Answer:
192 cm^3/min
Step-by-step explanation:
Differentiating the volume expression, we get ...
dV/dt = 2xh(dx/dt) +x^2(dh/dt)
We are given that ...
x = 4 cm, dx/dt = 2 cm/min, h = 15 cm, dh/dt = -3 cm/min
Putting these values into the formula for volume rate of change, we get ...
dV/dt = 2(4 cm)(15 cm)(2 cm/min) +(4 cm)^2(-3 cm/min)
= 240 cm^3/min -48 cm^3/min
dV/dt = 192 cm^3/min
F(a)=-2a^2 - 5a^4
if a=-3
f(-3)=-2(-3)^2 - 5(-3)^4
=(-2*9) - (5*81)
=-18 - 405
=423
Answer:
C) 8 and 9
Step-by-step explanation:
We know that 70 is between two perfect squares.
The square numbers 64 and 81 can help us solve this question.
64<70<81
We take square root to get:
We simplify this to get:
Therefore √70 is between 8 and 9.
The correct option is C.
