Which of the following is a definition of a rotational transformation?
?
A. ?The shape moves along a horizontal or vertical line.
B. ?The shape flips about a horizontal, vertical, or diagonal line.
C. ?The shape rotates n? about a point or a line.
D. ?The shape rotates 90? about a point or a line.
E. ?The shape stays in one location and rotates 180?.
Answer: C
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If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the acceleration vector.r(t) = (4 cos t)i + (8 sin t)j
A. a = (-4 cos t)i + (-8 sin t)j B. a = (4 sin t)i + (8 cos t)j C. a = (4 cos t)i + (8 sin t)j D. a = (-4 sin t)i + (-8 cos t)j
Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method.The region in the first quadrant bounded by x = 3y - y2 and the y-axis about the line x = -1
A. ?
B. ?
C. ?
D. ?
Provide an appropriate response.The range and standard deviation of the data set below are 35 and 12.47 respectively.5, 24, 25, 26, 40If the 26 is replaced with 39, how will this affect the range? How will this affect the standard deviation. Use your answers to explain why the standard deviation is preferable to the range as a measure of variation.
What will be an ideal response?
Subtract.28 - (-59)
A. 87 B. -87 C. 31 D. -31