Find the length of the unknown side of the right triangle. In each case, a and b represent the lengths of the legs and c represents the length of the hypotenuse.
b = 9, c = 15; find a
A. 14
B. 12
C. 15
D. 11
Answer: B
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Find T, N, and B for the given space curve.r(t) = (7 + t)i + (9 + ln(sec t))j - 7k, -?/2 < t < ?/2
A. T = (-cos t)i - (sin t)j; N = (sin t)i - (cos t)j ; B = -k B. T = (cos t)i - (sin t)j; N = (-sin t)i - (cos t)j ; B = -k C. T = (-cos t)i - (sin t)j; N = (-cos t)i + (sin t)j ; B = k D. T = (cos t)i + (sin t)j; N = (- sin t)i + (cos t)j ; B = k
Complete the magic (addition) square. A magic square has the property that the sum of the numbers in any row, column, or diagonal is the same.Use each number 16, 17, 18, 19, 20, 21, 22, 23, and 24 once.
A. 
B. 
C. 
D. 
Solve the problem.A rectangular box is to be inscribed inside the ellipsoid 
Find the largest possible volume for the box.
A. 12
B. 15
C. 18
D. 16
Provide an appropriate response.A company must fill an order for 200 units of its product. It wishes to distribute the production between its two plants, plant A and plant B. The total cost function isc = 300qA + 200qB + 
+ 8000, where qA and qB are the number of units produced at plant A and plant B, respectively. To minimize costs, plant A and plant B should produce
A. 50 units and 150 units, respectively. B. 100 units and 100 units, respectively. C. 175 units and 25 units, respectively. D. 150 units and 50 units, respectively. E. 25 units and 175 units, respectively.