Provide an appropriate response.If y = (x2 + 3x + 1)2, then y'' =

A. 2(6x2 + 18x + 11).
B. 2(3x2 + 9x + 5).
C. (2x + 3)2.
D. 8(2x + 3)2.
E. 4.


Answer: A

Mathematics

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Solve.The longitudinal shrinkage SL (in mm) that occurs during welding is given by the formula  where I is the welding current in amperes, L is the length of the weld in millimeters, and t is the thickness of the plate in millimeters. Suppose an electrode is welded at 175 amp, the length of the weld is 310 mm, and the plate is 10 mm thick. Calculate the longitudinal shrinkage that occurs during welding.

A. 0.115 mm B. 0.035 mm C. 0.235 mm D. 0.165 mm

Mathematics

Use the accompanying graph of a particle moving on a coordinate line with velocity v = f(t) in ft/sec at time t seconds. The axes are marked off at one-unit intervals. Use these terms to describe the motion state: moving forward/backward, increasing/decreasing speed, and resting. Recall that speed = Give the interval(s) when the speed of the particle is decreasing.

A. (6, 11), (15, 21), and (23, 25) B. (6, 11), (15, 17), and (23, 25) C. (6, 8), (11, 19), and (23, 25) D. (6, 8), (15, 19), and (23, 25)

Mathematics

Solve the problem.At a fixed temperature, the resistance R of a wire varies directly as the length l and inversely as the square of its diameter d. If the resistance is 1.2 ohm when the diameter is 1 mm and the length is 240 cm, what is the resistance when the diameter is 4 mm and the length is 1870 cm?

A. 0.584 ohm B. 140.25 ohm C. 2.338 ohm D. 116.875 ohm

Mathematics

Solve.Find the difference in temperature between 13°F during the day and -4°F. at night. 

A. -9°F B. -17°F C. 9°F D. 17°F

Mathematics