Provide an appropriate response.If we are looking for the critical points 
on the surface of 
then we study the tangent lines to 
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 (iii) is correct.
B. Only (ii) is correct.
C. Both (i) and (ii) are correct.
D. Only (iv) is correct.
Answer: C
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Solve the given differential equation.
+ 25y = sin 5x
A. y = c1 sin 5x + c2 cos 5x - 
x sin 5x - 
x cos 5x
B. y = c1 sin 5x + c2 cos 5x - 
x sin 5x
C. y = c1 sin 5x + c2 cos 5x - 
x cos 5x
D. y = c1 sin 5x + c2 cos 5x + 
x cos 5x
Answer the question.f(x) = 
Does 
f(x) exist?
A. No B. Yes
Multiply and write the product as a mixed number in simplest form.5 ? 
A. -10
B. -10
C. -13
D. -14
Solve and give interval notation for the solution set. Then graph the solution set.x + 4 < - 
or x + 4 > 
A. (-?, - 
) ? (- 
, ?)
B. (-?, - 
) ? (- 
, ?)
C. (- 
, - 
)
D. (- 
, - 
)