Answer:
A
Step-by-step explanation:
When x=1/4 x²=1/16 so f(1/4)=y=2 1/16 last answer
This problem requires the use of the chain rule: dy / dt = [dy / dx] * [dx / dt]
y = √x => dy / dx = 1 / (2√x)
<span>(a) Find dy/dt, given x = 16 and dx/dt = 7.
dy/dt = [ 1/(2√x) ] * 7 = [1/(2*4)] * 7 = 7/8
(b) Find dx/dt, given x = 64 and dy/dt = 8.
dx/dt = [dy/dt] / [dy/dx] = 8 / [1/(2√64) ] = 128
</span>
2/7 + 4/7 = 6/7 Can be rewritten as
4/7 + 2/7 = 6/7
The answer is going to be A.