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.
Mathematics
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Evaluate the integral by making a substitution and then using a table of integrals.
A. ln 
- sin t + C
B. ln 
- sin t + C
C. ln 
+ cos t + C
D. ln 
+ sin t + C
Mathematics
Solve the problem.The gravitational attraction A between two masses varies inversely as the square of the distance between them. If the force of attraction is 
when the masses are 
apart, what is the attraction when the masses are 
apart?
A. 4 lb B. 1 lb C. 3 lb D. 2 lb
Mathematics
Find the sum.34 + 21 + 21
A. 76 B. 67 C. 58 D. 94
Mathematics
Solve the problem.If sin ? = 0.2, find sin (? + ?).
A. 0.2 B. -0.2 C. -0.8 D. 0.8
Mathematics