Find a rectangular equation equivalent to the given pair of parametric equations.x = 5 sin t, y = 5 cos t; 0 ? t ? 2?
A. y2 - x2 = 25; -5 ? x ? 5
B. y =; -5 ? x ? 5
C. y = x2 - 9; -2 ? x ? 2
D. x2 + y2 = 25; -5 ? x ? 5
Answer: D
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Find the first three nonzero terms of the Maclaurin expansion of the given function.f(x) =
A. 1 + x2 -
x4 + ...
B. 1 + x -
x3 + ...
C. 1 - x +
x2 - ...
D. 1 - x +
x2 - ...
Convert the angle in degrees to radians. Express answer as a multiple of ?.- 54°
A. - radians
B. - radians
C. - ? radians
D. - radians
The number n of incidents of family violence requiring police response appears to be related to d, the money spent on crisis intervention, by the equation . What expenditure would reduce the number of incidents to 384?
?
A. $49,200 B. $9,200 C. $109,200 D. $162,800 E. $71,200
Solve the problem.The daily profit for a product is given by P = 36x - 0.02x2 - 1600, where x is the number of units produced and sold.a. Graph this function for x between 0 and 2100.b. Describe what happens to the profit of this product when the number of units produced is between 1 and 900. What happens after 900 units are produced? c. Is the graph of this function concave up or down?
A. a.
b. The profit increases.; The profit decreases.
c. The graph is concave up.
B.
a.
b. The profit decreases.; The profit increases.
c. The graph is concave up.
C. a.
b. The profit decreases.; The profit increases.
c. The graph is concave down.
D. a.
b. The profit increases.; The profit decreases.
c. The graph is concave down.