Tutor profile: Augustas Z.
What are the x values that satisfy: sin(x) + cos(x) = 1?
The answers are: x = 2 Pi*n, and x = 1/2(4 Pi*n + Pi), where n is an integer.
What is the derivative of x^5 * sin(x)?
It's x^4 (5 sin(x) + x cos(x))
What is the value of the 65th percentile of a normal distribution with a mean of 20 and a standard deviation (sd) of 2.
The answer is 20.77 (rounded to the nearest hundredth). First, use the z-table to find the z-value for the 65th percentile. Second, solve the following equation for x: x = mean + z-value*sd. X is the value that we are looking for.
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