Provide an appropriate response.Find the equation of the line passing through the given pair of points (solve the equation for y): (3, -2) and (2, 4)

Fill in the blank(s) with the appropriate word(s).


y = -6x + 16

Mathematics

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Graph the curve over the given interval together with its tangent at the given value of x. Graph the tangent with a dashed line.y = cos(x), -2? ? x ? 2?, x = 

A.

B.

C.

D.

Mathematics

Determine the order of integration and then evaluate the integral.

A. 1 + cos 9 B. 1 - cos 9 C. cos 9 D. - cos 9

Mathematics

Find the value of the determinant.

A. 55 B. -55 C. -10 D. 71

Mathematics

The total weekly profit (in dollars) realized by Country Workshop in manufacturing and selling its rolltop desks is given by the profit function

?

?
where x stands for the number of finished units and y denotes the number of unfinished units manufactured and sold each week. The company's management decides to restrict the manufacture of these desks to a total of exactly 100 units/week. How many finished and how many unfinished units should be manufactured each week to maximize the company's weekly profit?
?

A. 40 finished and 60 unfinished units
B. 60 finished and 40 unfinished units
C. 10 finished and 90 unfinished units
D. 50 finished and 50 unfinished units

Mathematics