The function f ( x ) = 2 x 3 − 39 x 2 + 180...

The function f ( x ) = 2 x 3 − 39 x 2 + 180 x + 3 f ( x ) = 2 x 3 - 39 x 2 + 180 x + 3 has one local minimum and one local maximum. Use a graph of the function to estimate these local extrema. This function has a local minimum at x x = with output value: and a local maximum at x x = with output value. my open math.

Expert Solution

milcah answered 2 months ago

Consider a distribution with the density function f(x) = x^2/3 for −1 ≤ x ≤ 2....

Consider a distribution with the density function f(x) = x^2/3 for −1 ≤ x ≤ 2. (a) Randomly pick a sample of size 20 from this distribution, find the probability that there are 2 to 4 (inclusive) of these taking negative values. (b) Randomly pick an observation X from this distribution, find the probability that it is between 1.2 and 1.4, i.e., P (1.2 < X < 1.4). (c) Randomly pick a sample of size 40 from this distribution, and...

5. Consider the function f(x) = -x^3 + 2x^2 + 2. (a) Find the domain of...

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For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the following, and...

For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the following, and use it to graph the function. Find: a)(2pts) Domain b)(2pts) Intercepts c)(2pts) Symmetry d) (2pts) Asymptotes e)(4pts) Intervals of Increase or decrease f) (2pts) Local maximum and local minimum values g)(4pts) Concavity and Points of inflection and h)(2pts) Sketch the curve

For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the following, and...

For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the following, and use it to graph the function. Find: a)(2pts) Domain b)(2pts) Intercepts c)(2pts) Symmetry d) (2pts) Asymptotes e)(4pts) Intervals of Increase or decrease f) (2pts) Local maximum and local minimum values g)(4pts) Concavity and Points of inflection and h)(2pts) Sketch the curve

Suppose that f is a differentiable function with derivative f" (x) = (x − 3)(x +...

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1. The function f(x, y) = ln(x3 + 2) / (y2 + 3) (this function is...

1. The function f(x, y) = ln(x3 + 2) / (y2 + 3) (this function is of a fraction format) : a. has a stationary point at (1, 0) b. has a stationary point at (0, 0) c. has a stationary point at (0, 1) d. has no stationary points 2. Which of the following functions don’t have unit elasticity at P = 6? a. Demand: Qd = 24 - 2 P b. Demand: Qd = 10/P c. Demand: log...

1.)is the function f (x) = x exp^ (-x ^ 2/2) a proper function of the...

1.)is the function f (x) = x exp^ (-x ^ 2/2) a proper function of the operator O= d2 / dx2-x2? if so, what is the intrinsic value? 2.)is the function f (x) = exp^ (4ix) -exp ^(-4ix) its own function of the operator d2 / dx2? if so, what is the intrinsic value? 3.)is the function f (x) = exp^ (2ix) -exp ^(-2ix) a proper function of the operator d^2 / dx^2? if so, what is the intrinsic value?...

Consider the function f(x) = x^3 / x − 2 1. Give the intervals of increase...

Consider the function f(x) = x^3 / x − 2 1. Give the intervals of increase and the intervals of decrease for f(x). 2. Give the location of any local maximums and local minimums on the graph of y = f(x). Give your answer(s) as a point, listing both the x-coordinates and y-coordinates. 3. List the intervals of concavity for f(x). 4. Identify any inflection points on the graph of y = f(x). Give your answer(s) as a point, listing...

a. For the following probability density function: f(X)= 3/4 (2X-X^2 ) 0 ≤ X ≤ 2 &nbsp

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1. (8pt) Consider the function f(x) = (x + 3)(x + 5)^2 √ (7 − x)...

1. (8pt) Consider the function f(x) = (x + 3)(x + 5)^2 √ (7 − x) whose first and second derivatives are f'(x) = ((x + 5)(139 + 12x − 7x^2))/2 √ (7 − x) , f''(x) = (35x^3 − 225x^2 − 843x + 3481)/ 4(7 − x)^3/2 . Note: 35x 3 − 225x 2 − 843x + 3481 has three roots: x1 ≈ 7.8835, x2 ≈ −4.3531 and x3 ≈ 2.8982. (a) (1pt) What is the domain of f(x)?...

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