Differentiate.f(x) = 
at x = -1Enter a reduced fraction only.
Fill in the blank(s) with the appropriate word(s).
(-5/18)
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Write the vector in the form ai + bj. 
A. 6i - 5j B. 6i + 5j C. 5i + 6j D. -5i + 6j
Describe the graph of the polar equation.r2 + 2r2sin ? cos ? = 121
A. Two horizontal lines passing through (0, ±11) B. Parabola opening to the right with vertex at (11, 0) C. Parabola opening upward with vertex at (0, 11) D. Two straight lines of slope -1, y-intercepts (0, ±11)
Solve.A painting was sold in 1985 for $ 2 million. The painting was then resold in 1996 for $ 6 million. Assume that the painting's value increases exponentially. Find the exponential growth rate k, and determine the exponential growth function, assuming V0 = 2. (Round decimals to three places.)
A. k = 0.1; V(t) = 2e0.1t, where V(t) is in millions and t is the number of years after 1985. B. k = 0.1; V(t) = 2e0.1t, where V(t) is in millions and t is the number of years after 1997. C. k = 0.092; V(t) = 2e0.092t, where V(t) is in millions and t is the number of years after 1985. D. k = 0.1; V(t) = 2e0.1, where V(t) is in millions and t is the number of years after 1985.
Solve the system. Express the solution in the form (x, y, z, w). 5x - 6z + w = 4-x + 5y + z - 5w = 8 2x - y + 6w = -21 y - 5z - w = -3
A. {(3, -3, 1, -5)} B. {(-3, 3, 3, -6)} C. {(2, -1, -1, 0)} D. {(1, -3, -7, -5)}