5 +7) 2 (2x5 +7) 2 с. 243z 6. 3. 2(3z +5)7 243x (3x+5) 2 d. 9. 2(3z+5) 7 (3x+5) 2

Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.

The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.