Find  figures 4.png)
(t) for the function given.
r(t) = 2i+sintj+costk
 ANSWER.png)
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Decide whether or not the equation has a circle as its graph. If it does not, describe the graph.5x2 + 5y2 + 40x - 30y + 120 = 0
A. no; the graph is nonexistent B. yes C. no; the graph is the point (4, -3) D. no; the graph is the point (-4, 3)
Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value.f(x) = -4x2 - 2x - 2
A. maximum; - 
B. maximum; 
C. minimum; - 
D. minimum; 
Find the indicated probability.Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and 2 red marbles. Find the probability that one marble is green, and one marble is red.
A. 
B. 
C. 
D. 
Answer each question appropriately.Suppose the velocity of a body moving along the s-axis is 
= 9.8t - 1.Is it necessary to know the initial position of the body to find the body's displacement over some time interval? Justify your answer.
A. Yes, knowing the initial position is the only way to find the exact positions at the beginning and end of the time interval. Those positions are needed to find the displacement. B. Yes, integration is not possible without knowing the initial position. C. No, displacement has nothing to do with the position of the body. D. No, the initial position is necessary to find the curve s= f(t) but not necessary to find the displacement. The initial position determines the integration constant. When finding the displacement the integration constant is subtracted out.