Solve the problem.Find the equation of the line which contains P(1, 3) and which is parallel to the x-axis.
A. x = 3
B. x = 1
C. y = 1
D. y = 3
Answer: D
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Answer the question.Consider a function f(x, y, z), where the independent variables are constrained to lie on the curve 
(t) = x(t)i + y(t)j + z(t)k. What mathematical fact forms the basis for the method of Lagrange multipliers?
A. ?f?
= 0
B. ?f??g = 0
C. ?g = 0
D. f approaches a local extremum as ? ? 0.
Solve the problem. Round to an appropriate number of significant digits.In one study the maximum heart rates of conditioned athletes were examined. A group of athletes was exercised to exhaustion. Let x represent an athlete's heart rate five seconds after stopping exercise and y represent an athlete's heart rate ten seconds after stopping exercise. It was found that the maximum heart rate H for these athletes satisfied the following two equations. H = 0.491x + 0.468y + 11.2 H = -0.981x + 1.872y + 26.4If an athlete had maximum heart rate H = 155, determine the value of x graphically.
A. x = 151.9 B. x = 152.2 C. x = 151.1 D. x = 151.6
Find the product.(3x - 1)(4x5 - 3x3 + 4x2 - x + 4)
A. 12x6 - 4x5 - 9x4 + 9x3 - 7x2 + 11x + 4 B. 12x6 - 9x4 + 12x3 - 3x2 + 12x - 1 C. 12x6 - 4x5 - 9x4 + 15x3 - 7x2 + 13x - 4 D. 12x5 - 4x4 - 9x3 + 15x2 + 13x - 4
The converse of the statement "If it rains, then I stay at home." is:
A. If I stay at home then it rains. B. If I do not stay at home then it does not rain. C. If it does not rain then I do not stay at home. D. If it rains, I do not stay at home.