Find dy/dx.


Mathematics

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Find the slope of the line determined by this pair of points. ? (1.7, 6.7), (11.7, 13.7) ?

A.


B.


C.


D.


E.


Mathematics

Solve the problem.Find the number of units that must be produced and sold in order to yield the maximum profit, given the following equations for revenue and cost:R(x) = 20x - 0.5x2C(x) = 4x + 5.

A. 24 units B. 16 units C. 17 units D. 21 units

Mathematics

Evaluate the integral. dt

A. -cos  + C
B. -  cos  + C
C.  cos  + C
D. 5 cos  + C

Mathematics

Solve the problem.The following table shows the median number of hours of leisure time that Americans had each week in various years. (i) Use a graphing calculator to fit a quadratic sequence regression function  an = an2 + bn + c to the data, where n is the number of years after 1973. (ii) Estimate the median number of leisure hours per week in 2000 and 2010. Round to the nearest hour.

A. (i) an = -0.04x2 + 1.21x + 26.03; (ii) 30 hours; 16 hours B. (i) an = 0.04n2 - 1.21n + 26.03; (ii) 23 hours; 36 hours C. (i) an = -0.021n2 + 1.44n + 28.07; (ii) 52 hours; 53 hours D. (i) an = 0.021x2 - 1.44x + 28.07; (ii) 4 hours; 4 hours

Mathematics