Solve the problem.The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The restoring force F, in Newtons, acting on a string pendulum is given by the formula F = mg sin?where m is the mass in kilograms of the pendulum's bob, g ? 9.8 meters per second per second is the acceleration due to gravity, and ? is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m = 0.9 kilogram and ? = 45°? If necessary, round the answer to the nearest tenth of a Newton.
A. 6 N
B. 6.2 N
C. 5.9 N
D. 7.5 N
Answer: B
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Calculate the surface area of the given surface.The surface f(x,y) = x2 + y2, -1 ? x, y ? 2. (Hint: Do the first integral by substitution or using a formula from the Table of Integrals. Use numerical integration to do the outer integral.)
A. 35.5222 B. 18.4734 C. 25.3332 D. 29.3516
Multiply.(8 + 4x)(-3 + 4x)
A. 4x2 + 20x + 20 B. 16x2 + 20x - 24 C. 16x2 - 24x + 20 D. 16x2 + 19x - 24
Provide an appropriate response. If the digit to the right of the number that you are rounding is less than 5:
A. keep the number the same B. round the number up C. round the number down D. add 1 to the number
Determine the number of terms and identify the coefficient of each term of the expression.-y - 4y2 + 
y3
A. 3; 1, 2, 3
B. 3; -1, -4, 5
C. 2; -4, 
D. 3; -1, -4, 