A toy rocket is launched from the top of a cliff with an initial vertical velocity of 64 ft/s. The height h (in feet) of the rocket as a function of time t (in seconds) is modeled by the
equation:
h(t)=–16t+64t+80

Find dy/dx using implicit differentiation ln(20+e^xy)=y

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.

Circle a has a diameter of 7 inches, a circumference of 21.98 inches, and an area of 38.465 square inches. the diameter of circle b is 6 inches, the circumference is 18.84 inches, and the area is 28.26 square inches. part a: using the formula for circumference, solve for the value of pi for each circle. (4 points) part b: use the formula for area and solve for the value of pi for each circle. (4 points)