Exam 8: Further Applications of Integration

Find the length of the curve.Select the correct Answer

Find the arc length of the graph from A to B.

For a given commodity and pure competition, the number of units produced and the price per unit are determined as the coordinates of the point of intersection of the supply and demand curves.Given the demand curve and the supply curve find the consumer surplus.

Find the area of the surface obtained by revolving the graph of about the

Use Simpson's Rule with n = 6 to estimate the length of the curve Round yourAnswer to six decimal places.

If the infinite curve is rotated about the x-axis , find the area of the resulting surface.Select the correct Answer

Find the arc length of the graph of the given equation on the specified interval.

Suppose the average waiting time for a customer's call to beAnswered by a company representative (modeled by exponentially decreasing probability density functions) is minutes.Find the median waiting time.Select the correct Answer

Find the centroid of the region shown in the figure.

The standard deviation for a random variable with probability density function and mean is defined Find the standard deviation for an exponential density function with mean

The manager of a fast-food restaurant determines that the average time that her customers wait for service is 2 minutes.Find the probability that a customer is served within the first minutes.Select the correct Answer

Find the centroid of the region bounded by the graphs of the given equations.

Find the arc length function for the curve with starting point

Use Simpson's Rule with n = 6 to estimate the length of the curve Round yourAnswer to six decimal places.Select the correct Answer

You are given the shape of the vertical ends of a trough that is completely filled with water.Find the force exerted by the water on one end of the trough.(The weight density of water is .)

The standard deviation for a random variable with probability density function and mean is defined Find the standard deviation for an exponential density function with mean

Select the correct Answer: for each question. -The marginal revenue from producing units of a certain product is Find the increase in revenue if the production level is raised from 1,100 units to units.

You are given the shape of the vertical ends of a trough that is completely filled with water.Find the force exerted by the water on one end of the trough.(The weight density of water is

Find the center of mass of a lamina in the shape of a quarter-circle with radius with density

According to the National Health Survey, the heights of adult males in the United States are (normally distributed with mean) 73 inches, and standard deviation of 2.8 inches.What is the probability that an adult male chosen at random is between inches and inches tall?