Answer the question.If we are looking for the critical points (a,b) on the surface of 
then we study the tangent lines to (a,b) along the slices parallel to the 
and 
These tangent lines must have which of the following properties?(i) They must be perpendicular.(ii) They must be horizontal.(iii) They must be horizontal, but not perpendicular.(iv) They must be perpendicular, but not horizontal.
A. Only (ii) is correct.
B. Only (iii) is correct.
C. Only (iv) is correct.
D. Both (i) and (ii) are correct.
Answer: D
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The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and t in seconds.s = 3t2 + 2t + 3, 0 ? t ? 2Find the body's displacement and average velocity for the given time interval.
A. 10 m, 14 m/sec B. 22 m, 11 m/sec C. 16 m, 8 m/sec D. 16 m, 16 m/sec
Solve.
+ 
= 1
+ 
= 1
A. (-i
, -2i
), (-i
, 2i
), (i
, -2i
), (i
, 2i
)
B. (-i
, 2i
), (i
, 2i
)
C. (-i
, -4), (-i
, 4), (i
, -4), (i
, 4)
D. (-i
, 4), (i
, 4)
Factor when possible.a2 + 13a + 42
A. (a - 6)(a + 7) B. (a + 6)(a + 7) C. (a - 6)(a + 1) D. Prime
Simplify by factoring out the given factor.(2m + 3)-2/5 + (2m + 3) 1/5 + (2m + 3) 7/5; (2m + 3)-2/5
A. (2m + 3)-2/5 [1 + (2m + 3) 3/5 - (2m + 3) 9/5] B. (2m + 3)-2/5 [1 + (2m + 3) 3/5 + (2m + 3) 9/5] C. (2m + 3)-2/5 [1 + (2m + 3)-3/5 + (2m + 3) -9/5] D. (2m + 3)-2/5 [1 + (2m + 3) 4/5 + (2m + 3) 7/5]