slope = 13
the slope of the tangent is f'( 4)
given f(x) = x² + 5x , then f'(x) = 2x + 5
and f'(4) = ( 2 × 4 ) + 5 = 13
Answer:
15.06
Step-by-step explanation:
I don't have a step-by-step explanation, but i hope this helps!!!
Answer:
dV/dt = 40π
Step-by-step explanation:
We are told that The radius r(t) of the base of a cone is increasing at a rate of 10 meters per second. Thus;
dr/dt = 10 m
Height: h = 6 m
Volume of cone is given by the formula;
V = ⅓πr²h
dV/dr = ⅔πrh
We want to find the rate at which the volume is changing at radius of 1m.
Thus;
dV/dt = (dV/dr) × (dr/dt)
dV/dt = ⅔π(1 × 6) × (10)
dV/dt = 40π
