The function f is one-to-one. Find its inverse.f(x) = x2 - 3, x ? 0
A. f-1(x) = + 3, x ? 0
B. f-1(x) = , x ? -3
C. f-1(x) = , x ? 3
D. f-1(x) = + 3, x < 0
Answer: B
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The question(s) that follow refer to the problem of finding the minimum spanning tree for the weighted network shown below.
Using Kruskal's algorithm, which edge should we choose third?
A. EG B. BG C. EF D. AG E. none of these
Solve the problem.Find an equation of the tangent to the curve f(x) = 2x2 - 2x + 1 that has slope 2.
A. y = 2x + 1 B. y = 2x + 2 C. y = 2x D. y = 2x - 1
Form a polynomial f(x) with real coefficients having the given degree and zeros.Degree: 5; zeros: 2, -3i, and 4 - i
A. f(x) = x5 - 10x4 - 42x3 -124 x2 + 297x + 306 B. f(x) = x5 - 10x4 + 42x3 -124 x2 + 297x - 306 C. f(x) = x5 - 10x4 + 26x3 -124 x2 + 72x + 306 D. f(x) = x5 - 10x4 + 26x3 -124 x2 - 72x - 306
The parametric equations of four curves are given. Graph each of them, indicating the orientation.C1: x = 7sin t, y = 7 - 7cos2 t; ? t ?
C2: x = ln t, y = ln t2; e-4 ? t ? e3C3: x = t2 - 8, y = t - 3; -4 ? t ? 4C4: x = t - 5, y = t + 2; -4 ? t ? 7
What will be an ideal response?