Recent content by sammiyahc0

1. Assume that the radius r of a sphere is expanding at a rate of 50 cm/min. The volume of a sphere is V= 4/3 πr^3 and its surface area is 4πr^2.Determine the rate of change of volume when r = 13 cm [b]2. I tried d/dr=8*13*50*pi [b]3. 5200pi but is wrong

f(x)=(x^5)/x^2+6 and f(x)=2x^3-4x I tried x=(y^5)/(y^2+6) then x(y^2+6)=y^5 but idk after and y=2x^3-4x then idk what to do

1. The power delivered by a battery to an apparatus of resistance R (in ohms) is P = 2.35R /(R + 0.5)^2 watts.Find the rate of change of power with respect to resistance for R = 9.(Round your answer to four decimal places [b]2. quotient rule [b]3. 2.35(9+.05)^2-2(r+.5)/(r+0.5)^4

I still need help.

what does x represent?

the derivative

s'(t)=6t-3=6(10)-3=57s instantenous velocity but I don't know how to get average

The position of a particle moving in a straight line during a 10–second trip is s(t) = 3t2 − 3t + 5 cm.Find a time t at which the instantaneous velocity is equal to the average velocity for the entire trip

The position of a particle moving in a straight line during a 10–second trip is s(t) = 3t2 − 3t + 5 cm.Find a time t at which the instantaneous velocity is equal to the average velocity for the entire trip.