For Exercises 95—96, find the average rate of change on the given interval. Give theexact value and an approximation to 4 decimal places. Verify that your results arereasonable by comparing the results to the slopes of the lines given in the graph. 95. f ( x ) = sin x a. [ 0 , π 6 ] b. [ π 6 , π 3 ] c. [ π 3 , π 2 ]
For Exercises 95—96, find the average rate of change on the given interval. Give theexact value and an approximation to 4 decimal places. Verify that your results arereasonable by comparing the results to the slopes of the lines given in the graph. 95. f ( x ) = sin x a. [ 0 , π 6 ] b. [ π 6 , π 3 ] c. [ π 3 , π 2 ]
Solution Summary: The author calculates the average rate of change of f(x)=sinx on the interval
For Exercises 95—96, find the average rate of change on the given interval. Give theexact value and an approximation to 4 decimal places. Verify that your results arereasonable by comparing the results to the slopes of the lines given in the graph. 95.
f
(
x
)
=
sin
x
50. The figure shows the graphs of f, f', and f". Identify each
curve, and explain your choices.
Let f(x) = x² – 4x + 7.
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a. Find the values of x for which the slope of the curve y = f(x) is 0.
b. Find the values of x for which the slope of the curve y = f(x) is - 10.
a. The slope of the curve is 0 at x = 2.
(Simplify your answer. Use a comma to separate answers as needed.)
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b. The slope of the curve is - 10 at x =
(Simplify your answer. Use a comma to separate answers as needed.)
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The figure (attached) shows that P(x, y) is a point on the graph of y = 1 - x2. Express the distance, d, from P to the origin as a function of the point’s x-coordinate.
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