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For each function below find all critical points, x- and y- intercepts. Apply first and second derivative tests. Indicate the intervals over which the graph is increasing ii) decreasing iii) concave up iv) concave down.
a. y=x^3-12x^2+45x only one zero at(0,0)
b. y=x^4-8x^2+7 zeros at (2.6,0),(-1, 0), (1, 0), (2.6, 0)
c. y=x^5+80x^2 zeroes at (-4.3, 0) and (0, 0)
Suppose the three vertices A, B and C of a parallelogram ABCD are given. Construct the fourth vertex D.
Probability and Statistical Methods. A manufacturing intraocular lens is in a process of verifying a polishing machine. The polisher will be accepted only if the percentage of polished lenses containing surface defects does not exceed 1.5%
A linear regression model has a slope of -2.5 and an intercept of 10. The sample coefficient of determination is 0.50. What is the value of the sample correlation coefficient?
What is the area of the shaded region? Assume the hexagon is regular. The length is 22 the apothem is 19.05.
Find a function that models the revenue in terms of ticket price. (Let x be the ticket price and R(x) be the revenue.)
Assuming independence and uniform distribution for these midpoints, find the probability that the line segments overlap. Show work.
A. Find an equation of a stright line passing through the points with coordinates (-1, 5) and (4, -2), giving your answer in the form ax + by + c = 0 , where a, b and c are integers.
Two cars start moving from the same point. one travels south at 30 mi/h and the other travels west at 70 mi/h. At what rate is the distance between the cars increasing 2 hours later?
Formulate an appropriate hypothesis and state your conclusion.
On August 24, 1894, Pop Shriver of the Chicago White Stockings caught a baseball dropped (by Clark Griffith) from the top of the Washington Monument. The Washington Monument is 555 ft tall and a baseball weighs 5 1/8 oz.
identify two markets of your choosing the first characterized by an elastic demand and the second one by an inelastic
a total of 8000 runners started a long distance run. the results of the raceare listed below. 316 of the runners
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