Determine the number of terms in the given polynomial. -9y5 + 5y - 5y3 - 4
A. 5
B. 3
C. 4
D. -9
Answer: C
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Find the area or volume.Find the volume of the solid generated by revolving the region under the curve in the first quadrant about the y-axis.
A. 64? B. 8?3 C. 8? D. 4?
Solve the problem.Find an upper bound for the error in estimating using Simpson's Rule with n = 6 steps.
A.
B.
C.
D.
Let C be a smooth curve defined by r(t) = 2i+3tj+2tk, and let T(t) and N(t) be the unit tangent vector and unit normal vector to C corresponding to t. The plane determined by T and N is called the osculating plane. Find an equation of the osculating plane of the curve described by r(t) at t = 1.
a. z=2 b. y=3 c. 2x+3y+2z=1 d. x=2
Solve the problem.The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from the center of the earth. If a person weighs 180 pounds on the surface of the earth and the radius of the earth is 3900 miles, what will the person weigh if he or she is 150 miles above the earth's surface? Round your answer to the nearest hundredth of a pound.
A. 168.31 lb B. 166.41 lb C. 166.91 lb D. 167.31 lb