Let pi = P(X = i) and suppose that p1 + p2 + p3 + p4 = 1. Suppose that E(X) = 2.5. (a) What values of p1, p2, p3, and p4 maximize Var(X)? (b) What values of p1, p2, p3, and p4 minimize Var(X)? (Don't Hand writing in solution) .

Q: 3. f(x)=-x^2+6x+5 the vertex is?

A: Given equation is

Q: Assume that it costs a manufacturer approximately C(x) = 800,000 + 340x + 0.0005x2 dollars to…

A: In this question, optimization technique is used. Optimization Technique using maxima and minima The…

Q: For the function f (x) = (*-2)* x+2 , find f-'(x).

A:

Q: inferpolatio shápe functions relevant for the 2D rectangular element shown below identifying the…

A: we are given a 2D rectangular element identifying the shape function for each node.   we will use…

Q: 4. What is f(a + b) if f(x) = 3x² − 2x + 5 5. Given the piecewise function if x≤3 f(x) = 2x+1,…

A:

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: Use the following functions to find (fof)(-3). ** Remember (fof)(-3) = f(f(-3)) *** S (7 Points)…

A:

Q: The area A of a triangle with two sides of equal length a is given by A = /P(P- a)²(P – b) where b…

A:

Q: The maximum number of turning points possible for f(x) = 3x" – 6z² + 5x – 31, is

A:

Q: For f(x)=12x¹0 −44x² −8x³ + 2x² - 6x³ +72x² -24x+8, compute f(2), roots of f(x) and plot for 0≤x≤ 30

A:

Q: Determine the global extreme values of the f (x, y) = 12x - 4y if y≥x-7, y ≥-x-7, y ≤ 7. (Use…

A:

Q: Suppose that f(x) = 3x² - 4x + 4 and Find the following: 1. (fog) (6) = Number 2. (fog)(0) = Number…

A:

Q: 4) Suppose that x thousand units of a product will be sold when the price is p(x) = -2x + 31 dollars…

A: Please see the explanation below

Q: h Ex) = 2000-0.32X K(X) = Jx2-8 m(x)=5+7x 3 %3D Em worl.mg 00: is behve hoKonm

A: h(x)= 2000 - 0.32x k(x)=√(x² - 8)  m(x)= 5+7x³

Q: 3x- 2 6. y(x)= X -1 y (x) = (x-1)?

A:

Q: Consider f(x) = 8x +3, g(x) = x³. fog= 2x^3+3 %3D go f = (2x+3)^3 f(x) = Vx² + 5, g(x) = x² + 6.…

A:

Q: With f(z) = 5z² – 7z – 2, find the following: a) f(2) b) f(1) + f(0) c) f(r+h) – f(r - h)

A:

Q: Suppose C(x)=x^2−6x+17 represents the costs, in hundreds, to produce x thousand pens. How many pens…

A: