Solve the problem.Find the derivative of the function 
at the point 
in the direction in which the function decreases most rapidly.
A. - 
B. - 
C. - 
D. - 
Answer: D
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A ramp is designed as shown below.The surfaces are to be made of 1" plywood.Then the top surface is to be covered with a non-slip coating. How much plywood is required? What area will be covered with the non-slip coating?
What will be an ideal response?
Approximate the area under the curve and above the x-axis using n rectangles. Let the height of each rectangle be given by the value of the function at the right side of the rectangle.f(x) = 3x2 - 2 from x = 1 to x = 5; n = 4
A. 140 B. 154 C. 144 D. 150
Solve the problem.The displacement d, in inches, from equilibrium of a weight suspended from a spring is given by d = 1 + 2 sin(15t)°where t in time in seconds. Find the displacement when t = 0, 2, 4, 6, 8, 10, and 12 seconds. Do not use a calculator.
What will be an ideal response?
Add or subtract as indicated. Express the answer as a single polynomial in standard form.(7x2 + 11x - 12) + (22x + 12)
A. 40x3 B. 7x2 + 33x C. 7x2 + 33x - 24 D. 7x2 + 11x + 24