Identify the interval where y = x3 + 3x2 - 2x + 4 is decreasing.

1 answer:

3 0

Please be certain to use the symbol "^" to denote exponentiation. Your function y should be written as

y = x^3 + 3x2 - 2x + 4.

Principle: if the derivative of a function is negative on a certain x-interval, the function is decreasing on that interval. Thus, you must differentiate the given function: find dy/dx. Set this dy/dx = to 0 and solve the resulting equation for x. Set up intervals on the # line based upon your solutions.
For example, if x=-1 and x=2, then set up 3 intervals: (-infinity,-1), (-1,2), and (2, infinity). Looking at each interval separately, identify the interval or intervals on which the derivative dy/dx is negative.

This is a critically important skill in calculus and well worth the time and effort required to learn it.

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A soft drink machine outputs a mean of 24 ounces per cup. The machine's output is normally distributed with a standard deviation

Arisa [49]

Answer:

$P(21$

And we can find the probability with this difference

$P(-1$

And using the normal standard distribution or excel we got:

$P(-1$

Step-by-step explanation:

Let X the random variable that represent the soft drink machine outputs of a population, and for this case we know the distribution for X is given by:

$X \sim N(24,3)$