Provide an appropriate response.A colleague asserts that a calculation of the average rate of change of y with respect to x from 
to 
will always be only an approximation to the instantaneous rate of change at 
Do you agree with this assertion? Explain your answer using graphs or examples.
What will be an ideal response?
No. If y = f(x) is a line, then the average and instantaneous rates of change are identical.
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Find the volume of the solid generated by revolving the region about the y-axis.The region enclosed by x = 
, x = 0, y = - 4, y = 4
A. 
?
B. 
?
C. 
?
D. 
?
Solve the system of linear equations and check any solution algebraically.
What will be an ideal response?
Determine the coordinates of the points shown. Tell in which quadrant the point lies. Assume the coordinates are integers.
A. (-6, -8); quadrant IV B. (-6, -4); quadrant III C. (-6, -8); quadrant III D. (-6, -4); quadrant IV
Use the Pythagorean Theorem to find the length of the missing side.Then find the indicated trigonometric function of the given angle. Give an exact answer with a rational denominator.Find sec ?.
A. 
B. 
C. 
D. 