AP Calculus
posted by T .
At what value of h is the rate of increase of √h twice the rate of increase of h?
(a) 1/16
(b) 1/4
(c) 1
(d) 2
(e) 4

AP Calculus 
Reiny
let y = h
dy/dh = 1
let y = √h = h^(1/2)
dy/dh = (1/2)h^(1/2 = 1/(2√h)
so when is 1 = 2(1/2)/(2√h)
1 = 1/(2√h)
2√h = 1
√h=1/2
h = 1/4
Respond to this Question
Similar Questions

AP Chem
RATES: If you double the concentration of reactant A in the reaction A + 2B ¨ C, what happens to the rate based on the rate law, rate = [A]2 [B]3? 
calculus
The radius of a circle is increasing at a nonzero rate, and at a certain instant, the rate of increase in the area of the circle is numerically equal to the increase in its circumstance. At this instant, the radius of the cirle is... … 
Accounting
If a company pays $4.90 dividend at the end of the year, and the stock price is $80, and the growth rate is 6%. How could you increase the dividend yield? 
math
If a company pays $4.90 dividend at the end of the year, and the stock price is $80, and the growth rate is 6%. How could you increase the dividend yield? 
chemistry
I did 3 Experiments and got 3 rate as the following: Exp1: (S2O8)2:0.05M; I:0.05M rate:1.7x10^5 M/s Exp2: (S2O8)2:0.10M; I:0.05M rate:3.4x10^5 M/s Exp3:(S2O8)2:0.05M; I:0.10M rate:3.6x10^5 M/s what effect does doubling [(S208)2] … 
biology
using lactose and a ph value of 3,5,7,9,11, Why was there no increase in the reaction rate with 8.0 g. of substrate as compared to 4.0 g. of substrate? 
Calculus
The radius of a circle is increasing. At a certain instant, the rate of increase in the area of the circle is numerically equal to twice the rate of increase in its circumference. What is the radius of the circle at that instant? 
chemistry
if the concentration of all the reactants doubled, what works happen to the rate I know the reaction rate would increase, but in a previous example it asked the question and the answer was that the rate increases by 16 and I can't … 
Calculus
A spherical balloon is being inflated so that, at the time when the radius is 5m, the radius is increasing at the rate of 0.15m/s. (A) Find the rate of increase of the volume at this time. (B) If the rate of increase of volume thereafter … 
Math
Let r(t) be a differentiable function that is positive and increasing. The rate of increase of r^3 is equal to 12 times the rate of increase of r when r(t)=?