Find the coordinates of the vertex for the parabola defined by the given quadratic function.f(x) = -7(x - 5)2 - 8
A. (5, -8)
B. (-5, -8)
C. (-7, -5)
D. (-8, 5)
Answer: A
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Solve the problem.The linear function f computes the distance y in miles between a car and the city of Vancouver after x hours, where The graphs of f and the horizontal lines
and
are shown in the figure. (i) When is the car 90 to 180 miles from Vancouver? (ii) when is the car's distance from Vancouver less than 180 miles.
A. between 3 and 8 hours after departure; after it has traveled 1 hour B. before it has traveled 7 hours; between 7 and 8 hours after departure C. after it has traveled 1 hour; before it has traveled 7 hours D. between 1 and 7 hours after departure; before it has traveled 7 hours
Find the relative extrema, if any, of Use the Second Derivative Test, if possible.
a. relative minimum: none, relative maximum: f(ln3) = ?7ln7 b. relative minimum: f(ln7) = 4 ? 7ln7, relative maximum: none c. relative minimum: f(ln3) = ?7ln7, relative maximum: none d. relative minimum: none, relative maximum: f(ln7) = 4 ? 7ln7
Write the decimal as a fraction or mixed number in lowest terms.0.88
A.
B.
C.
D.
Find the derivative of the function.r = (sec ? + tan ?)-3
A. -3(sec ? tan ? + sec2?)-4
B. -3(sec ? + tan ?)-4(tan2 ? + sec ? tan ?)
C. -3(sec ? + tan ?)-4
D.