Consider the function . (a) Find the intervals on which f is increasing or decreasing. (b) Find the relative maxima and relative minima of f.

What will be an ideal response?


(a) decreasing on (??, 0) and increasing on (b) relative minimum: f(0) = 0, relative maximum:

Mathematics

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Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.f(x) =  between x = 4 and x = 6 using an left sum with two rectangles of equal width.

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B.
C.
D.

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Solve the problem. Write ratios in lowest terms.A baseball team ended its season with a ratio of losses to wins of  2 to 3. What fraction of their games did they win?

A.
B.
C.
D.

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Rewrite the system of inequalities, adding slack variables or subtracting surplus variables as needed.15x1 + 3x2 ? 5412x1 + 6x2 ? 72

A. 15x1 + 3x2 - s1 = 54   12x1 + 6x2 - s2 = 72 B. 15x1 + 3x2 + s1 = 54 12x1 + 6x2 - s2 = 72 C. 15x1 + 3x2 - s1 = 54 12x1 + 6x2 + s2 = 72 D. 15x1 + 3x2 + s1 = 54 12x1 + 6x2 + s2 = 72

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Find the standard form of the equation of a circle that satisfies the given conditions.Center at (0, -7); radius 1

A. (x - 7)2 + y2 = 1 B. x2 + (y - 7)2 = 1 C. (x + 7)2 + y2 = 1 D. x2 + (y + 7)2 = 1

Mathematics