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Maximum and minimum values

I need the following problems worked out in Microsoft Word with equation editor. See the attached file.

Thank you,

Problem 1-

Fig. 1.1

Find the Max and Min. values attained by the function (fig 1.1) on the interval [0,2]

Problem 2-

Fig. 2.1

A mass of clay with a volume (fig. 8.1) is formed into two cubes. What is the minimum possible total surface area of the two cubes? What is the Max?

Problem 3-

Fig. 3.1

The equation fig (3.1) has 3 distinct real roots. Approximate their locations by evaluating f at -2,-1, 0, 1, and 2. Then use Newton's method to approximate each of the 3 roots to four-place accuracy.

Problem 4-

Fig 4.1

Sand falling from a hopper at (Figure 4.1) forms a conical sand pile whose radius is always equal to its height. How fast is the radius increasing when the radius is 5ft?

Problem 5-

Fig. 5.1

Find the open intervals on the x-axis on which the function (Figure 5.1) is increasing and those on which it is decreasing.

Problem 6-

Fig 6.1

What is the maximum possible volume of a right circular cylinder with a total surface area of Figure 6.1 (including the top and the bottom)?

Problem 7-

Fig. 7.1

Find the interval on which the function (Figure 7.1) is increasing and decreasing. Sketch the graph of y = f(x), and identify any local maxima and minima. Any global extrema should also be identified.

Problem 8-

Fig. 8.1

Find the exact coordinates of the inflection points and critical points of the function (Figure 8.1) on the interval (-10, 10).

Problem 9-

Graph f(x). Identify all extrema, inflection
points, intercepts, and asymptotes. Show the concave structure clearly and note any discontinuities.


Solution Summary

This shows how to find maximum and minimum values