Calculate the direction of 
and the midpoint of line segment P1P2.P1(4, 2, 2) and P2(14, 12, 7)
A. 
i + 
j + 
k; 
B. 
i + 
j + 
k; 
C. 
i + 
j + 
k; 
D. 
i + 
j + 
k; 
Answer: C
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Find P?4(x), the fourth Taylor polynomial of the following function at the indicated point.
?
at 
?
Express any non-integer coefficients as reduced fractions.
What will be an ideal response?
Solve the problem.A study was conducted to compare the average time spent in the lab each week versus course grade for computer students. The results are recorded in the table below. Find the equation of the least-squares regression line that models the data. Number of hours spent in lab Grade (percent) 10 96 11 51 16 62 9 58 7 89 15 81 16 46 10 51
A. y ? 0.930 + 44.3x B. y ? 1.86 + 88.6x C. y ? 44.3 + 0.930x D. y ? 88.6 - 1.86x
Write the indicated event in set notation.The event that George wins second prize in a competition in which two people are selected from four finalists to receive the first and second prizes. The prize winners are selected by drawing names from a hat. The names of the four finalists are Jim, George, Helen, and Maggie. [The possible outcomes can be represented as follows.JGJHJMGJGHGMHJHGHMMJMGMHHere, for example, HM represents the outcome that Helen receives the first prize and Maggie receives the second prize.]
A. 
B. 
C. 
D. 
The rectangular coordinates of a point are given. Find polar coordinates for the point.(
, -1)
A. 
B. 
C. 
D. 