Without graphing, find the vertex.f(x) = (x + 2)2 - 5

A. (2, 5)
B. (2, -5)
C. (-2, -5)
D. (-2, 5)


Answer: C

Mathematics

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Find the limit L for the given function f, the point x0, and the positive number ?. Then find a number ? > 0 such that, for all x, f(x) = , x0 = 2, ? = 0.4

A. L = 2; ? = 0.48 B. L = 2; ? = 0.59 C. L = 3; ? = 0.48 D. L = j-1; ? = 0.21

Mathematics

Find the indicated probability. Round your answer to 6 decimal places when necessary.The probability that a particular region in Mexico will be hit by a hurricane in any given year is 0.06. Find the probability that the region will be hit by a hurricane in 3 consecutive years.

A. 0 B. 0.000216 C. 0.18 D. 0.0036

Mathematics

The position vector of a particle is r(t). Find the requested vector.The velocity at t = 0 for r(t) = cos(4t)i  + 7ln(t - 5)j - k

A. v(0) = -j
B. v(0) = j
C. v(0) = -4i - j
D. v(0) = 4i - j

Mathematics

Graph the function.f(x) = 

A.

B.

C.

D.

Mathematics