A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 2 ft/min. What is the rate in the change of area at the instant that the radius is 17 ft?

the rate in the change of area at the instant that the radius is 17 ft ≈ 214ft²/min

Step-by-step explanation:

the working is shown in the attachment

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

step-by-step explanation:

the true ones are a b and d