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A slice of circular pizza has perimeter 32 inches. Denote the central angle of the slice of pizza by theta radians and the radius by x inches. What is the diameter of the pizza which give maximum area (and hence the most pizza)? Justify your answer. Show a sketch and recall that the area of the sector of a circle with central angle theta radians and radius R is 1/2R2 theta and the length of the arc cut off by such an angle has length R(theta) with the angle measured in radians again.
consumers in a certain state choose between three long distance telephone services. gtt ncj and dash. aggressive
Also, the number of radio ads must be at least as great as the number of television ads. How many ads of each type should be used? How many people will this reach?
Show that both coefficients are identical, and derive their value. Show in general that if m copies of a variable Xj are included in a ridge regression, their coefficients are all the same.
Assume running consumes 9393 Calories per mile. If you run 1111-minute miles, what is your average power output, in watts, during a 11-hour run
Imagine that you are teaching someone trigonometry and trigonomic functions. Choose the approach (i.e. the unit, circle, or right angles ) that you would use. Support your answer by listing the pros and cons of each approach.
At what rate (in3 in) does the volume change with respect to the radius when r = 6 in? Using the rate from part a, by approximately how much does the volume increase when the radius changes from 6 to 6.2 in?
At a high school five-year reunion, half of the 168 graduates were women and 89 of the graduates had gone to college; 46 of those 89 were women.
A car is 5 ft (60 in) high. You want to make a model at a scale of (1/8). How high in inches will the model be?
Examine several newspapers and magazines and describe at least three examples of functions that you find. What is the domain and range of each function?
Consider the function G(x, y, z) = x2y2 + yz2 + zx2. Compute the gradient vector ∇G. Determine the tangent plane at (1, 2, -2) for the level surface G(x, y, z) = 10
Student life does not generally afford a great deal of free time to pursue your personal interests; however, at one point, you may have considered turning a personal interest or hobby into an official enterprise. Today, you have finally decided to..
evaluate an amount of gravel from the given ratio.concrete is made by mixing gravel cement and sand in the ratio of
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