Give an ?-? proof of the limit fact.
x2 + 3x - 21 = 7
What will be an ideal response?
Let ? > 0 be given. Choose ? = min{1, ?/12}.
Then 0 < 
< ? implies that
Thus, 0 < 
< ? implies that 
< ?
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Sketch the graph and show all local extrema and inflection points.y = x + cos 2x, 0 ? x ? ?
A. Local minimum: 
; local maximum: 
Inflection points: 
and 
B. Local minimum: 
; local maximum: 
Inflection point: 
C. No local extrema.
Inflection point: 
D. Local minimum: (1.444, -0.246); local maximum: (0.126, 1.031)
Inflection points: (0.785, 0.393) and (2.356, 1.178)
Translate the phrase into a mathematical expression and then evaluate it.Sixty divided by five, minus eight
A. 
- 8; 4
B. 
+ 8; 20
C. 
; 20
D. 
; 4
Divide. Be sure your answer is simplified.
÷ 
A. 
B. 
C. 
D. 
Use the quadratic formula to find the exact solutions.x2 + 9x = -14
A. -2, -7 B. -2, 7 C. 2, 7 D. -7, 2