A tanker truck has overturned and is spilling oil onto the highway. Amazingly, the region covered by the oil spill maintains a perfectly circular shape. The area covered by the spill is growing at a rate of 40π square feet per minute. How quickly is the radius of the oil spill growing when it covers an area of 100π square feet?

Step-by-step explanation:

The area of a circle is:

The rate of change of the oil spill is:

The radio of the oil spill is:

The rate of change of the oil spill is:

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

b

step-by-step explanation:

the word superfluous means unnecessary