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A semicircle of radius r is inscribed in a rectangle so that the diameter of the semicircle is the length of the rectangle. See the figure.
(a) Express the area A of the rectangle as a function of the radius r of the semicircle.
(b) Express the perimeter p of the rectangle as a function of r.
Interpret the confidence interval in a single sentence
A mirror in the shape of a paraboloid of revolution. If a light source is located 1 foot from the base along the axis of symmetry and the opening is 2 feet across, how deep should the mirror be?
One end of a rigid rod of length 3 feet is attached to a wheel of radius 1 foot, centered at the origin. The wheel is free to rotate about the origin. Find an equation relating X and θ
Fenton and Farrah Friendly, husband-and-wife car dealers, are soon going to open a new dealership
Graph the function y = 5x on the same graph for the same values of x. Include a second y axis for 5x and change it to a logarithm axis.
Find a 98% confidence interval for the true proportion of patients who experienced cotton mouth. Show your calculations and/or explain the process used to obtain the interval.
Find the average rate of change of f(x) on the interval [3,3+h]. Your answer will be an expression involving h.
Factor by grouping and check. 7t3 - 5t2 + 7t - 5 (The 3 represents to the third power, while the 2 represents the second power).
The media access control (MAC) address of a network interface is a unique address. Each network interface relating to its MAC fits the criteria of a function because each device has its own, unique MAC address. Describe an everyday situation in your ..
Factor the polynomial by grouping. 4y2 + 12y + 5 =
Find the distance across the lake from A to C to the nearest yard using the measurements 140yd 80 degrees and 160yd.
Describe an application for the use of ratios or proportions and how it could be useful in your daily life?
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