Solve the inequality. Use algebra to solve the corresponding equation.x2 - 5x ? -6
A. [3, ?)
B. [2, 3]
C. (-?, 2]
D. (-?, 2] ? [3, ?)
Answer: D
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Identify the function's extreme values in the given domain, and say where they are assumed. Tell which of the extreme values, if any, are absolute.h(x) = x3 + 6x2 + 2x + 2, -? < x ? 0
A. local and absolute minimum: 1 at x = -1; B. local and absolute maximum: 2 at x = 0; C. local and absolute maximum: 2 at x = 0; local and absolute minimum: 1 at x = -1 D. no local extrema; no absolute extrema
A landscape designer is working on the plans for a residential yard. Her clients want a privacy hedge planted on three sides of the rectangular backyard. (The side bordering the house will not be planted.) The plant selected for the hedge spans 5 when mature. If the backyard is 50 feet deep and 80 feet long and there is to be a plant at the corners of the hedge, how many hedge plants are required? (See sketch.)
Translate the sentence into a mathematical equation. Be sure to identify the meaning of all symbols.The profit derived from the sale of x video cameras is $350 per unit less the sum of $2000 costs plus $150 per unit.
A. If P is profit and x the units sold, then P = 350x + 2000 - 150x or 
B. If P is profit and x the units sold, then P = 
- (2000 + 
) or 
C. If P is profit and x the units sold, then P = 350x - (2000 + 150x) or 
D. If P is profit and x the units sold, then P = 350x - (2000 - 150x) or 
Determine whether the vectors u and v are parallel, orthogonal, or neither.u = 
, v = 
A. Parallel B. Orthogonal C. Neither