Perform the indicated operation. Assume that variables represent positive numbers.
? 
A. 
B. 21
C. 3
D. 3
Answer: D
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Provide an appropriate response.Find the extrema of f(x, y, z) = x + yz on the line defined by x = 3(8 + t), y = t - 3, and z = t + 8. Classify each extremum as a minimum or maximum. (Hint: w = f(x, y, z) is a differentiable function of t.)
A. (36, 1, 12), minimum B. (12, -7, 4), minimum; (36, 1, 12), maximum C. (12, -7, 4), minimum D. (36, 1, 12), minimum; (0, -3, 0), minimum
Divide and simplify.
÷ 
A. 
B. 
C. 
D. 
“A town has two hospitals. On the average, there are 45 babies delivered each day in the larger hospital. The smaller hospital has about 15 births each day. Fifty percent of all babies born in the town are boys. In one year each hospital recorded those days in which the number of boys born was 60% or more of the total deliveries for that day in that hospital. Do you think it’s more likely that the larger hospital recorded more such days than the smaller hospital or that the two recorded roughly the same number of such days?” (Merseth, 2003, p. 69).
a. Larger hospital b. Smaller hospital c. Same number d. Impossible to determine
Analyze the graph of the given function f as follows:(a) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.(b) Find the x- and y-intercepts of the graph.(c) Determine whether the graph crosses or touches the x-axis at each x-intercept.(d) Graph f using a graphing utility.(e) Use the graph to determine the local maxima and local minima, if any exist. Round turning points to two decimal places.(f) Use the information obtained in (a) - (e) to draw a complete graph of f by hand. Label all intercepts and turning points.(g) Find the domain of f. Use the graph to find the range of f.(h) Use the graph to determine where f is increasing and where f is decreasing.f(x) = x2(x2 - 4)(x + 4)
What will be an ideal response?