Match the polynomial function with the graph.y = -2x3 - 4x2 + 24x + 15
A. 
B. 
C. 
D. 
Answer: C
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Identify the critical points. Then use the test of your choice to decide which critical points give a local maximum value and which give a local minimum value. Give these values.f(?) = cos 2?, 0 < ? < 
A. Critical point: 
; local maximum f
= 
B. Critical point: 0; local minimum f(0) = -1
C. No critical points; no local maxima or minima on the interval 
D. Critical points: 0, 
; local maximum f(0) = 1; local minimum f
= 0
Find the quadratic approximation of f at x = 0.f(x) = esin 8x
A. Q(x) = 8x + 32x2 B. Q(x) = 8x - 32x2 C. Q(x) = 1 - 8x + 32x2 D. Q(x) = 1 + 8x + 32x2
Find first four terms of the indicated expansion by use of the binomial series.(1 + x)-2
A. 1 - 2x + 3x2 - 4x3 + . . . B. 1 - 2x - 3x2 - 4x3 - . . . C. 1 + 2x + 3x2 + 4x3 + . . . D. 1 - 2x + 3x2 - 8x3 + . . .
Solve.The resistance of a wire varies directly as the length of the wire and inversely as the square of the diameter of the wire. A 20 foot length of wire with a diameter of 
has a resistance of 
What would the resistance be for a 
length, with diameter 
of the same kind of wire ?
A. 645 ohms B. 642.5 ohms C. 657 ohms D. 638 ohms