Suppose that one leg of a right triangle is 1 foot shorter than the other leg. The hypotenuse is 1 foot longer than the longer leg. Find the lengths of all three sides of the right triangle.
A. 1 feet, 5 feet, 6 feet
B. 3 feet, 4 feet, 5 feet
C. 5 feet, 6 feet, 7 feet
D. 4 feet, 5 feet, 6 feet
E. 1 feet, 6 feet, 6 feet
Answer: B
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Solve the problem.If sin ? = 
, ? in quadrant II, find the exact value of cos
A. - 
B. 
C. 
D. 
Find the domain and the vertical asymptote of the function.f(x) = ln (-1 - x)
A. Domain: (1, ?); vertical asymptote: x = 1 B. Domain: (-1, ?); vertical asymptote: x = -1 C. Domain: (-?, -1); vertical asymptote: x = -1 D. Domain: (-?, 1); vertical asymptote: x = 1
Determine whether the function is continuous.
A company has the Cobb-Douglas production function 
, where x is the number of units of labor, y is the number of units of capital, and z is the units of production. Suppose labor costs $200 per unit, capital costs $150 per unit, and the total cost of labor and capital is limited to $300,000. Find the number of units of labor and the number of units of capital that maximize production.
?
A. 1,500 units of labor; 2,000 units of capital B. 1,200 units of labor; 2,000 units of capital C. 1,500 units of labor; 400 units of capital D. 1,200 units of labor; 400 units of capital E. 12,000 units of labor; 4,000 units of capital