Find an equation of the tangent line to the curve at the point (1, ?).


c.

Mathematics

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Use the Trapezoidal Rule with n = 4 steps to estimate the integral.

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Mathematics

Find the slowest growing and the fastest growing functions as y = 3x10y = exy = ex-4y = xex

A. Slowest: y = xex Fastest: y = ex B. Slowest: y = 3x10 Fastest: y = xex C. Slowest: y = 3x10 Fastest: y = ex and y = ex-4 grow at the same rate. D. Slowest: y = ex-4 Fastest: y = xex

Mathematics

When a rock falls near the surface of Earth, it will fall feet in t seconds. ? A:  Make a graph of distance fallen versus time for up to 10 seconds. ? B:  How long will it take the rock to fall 68 feet? Round your answer to two decimal places if necessary. ? C:  If the time falling is doubled, how is distance fallen affected? ?

What will be an ideal response?

Mathematics

Solve the problem.A salesperson packed 3 shirts and 6 ties. With one shirt, he could wear all 6 ties. With another shirt, he could wear 5 ties. With the third shirt, he could wear only 3 ties. How many different combinations did he have?

A. 90 combinations B. 13 combinations C. 33 combinations D. 14 combinations

Mathematics