Decide if the given value of x is a critical number for f, and if so, decide whether the point is a relative minimum, relative maximum, or neither.f(x) = x2 - x - 6; x = 
A. Critical number, relative minimum at 
B. Not a critical number
C. Critical number, relative maximum at 
D. Critical number but not an extreme point
Answer: A
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Prove that the equation is an identity.
= 
+ 8
What will be an ideal response?
Provide an appropriate response.Which of the following statements defines 
f(x) = ??I. For every positive real number B there exists a corresponding ? > 0 such that f(x) > B whenever x0 - ? < x < x0 + ?.II. For every positive real number B there exists a corresponding ? > 0 such that f(x) > B whenever x0 < x < x0 + ?.III. For every positive real number B there exists a corresponding ? > 0 such that f(x) > B whenever x0 - ? < x < x0.
A. II B. I C. III D. None
Find the triple scalar product (u x v) ? w of the given vectors.u = i + j + j; v = 9i + 4j + 8k; w = 5i + 9j + 6k
A. 27 B. -1 C. 103 D. -123
A point (3, 2) is plotted as:
a. -3 on the x-axis and +2 on the y-axis b. +3 on the y-axis and -2 on the x-axis c. +3 on the x-axis and -2 on the y-axis d. +3 on the x-axis and +2 on the y-axis e. +3 on the y-axis and +2 on the x-axis