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1. If f(x) = 53x, then f′(x) =
2. A solid is generated when the region in the first quadrant enclosed by the graph of y = (x2 + 1)3, the line x = 1, the x-axis, and the y-axis is revolved about the x-axis. Its volume is found by evaluating which of the following integrals?
4. If and y = 4 when x = 2, then when x = 3, y =
6. If f(x) = cos3 (x + 1), then f′(π) =
8. If f(x) = ln(ln(1 -x)), then f′(x) =
10. tab6x sec2xdx =