Homework Answers

The region in the first quadrant which is bounded by the curve y² =

4x, and the lines x = 4 and y = 0, is revolved about the x-axis.

Locate the centroid of the resulting solid of revolution.

Given the area in the first quadrant bounded by y^2 = x, the line x =

4 and the x-axis. What is the volume generated when this area is

revolved about the y-axis?

The loop of the curve has an equation of y² = x (1 - x)^2. Find the

area enclosed by the loop of the curve.

The curve has an equation y = e^x. Compute the area bounded by the

curve from x = 0 to x = 1.

The curve has an equation y = e*. Compute the area bounded by the

curve from x = 0 to x = 1.

A curve has an equation of y=sin x. If the area of the curve

y=sin x from x=0 to X=pi is revolved about the y-axis, what is the

volume generated?

Two curves having an equation of x=2√y and y=2√x intersect each

other. Compute the area between the two curves.

The average zone of inhibition (in mm) for mouthwash H as tested by medical technology

students have been known to be 9mm. A random sample of 10 mouthwash H was tested

and the test yielded an average zone of inhibition of 7.5 mm with a variance of 25mm. Is

there enough reason to believe that the antibacterial property of the mouthwash has

decreased? Test the hypothesis that the average zone of inhibition of the mouthwash is

no less than 9mm using 0.05 level of significance.