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Mark G.

Teach and tutor Math fo 40 years

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Trigonometry

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Question:

Solve the equation: 2sin(x)-1=0 in the interval [0,2 π].

Mark G.

Answer:

sin(x)=1/2 so there are two answers in the specified interval: x=π/6 and x=5π/6.

Calculus

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Question:

Find the 1st derivative of the function f(x)=x^2-3x+5.

Mark G.

Answer:

dy/dx=2x-3.

Statistics

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Question:

Find the probability of rolling 2 distinguishable dice where one die shows a 3 and the other die shows a number less that 4.

Mark G.

Answer:

The event would consist of the set of ordered pairs: { (1,3) (2,3) (3,3) (3,2) (3,1) }. This is 5 possibilities out of the 36 member sample space, therefore the probability would be 5/36.

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