Draining a half cylinder tank. a trough is shaped like a half cylinder with length 5 m and radius 1 m. the tank is full of water when a valve is opened and water flows out of the bottom of the tank at a rate of 1.5m^3/hr . hint: the area of a sector of a circle of radius r subtended by an angle theta is r^2/2 times theta.
a: how fast is the water level changing when the water level is 0.5 m from the bottom of the trough?

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7