I need the following problems worked out in Microsoft Word with equation editor. See the attached file.
Find the Max and Min. values attained by the function (fig 1.1) on the interval [0,2]
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?
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.
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?
Find the open intervals on the x-axis on which the function (Figure 5.1) is increasing and those on which it is decreasing.
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)?
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.
Graph f(x). Identify all extrema, inflection
points, intercepts, and asymptotes. Show the concave structure clearly and note any discontinuities.
This shows how to find maximum and minimum values