Solve the problem.Use determinants to find the area of the triangle with vertices (-5, -3), (5, 0), and (-1, 5).
A. 35.0
B. 34.0
C. 35.5
D. 34.5
Answer: B
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Find the length of the curve.The curve r = a cos2 
, 0 ? ? ? ?, a > 0
A. 2a
B. 
C. 2?a
D. 
Find all real numbers in the interval [0, 2?) that satisfy the equation.2 tan2x - 3 sec x = 0
A. 
B. 
C. No solution
D. 
Let p represent 7 < 8, q represent 2 < 5 < 6, and r represent 3 < 2. Decide whether the statement is true or false.(~r ? ~q) ? (~r ? q)
A. True B. False
Solve the problem. Round your answer, if appropriate.Water is being drained from a container which has the shape of an inverted right circular cone. The container has a radius of 6.00 inches at the top and a height of 10.0 inches. At the instant when the water in the container is 7.00 inches deep, the surface level is falling at a rate of 1.2 in./sec. Find the rate at which water is being drained from the container.
A. 66.5 in.3/s B. 96.1 in.3/s C. 63.5 in.3/s D. 79.2 in.3s