647 Answered Questions for the topic calc

Calc Math Calculus

08/14/21

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.y=6-3/2x, y=0, x=1, x=2 ; about the x-axisV=?sketch the region sketch... more

08/13/21

Finding area of a region on graph using integration.

Consider the following.y = x2y = 12 − x(a) Find the area of the region by integrating with respect to x.(b) Find the area of the region by integrating with respect to y.Any help will be very... more

08/09/21

You are designing a lamp reflector for a spotlight.

You are designing a lamp reflector for a spotlight. If you want to placc the lamp 50cm from the vertex of the parabolic reflector, find the equation of the parabola that describes the shape of the... more

08/09/21

You are designing a lamp reflector for a spotlight.

You are designing a lamp reflector for a spotlight. If you want to placc the lamp 50cm from the vertex of the parabolic reflector, find the equation of the parabola that describes the shape of the... more

7.10: What fraction of the variability in potassium is accounted for by the amount of fiber that servings​ contain?

The correlation between a​ cereal's fiber and potassium contents is r=0.892. What fraction of the variability in potassium is accounted for by the amount of fiber that servings​... more

08/08/21

If he leaves class​ late, there is a 46​% chance that he will miss his train. What is the probability that he gets out of class late and misses the​ train?

A student figures that he has a 51​% chance of being let out of class late. If he leaves class​ late, there is a 46​% chance that he will miss his train. What is the probability that he gets out of... more

08/08/21

If he leaves class​ late, there is a 46​% chance that he will miss his train. What is the probability that he gets out of class late and misses the​ train?

A student figures that he has a 51​% chance of being let out of class late. If he leaves class​ late, there is a 46​% chance that he will miss his train. What is the probability that he gets out of... more

14.3: What are the mean and standard deviation of his total weekly​ salaries?

An employer pays a mean salary for a​ 5-day workweek of ​$1050 with a standard deviation of ​$136. On the​ weekends, his salary expenses have a mean of ​$350 with a standard deviation of ​$60. What... more

08/08/21

Optimization word problem

A rectangular page is to contains 99 square inches of print. The margins on each side are 1 inch. Find the dimensions of the page such that the least amount of paper is used.larger value = ?smaller... more

08/04/21

c15.9: A basketball player has made 80​% of his foul shots during the season. Assuming the shots are​ independent, find the probability that in​ tonight's game he does the following.

A basketball player has made 80​% of his foul shots during the season. Assuming the shots are​ independent, find the probability that in​ tonight's game he does the following.​a) Misses for the... more

08/04/21

c15.9: A basketball player has made 80​% of his foul shots during the season. Assuming the shots are​ independent, find the probability that in​ tonight's game he does the following.

A basketball player has made 80​% of his foul shots during the season. Assuming the shots are​ independent, find the probability that in​ tonight's game he does the following.​a) Misses for the... more

C17.4: . The sample showed the average loss was ​$8601 with a standard deviation of ​$1405

The housing market has recovered slowly from the economic crisis of 2008.​ Recently, in one large​ community, realtors randomly sampled 48 bids from potential buyers to estimate the average loss in... more

C21.7: Find a​ 95% confidence interval for this difference and interpret it in context.

In analyzing the city and highway fuel efficiencies of many cars and​ trucks, the mean difference in fuel efficiencies for the 632 vehicles was 7.36 mpg with a standard deviation of 2.59 mpg. Find... more

C13: What is the probability that a randomly selected person in the country enjoys cooking or shopping or​ both?

Fifty-four percent of people in a certain country like to cook and 52​% of people in the country like to​ shop,while 22​% enjoy both activities. What is the probability that a randomly selected... more

Suppose that 20​% of people have a dog​, 32​% of people have a cat​, and 8​% of people own both. What is the probability that someone owns a dog or a cat​?

Suppose that 20​% of people have a dog​, 32​% of people have a cat​, and 8​% of people own both. What is the probability that someone owns a dog or a cat​?

07/29/21

In which month is it more unusual to have a day with a high temperature of 55°​? Explain.

A​ town's January high temperatures average 37°F with a standard deviation of 10°​, while in July the mean high temperature is 77° and the standard deviation is 10°. In which month is it more... more

07/29/21

In which month is it more unusual to have a day with a high temperature of 55°​? Explain.

A​ town's January high temperatures average 37°F with a standard deviation of 10°​, while in July the mean high temperature is 77° and the standard deviation is 10°. In which month is it more... more

C5.5: Suppose that the weights of all such animals can be described by a Normal model with a standard deviation of 98 pounds.

A livestock cooperative reports that the mean weight of yearling Angus steers is 1147 pounds. Suppose that the weights of all such animals can be described by a Normal model with a standard... more

07/29/21

Find a unit vector that is orthogonal to both →u= ⟨6,−3,−8⟩ and v= ⟨−7,10,0⟩.

Note: This question is very sensitive to rounding errors. Enter an exact answer only.

07/29/21

Let →a = <−4,−2,−3> and →b= <−2,0,−5>. Find (−2→a) − (2→b).

Let →a = <−4,−2,−3> and →b= <−2,0,−5>. Find (−2→a) − (2→b).<___ , ___ , ___>

07/19/21

Please help! Calculus problem

4. A motor is spinning a circular disk with a diameter of 2.5 inches at a rate of 7200 RPM (revolutions per minute). If the motor and disk suddenly stop spinning at exactly 0.01 seconds, what the... more

07/09/21

how many meters will it travel

A particle that moves along a straight line has velocity v(t) = t^(2)e^(−3t) meters per second after t seconds. How many meters will it travel during the first t seconds (from time=0 to time=t)? 

07/09/21

how many meters will it travel

A particle that moves along a straight line has velocity v(t) = t^(2)e^(−3t) meters per second after t seconds. How many meters will it travel during the first t seconds (from time=0 to time=t)? 

07/08/21

feet per second with a rotating light

A rotating light is located 19 feet from a wall. The light completes one rotation every 5 seconds. Find the rate (feet per second) at which the light projected onto the wall is moving along the... more

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