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To find how much time the ball spends above 29.4m, we need to find the times at which the ball is at 29.4m above its starting point, and then calculate the difference between these times. Ac...

The main difference is that order of objects matters for permutations. Both involve choosing k objects from a group of size n. Permutations are used to ...

tan(x)+tan(45)/1-tan(x)tan(45) = 8tan(x)

8tan²(x)-7tan(x)+1=0

tan(x)=0.6952 or 0.1798

x = arctan(0.6952) = 34.8070 deg and arctan(0.1798) = 10.1932 deg

Using the substitution u = x³+1 the answer can be found 

(x³+1)⁷/7 + C

A quadratic equation has two equal roots when its discriminant is equal to 0. Calculating the discriminant of the given equation: D = k² - 4(k-1)(2k-3) = k² - 8k²+20k-12...