Suppose we know that the radius of a circle is increasing at a rate of 10...

Suppose we know that the radius of a circle is increasing at a rate of 10 feet each second, and we want to know how fast the area of the circle is increasing when the radius is 5 feet. What can we do?

Expert Solution

If you have any question please comment. I will explain.

milcah answered 2 years ago

If a circle C with radius 1 rolls along the outside of the circle x2 +...

If a circle C with radius 1 rolls along the outside of the circle x2 + y2 = 36, a fixed point P on C traces out a curve called an epicycloid, with parametric equations x = 7 cos(t) − cos(7t), y = 7 sin(t) − sin(7t). Graph the epicycloid. Find the area it encloses.

A circle of radius r has area A = πr2. If a random circle has a...

A circle of radius r has area A = πr2. If a random circle has a radius that is uniformly distributed on the interval (0, 1), what are the mean and variance of the area of the circle? Change the distribution of the radius to an exponential distribution with paramter β = 2. Also find the probability that the area of the circle exceeds 3, if it is known that the area exceeds 2.

Suppose we know that the average heart rate measured for the 30 days is 129.5 bps....

Suppose we know that the average heart rate measured for the 30 days is 129.5 bps. Assume that fetal heart rate is normally distributed. He decides to use the sample’s Standard deviation of 12 bps because the populations Standard deviation is not known. Will this 95% confidence interval be more accurate than the confidence interval from above? Justify your answer.

1) A circle of radius r has area A = π r2. If a random circle...

1) A circle of radius r has area A = π r2. If a random circle has a radius that is evenly distributed in the interval (0, 1), what are the mean and variance of the area of the circle? choose the correct answer A) 1/3 and 1/12 B) Pi/3 and 1/12 C) Pi/3 and 1/5 D) Pi/3 and (4/45)*Pi^2

a- If the radius r of a circle is measured to be r  0.325 +\-...

a- If the radius r of a circle is measured to be r  0.325 +\- 0.001 m, then calculate the area of the circle A =  3.14r 2 , as well as the uncertainty in the area. b-Explain the difference between precision and accuracy. c-Do systematic errors affect precision or accuracy? Do random errors affect precision or accuracy?

Find the relation between the Euclidean radius and the spherical radius of spherical circle. Include a...

Find the relation between the Euclidean radius and the spherical radius of spherical circle. Include a picture.

1. True or False: If we know that f(x) is increasing on an interval, then f...

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Circle Class Write a Circle class that has the following member variables: • radius: a double...

Circle Class Write a Circle class that has the following member variables: • radius: a double • pi: a double initialized with the value 3.14159 The class should have the following member functions: • Default Constructor. A default constructor that sets radius to 0.0. • Constructor. Accepts the radius of the circle as an argument. • setRadius. A mutator function for the radius variable. • getRadius. An accessor function for the radius variable. • getArea. Returns the area of the...

Circle Class Write a Circle class that has the following member variables: • radius: a double...

Circle Class Write a Circle class that has the following member variables: • radius: a double • pi: a double initialized with the value 3.14159 The class should have the following member functions: • Default Constructor. A default constructor that sets radius to 0.0. • Constructor. Accepts the radius of the circle as an argument. • setRadius. A mutator function for the radius variable. • getRadius. An accessor function for the radius variable. • getArea. Returns the area of the...

Give one example of where we might want to increase blood flow by increasing the radius....

Give one example of where we might want to increase blood flow by increasing the radius. What happens to the smooth muscle of the artery when we do this?

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Suppose we know that the radius of a circle is increasing at a rate of 10...

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If a circle C with radius 1 rolls along the outside of the circle x2 +...

A circle of radius r has area A = πr2. If a random circle has a...

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Circle Class Write a Circle class that has the following member variables: • radius: a double...

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