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PARCEL POST REGULATIONS Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 108 in. Find the dimensions of a rectangular package that has a square cross section and the largest volume that may be sent via priority mail. What is the volume of such a package? Hint: The length plus the girth is 4x + h (see the accompanying figure).
The angle of elevation of the sun is decreasing at a rate of 0.25 rad/h. How fast is the shadow cast by a 400-meter-tall building increasing when the angle of elevation of the sun is pi/6?
What are extraneous solutions of an equation? Why do they sometimes occur in the process of solving rational or radical equations?
Given the quadratic equation y = 5x2-3x+7 .What is the ordered pair that defines the y-intercept?
(a) How fast is the top of the ladder sliding down the wall? (b) At what rate is the area of the triangle formed by the ladder, wall, and the ground changing? (c) At what rate is the angle ! between the ladder and the ground changing?
question the sales goal for your store this week is 22682. the sales goal for your store this week last year was 20128.
Find the percentage error in the area of ellipse when an error of 7% is made in measuring major and minor axes. Find the percentage error in the area of ellipse when an error of 7% is made in measuring major and minor axes.
True or False. In a multinomial experiment, all outcomes of each trial can have several categories. In finding Expected Frequency you multiply what divided by what?
Show that among n+1 positive integers not exceeding 2n there must be an integer that divides one of the other integers by using pigeon hole principle.
The professor counts his midterm as 2/3 of the grade and his final as 11/3 of the grade. Wendy scored only 48 on the midterm. What range of scores on the final exam would put her average between 70 and 79 inclusive?
Describe the solutions to the equation by just determining the discriminant and complete the square of the expression for f(x) to determine the vertex of the graph of f(x). Would this be a maximum or minimum on the graph?
Use the product rule for differentiation to find derivatives in each of the following: I will understand your answer better if you use the formula we are using in school: If f(x)=u(x) . v(x), and if u'(x) and v'(x) both exist, then f'(x) = u(x) . v' ..
Show that the set of all least-squares solutions of the system is precisely the plane whose equation is x - 2y + 5z = (a + b + c)/3.
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