1. the area a = _r2 of a circular oil spill changes with the radius. at what rate does the area change with respect to the radius when r = 3ft?
6_ ft2/ft
3_ ft2/ft
6 ft2/ft
9_ ft2/ft
2. the height of a cylinder with a fixed radius of 6 cm is increasing at the rate of 3 cm/min. find the rate of change of the volume of the cylinder (with respect to time) when the height is 20cm.
36_
108_
360_
none of these

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions