Find the area between the curves f(x)=x^2 and g(x)=ax (assume a> 0)

Step-by-step explanation:

First let's find the 's for which the curves form a enclosure.

We do this by finding when f and g intersect.

Subtract on both sides:

Factor right hand side:

The product is zero when at least one of it's factors is zero.

So or

is positive and is greater than 0 so is the upper bound.

Also when is between .

The integral we need to evaluate is:

Plug in limits:

rounding to the nearest thousandth would be 452,000

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3