Decide whether the graph opens up or opens down.f(x) = -x2 - 6x + 3

A. opens up
B. opens down


Answer: B

Mathematics

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Use differentials to estimate the amount of metal in a closed cylindrical can that is 12 cm high and 8 cm in diameter if the metal in the top and bottom is 0.09 cm thick and the metal in the sides is 0.01 cm thick. (rounded to the nearest hundredth.)

a. 8.34 cm³ b. 6.99 cm³ c. 6.91 cm³ d. 6.7 cm³ e. 12.06 cm³

Mathematics

Find the curvature of the space curve.r(t) = (t + 8)i + 6j + (ln(sec t) + 3)k

A. ? = csc t B. ? = sin t C. ? = sec t D. ? = cos t

Mathematics

Given that the polynomial function has the given zero, find the other zeros.f(x) = x4 - 4x3 + 2x2 - 4x + 1; i

A. -i, 2 + , 2 - 
B. -i, 2 + 2, 2 - 2
C. -i, -2 + , -2 - 
D. -i, 1 + , 1 - 

Mathematics

Find the inverse of the one-to-one function. y = 5x + 2

a.
b.
c.
d.
e. none of the above

Mathematics