# Calc

posted by .

3x^2 and 3x^3 are both increasing and positive for x>0. How many times greater is the rate of increase of 3x^3 than the rate of increase of 3x^2 at x=4?

• Calc -

y1 = 3x^2 and y2 = 3x^3

at x=4
dy1/dx = 6x or 24
dy2/dx = 9x^2 = 144

so how many times greater ?

• Calc -

144/24 = 6

## Similar Questions

1. ### 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?
2. ### macroecon

Assume that there is equilibrium in both the goods and the money market at all times. Suppose that the president of the United States has decided to start a war. The government will have to increase spending to pay for weapons, equipments, …
3. ### macroecon

Assume that there is equilibrium in both the goods and the money market at all times. Suppose that the president of the United States has decided to start a war. The government will have to increase spending to pay for weapons, equipments, …
4. ### chemistry

The rate law of the overall reaction. A + B -> C is rate = k[ A ]^2 Which of the following not increase the rate of a chemical reaction?
5. ### Chemistry(Please check)

1) The reaction A + B + C = products has a rate law rate = k times A times C squared. Which of the following will result in an increase in the rate constant for the reaction?
6. ### Calculus

If r is positive and increasing, for what value of r is the rate of the increase of r^3 twelve times that of r?
7. ### 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 …
8. ### physics

How can we increase the rate of change of magnetic flux?
9. ### Chemistry

The reaction 2NO (g) + 2H2 -> N2 (g) + 2H2O (g) was found to follow the rate law, rate = k[NO]^2[H2]. By what factor will the rate of reaction increase when the pressure of NO gas is increased from 2.0 atm to 3.0 atm?
10. ### 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)=?

More Similar Questions