Let x denote the amount of gravel sold (in tons) during a randomly selected week at a particular sales facility. Suppose that the density curve has height f(x) above the value x where x) - 2(1 - x) Osxs1 otherwise. The density curve (the graph of f(x)) is shown in the following figure. Density Gravel (tons) Use the fact that the area of a triangle -(base)(height) to calculate each of the probabilities. (Hìnt: Drawing a picture and shading the appropriate area will help.) (a) The probability that gravel sold exceeds ton. (b) The probabllity that gravel sold is at least ton. 2.

Q: Directions: Differentiate the following functions. 5.) y = In(x* + 5) 6.) f(x) = x*e3% %3D

A: 5)y=lnx4+56) fx=x4e3xTo find its differentiation

Q: find the extrema (minimum and maximum) of f(x) = x2-1 on (-1,2). If none, explain why.

A:

Q: Define continuous variation

A: Let CV denote Continuous Variation.

Q: A function y with the property that y = -y" is

A:

Q: A simple curve that often makes a good model for the variable costs of a company, as a function of…

A: Given : a curve that makes a good model for the variable costs of the company and has the form -…

Q: The demand function for a certain make of exercise bicycle sold exclusive through cable television…

A:

Q: 12 f(x, y) = #(x² + xy), 0< x < 1, 0< y <1. + xy), 0 < x < 1, 0 < y < 1. 7

A:

Q: Can you clarify the first part again, does it mean that the relative maximum, minima, and horizontal…

A:

Q: Is w = 2² analytical function or not?

A: The given complex function is: w=2z

Q: ф(x, y, z) = e-y.e-%+17

A:

Q: Find the total area between the x-axis and the curve f(x)= = x = 1 and x = 9. O a.) (10ln5-5ln9)…

A:

Q: Which of the following graphs (a)-(d) could represent an antiderivative of the function shown in…

A: We need to determine the antiderivative of the function in the graph. We know that ∫xndx=xn+1n+1+C.

Q: Consider the function f(x)=x^5 - 5x^4 a. Find where the function is increasing and decreasing.…

A: Increasing and Decreasing functions : If f'(x)&gt;0 for every x on some interval ,then f(x) is…