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Maximizing yield. An apple orchard has an average yield of 36 bushels of apples/tree if tree density is 22 trees/acre. For each unit increase in tree density, the yield decrease by 2 bushels/tree. How many trees should be planted in order to maximize the yield?
What velocity should the bird have (speed is the same) so that the temperature around the bird increase as fast as possible? What is the rate of change of the temperature?
Explain why a point on the boundary line cannot be used as a test point when graphing a linear inequality in two variables. Provide an example.
The length of a rectangle is two inches longer than five times the width. What is the maximum width of the rectangle when the perimeter is no more than 232 inches?
The Decision Sciences department head at a university will be scheduling faculty to teach courses during the coming fall semester.
give probability in decimal form, in a class of 36, 3 earn's A,9 earn B's,23 earn C's and 1 D. if one student is selected at random, what is the probability the student earned an A?
a trough is 12 ft long, 2ft high and 2ft wide at the top and has isosceles triangular ends. if water is put in at the rate of 1ft^3 per minuter, how fast is the depth increasing when it is 1.5 ft deep?
find the equation of the tangent line to the curve f(x)=4/(5x + 7) at the point (-1.2). (use the definition of derivative (not short cut) to find f'(x))
Determine the dean's optimal strategy. The dean of the School of Business at Northern Connecticut State University has been approached by a government agency in Hunan Province, China, to provide MBA training to a group of 30 midlevel officials
Compute the value of the sample correlation coefficient between weekly sales and shelf space.
T est to see if the mean of the population is at least twelve ounces.
Solve the given integral by the method of partial fractions: (S stands for the integration sign) S sec^2(x) / (tan^3(x) - tan^2(x)) dx
Make a venn diagram: 25 students play soccer, 4 boys play soccer and baseball, 3 girls play soccer and baseball, 10 boys play baseball, 4 girls play baseball
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