I need help with these homework problems.

1. Assume x and y are functions of t. Evaluate dy/dt for the following.

y^3=2x^10; dx/dt=2, x=3, y=4

2. Assume that all variables are implict functions of time t. Find the indicated rate.

x^2+2y^2+2y=25; dx/dt =1 when x= 5 and y = -1, find dy/dt

3. The relationship between revenue generated and the number of full-time employees for a particular company can be approximated by 5n + 31R=4000, where R is revenue in millions of dollars and n is the number of employees. In 2015, the rate of change of revenue with respect to time was $854 million per year; find the rate of change of the number of employees with respect to time.

(blank) dn/dt + (blank) dR/dt =

4. The campus bookstore has estimated that its profit (in dollars) from selling x hundred basketball conference championship t-shirts is given by the equation shown below.

p = -40x^2 + 579x - 521

The demand is currently 800 t- shirts, but euphoria over the championship is subsiding so the demand is dropping by 200 t- shirts per day. How is the profit changing with respect to time

$(blank) per day

5. A parked car dripping transmission fluid is creating a circular puddle whose area (in square inches) is A= nr^2 where r is the radius of the circle in inches. Find the rate at which the area of the puddle is increasing at the instant when the radius is 11 inches and increasing at a rate of 3 inches per minute.

when the radius is 11 inches, the area is changing at approximately (blank) square inches per minute

( The n is pie formatting i didn't know how to type it so i put the letter n instead)

6. The volume of a cantaloupe is given by V= 4/3 n r^3. The radius is growing at the rate of 0.4 cm/ week, at a time when the radius is 7.9 cm. How fast is the volume changing at that moment?

The volume is changing at a rate of (blank) cm^3/ week.

( The n is pie formatting i didn't know how to type it so i put the letter n instead)