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Please answer both and explain the steps! 1. On what interval is the function F(x)=(1//2x^2)-ln(3...

Please answer both and explain the steps!

1. On what interval is the function F(x)=(1//2x^2)-ln(3x), x>0, Increasing?

2. A baseball diamond is a square with a side of 90ft. Tucker hits the ball and runs towards first base at 16ft/sec. How fast is the distance between second base and tucker changing when he is 30ft from the first base?

A.8.875 ft/sec

B. 5.060 ft/sec

C.-5.060 ft/sec

D. -8.875 ft/sec

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Answer #1

Remember- the function is increasing if it's first derivative is positive.

3-1 2x 3x. as we have χ>0. (0493 ,お· ヤ op 09m Seond ase o avew ズー (3oft (992

94.8 Sec

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