Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic defined by the function
below.
?
?
A. ?
B. ?
C. ?
D. ?
E. ?
?
Answer: A
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Solve the problem.Let D be the smaller cap cut from a solid ball of radius 9 units by a plane 2 units from the center of the sphere. Set up the triple integral for the volume of D in cylindrical coordinates.
A.
B.
C.
D.
Express the vector as a product of its length and direction.i -
j +
k
A.
B.
C.
D.
Use the vectors in the figure below to graph the following vector. z - v
A.
B.
C.
D.
Solve the problem.The velocity v of a meteorite approaching the earth is given by kilometers per second, where d is the meteorite's distance from the center of the earth and k is a constant. What is the velocity of a meteorite that is 2000 kilometers away from the center of the earth, if
Give your answer as a simplified radical.
A. kilometers per second
B. kilometers per second
C. kilometers per second
D. 3000 kilometers per second