Question 1

Find the length of the curve.Select the correct Answer

Accepted Answer

264.0

Question 2

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  Select the correct Answer

Accepted Answer

279.0

Question 3

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

Accepted Answer

The answer of If the infinite curve  is rotated...

Question 4

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

Accepted Answer

The answer of Find the arc length of the graph...

Question 5

Use differentials to approximate the arc length of the graph of the equation from P to Q.RoundAnswer to four decimal places.

Accepted Answer

The answer of Use differentials to approximate the arc length...

Question 6

A large tank is designed with ends in the shape of the region between the curves  measured in feet.Find the hydrostatic force on one end of the tank if it is filled to a depth of  ft with gasoline.(Assume that the density of the gasoline is

Accepted Answer

The answer of A large tank is designed with ends...

Question 7

Find the area of the surface obtained by rotating the circle  about the line  Select the correct Answer

Accepted Answer

271.0

Question 8

Find the area of the surface obtained by rotating the curve about the x-axis.

Accepted Answer

The answer of Find the area of the surface obtained...

Question 9

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

Accepted Answer

277.0

Question 10

Dye dilution is a method of measuring cardiac output.If A mg of dye is used and c(t) is the concentration of the dye at time t, then the cardiac output over the time interval [0, T ] is given by  Find the cardiac output over the time interval [0, 15] if the dye dilution method is used with mg of dye and the dye concentration, in mg/L, is modeled by  where t is measured in seconds.

Accepted Answer

The answer of Dye dilution is a method of measuring...

Question 11

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

Accepted Answer

283.0

Question 12

Find the length of the curve.Select the correct Answer

Accepted Answer

274.0

Question 13

A hot, wet summer is causing a mosquito population explosion in a lake resort area.The number of mosquitoes is increasing at an estimated rate of  per week (where t is measured in weeks).By how much does the mosquito population increase between the 4th and th weeks of summer?

Accepted Answer

The answer of A hot, wet summer is causing a...

Question 14

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

Accepted Answer

The answer of Find the centroid of the region bounded...

Question 15

Write an integral giving the area of the surface obtained by revolving the curve about the x-axis.(Do not evaluate the integral.)  on [4, 6]

Accepted Answer

The answer of Write an integral giving the area of...

Question 16

Find the length of the line segment joining the two given points by finding the equation of the line using Equation (2).Then check yourAnswer by using the distance formula.Select the correct Answer(0, 0), (4, 6)

Accepted Answer

267.0

Question 17

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

Accepted Answer

The answer of You are given the shape of the...

Question 18

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

Accepted Answer

The answer of Use Simpson's Rule with n = 6...

Question 19

Find the area of the surface obtained by revolving the given curve about the x-axis.

Accepted Answer

The answer of Find the area of the surface obtained...

Question 20

A vertical plate is submerged in water (the surface of the water coincides with the x-axis).Find the force exerted by the water on the plate.(The weight density of water is

Accepted Answer

The answer of A vertical plate is submerged in water...

Quiz 8: Further Applications of Integration

Find the length of the curve.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 Select the correct Answer

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

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

Use differentials to approximate the arc length of the graph of the equation from P to Q.RoundAnswer to four decimal places.

A large tank is designed with ends in the shape of the region between the curves measured in feet.Find the hydrostatic force on one end of the tank if it is filled to a depth of ft with gasoline.(Assume that the density of the gasoline is

Find the area of the surface obtained by rotating the circle about the line Select the correct Answer

Find the area of the surface obtained by rotating the curve about the x-axis.

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

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

Find the length of the curve.Select the correct Answer

A hot, wet summer is causing a mosquito population explosion in a lake resort area.The number of mosquitoes is increasing at an estimated rate of per week (where t is measured in weeks).By how much does the mosquito population increase between the 4th and th weeks of summer?

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

Write an integral giving the area of the surface obtained by revolving the curve about the x-axis.(Do not evaluate the integral.) on [4, 6]

Find the length of the line segment joining the two given points by finding the equation of the line using Equation (2) .Then check yourAnswer by using the distance formula.Select the correct Answer(0, 0) , (4, 6)

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

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

Find the area of the surface obtained by revolving the given curve about the x-axis.

A vertical plate is submerged in water (the surface of the water coincides with the x-axis).Find the force exerted by the water on the plate.(The weight density of water is