Evaluate the integral.



a. 1/2

b.

c. -1/4

d. 1/4

e. divergent


e. divergent

Mathematics

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Sides in pair of figures are proportional. Find missing length(s).Give your answers as mixed numbers if appropriate.

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B. x = 11, y = 13, z = 5
C. x = 11, y = 13, z = 5
D. x = 8, y = 9, z = 6

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Determine the real solutions to the system of nonlinear equations.2x2 + y2 = 173x2 - 2y2 = -6

A. (1, 3), (-1, -3) B. (2, 3), (2, -3), (-2, 3), (-2, -3) C. (1, 3), (1, -3), (-1, 3), (-1, -3) D. (2, -3), (-2, 3)

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Choose the right conclusion for the given statement and premise.

Post Hoc (False Cause) Fallacy   Yesterday it was raining, and today my car has broken down. Therefore, the rain caused the damage.   Premise: Yesterday it was raining, and today my car has broken down. a.  Conclusion: The rain was strong enough to break the car. b.  Conclusion: The car can break down because of rain. c.  Conclusion: The rain caused the damage. d.  Conclusion: The car broke down yesterday.

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Solve the problem.A ball is thrown vertically upward from the ground at a velocity of 93 feet per second. Its distance from the ground after t seconds is given by  How fast is the ball moving 3 seconds after being thrown? 

A. -12 ft per sec B. -3 ft per sec C. 135 ft per sec D. 45 ft per sec

Mathematics