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10. A rectangular storage container with an open top is to be a volume of 14??^3. The length of the base is 3 times the width. Material for the base costs $12 per square foot and material for the sides costs $8 per square foot. Determine the dimensions that would yield the cheapest such container. Round answers to the nearest tenth and include units.

6. Find the most general antiderivative. a. f(x) = ax5 + -x3 - 4bx + 12 = b. g(x) = b sin(x)=_ c. h(x) = =+ d= 7. Sketch a curve with these characteristics. Label graphs clearly. a. Continuous on [1,4] with an absolute max at 1, absolute min at 4, local min at 2, local max at 3. b. f'(x) > 0 and f"(x)