Friday

October 24, 2014

October 24, 2014

Posted by **daryl** on Wednesday, December 19, 2012 at 9:12pm.

- calc -
**PhysicsPro**, Wednesday, December 19, 2012 at 9:14pmThe area A = x*y

We already know that y = 2x, so we can substitute that in:

A = x*2x = 2x^2

We were given that x(t) = 2t+5

A = 2x^2 = 2(2t +5)^2

A = 2(4t^2 + 10t + 25)

A(t) = 8t^2 + 20t + 25

The rate of change of the area with respect to time is dA/dt

dA/dt = 16t + 20

When t=2, dA/dt = 36

**Answer this Question**

**Related Questions**

calc -rates - assume a circle is expanding with time where r= t+3. What is the ...

calculus - Determine the rate at which the surface area is changing with respect...

5th grade - For each right triangle, draw the rectangle made by drawing sides ...

Calculus - Assume the dimensions of a rectangle are continuously changing in a ...

Calculus - A rectangle has area 64 m2. Express the perimeter of the rectangle as...

Calculus-Math - The length of a rectangle is given by 2t + 2 and its height is...

calculus - The length l of a rectangle is decrasing at a rate of 5 cm/sec while ...

Calculus - Given the area of a rectangle is A = LW. If three sides of the ...

math - consider pairs of rectangles where the dimensions are doubled (rectangles...

calculus - Find the rate of change of area in respect to temperature of a ...