Determine whether the expression is a partial sum of an arithmetic or geometric sequence. Then find the sum.
2 + 4 + 6 + 8 + ... +100
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A 6-ft tall man is walking away from a street light 12 ft high at a speed of 6 ft/sec . How fast is the tip of his shadow moving along the ground? ? __________ ft/sec
Fill in the blank(s) with the appropriate word(s).
Answer the question about the given function or graph of a function. Find and classify all extrema of the function f(x) = x3 - 12x - 1.
A. Local minimum of 15 at x = -2; Local maximum of -17 at x = 2 B. Local maximum of 64 at x = 5; Local minimum of 8 at x = -3 C. Local maximum of 15 at x = -2; Local minimum of -17 at x = 2 D. Local maximum of 64 at x = 5; Local minimum of -17 at x = 2
Solve the polynomial equation using the zero product property.(x + 5)(4 - x)(x - 17) = 0
A. {5, 4, 17} B. {-5, 4, 17} C. {0, -5, 4} D. {-5, 4, -17}
Solve the problem.Sales (in thousands) of a certain product are declining at a rate proportional to the amount of sales, with a decay constant of 8% per year. By writing and solving a differential equation, determine how much time will pass before sales become 60% of their original value.
A. 5.7 years B. 7.3 years C. 6.8 years D. 6.4 years