I) (a) Find the derivative: ( +1)(3x2 -88) (b) Use implicit differentiation to determine d from the Cobb-Douglass production equation 90x1/3y2/5432 (a) The width of a rectangle is increasing at a...
I) (a) Find the derivative: ( +1)(3x2 -88) (b) Use implicit differentiation to determine d from the Cobb-Douglass production equation 90x1/3y2/5432 (a) The width of a rectangle is increasing at a rate of 10 inches per minute, and the length is decreasing at a rate of 3 inches per minute. Determine the rate of change in area when the rectangle has a width of wdt hes and leng of 2o iches, is the ainreasing o decreasing? [Hint: Let w() and L(0) be the and length, respectively, at time t.] (b) Find the derivative: ex2+5x (a) The value of David scar a yearsfrom now woven by rt)-10000e-2t Determiethe rater 3) change in value of David's car 3 years from now (b) Find the derivative: x In (x)
I) (a) Find the derivative: ( +1)(3x2 -88) (b) Use implicit differentiation to determine d from the Cobb-Douglass production equation 90x1/3y2/5432 (a) The width of a rectangle is increasing at a rate of 10 inches per minute, and the length is decreasing at a rate of 3 inches per minute. Determine the rate of change in area when the rectangle has a width of wdt hes and leng of 2o iches, is the ainreasing o decreasing? [Hint: Let w() and L(0) be the and length, respectively, at time t.] (b) Find the derivative: ex2+5x (a) The value of David scar a yearsfrom now woven by rt)-10000e-2t Determiethe rater 3) change in value of David's car 3 years from now (b) Find the derivative: x In (x)