Determine E [X Y]. Note that X and Y are dependent. Show that X and Y are uncorrelated. Determine Var(X + Y). Determine Var(X – Y).

Q: Let f (x) + 4. Evaluate f (-8). 2 (2 f(-8) = Number

A:

Q: In music, when going up an octave you double the frequency. For instance, if one note has a…

A: 1) Given that when going up an octave we double the frequency. If one note has a frequency of 400…

Q: 8) f(x)= x³ + x²; Find f(-6) 3120 - x; Find w(-4) 10) w(x)=-3x²- (2--2-2; Find 12) h(x) = 4x + 3;…

A: We can evaluate each of the function in the below steps.

Q: If the value of b is 3, the values of x are -4, -2, 0 ,2 and 4, and the values of h are -2, -1, 1,…

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Q: Differenti ate each function ) y= V+ In (+*)

A: This question is based on chain rule differentiation.

Q: Find the value of the constant k that makes the function continuous.

A: Given: h(x)=3x2+2x-8x+2 if x≠-23x+k            if x=-2

Q: Describe differences between (fog)(x) and (gof)(x). Give examples

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Q: Evaluate the function at the points (-8, 0), (6, -6), and (0,24). k(x, y) = xe-3 (Express numbers in…

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Q: Find the domain of each function

A: Given: hx=xx To Find: The domain of the given function

Q: following table. Procurement Cost($) 10 11 12 on is Probability 0.25 0.45 0.30 Labor Cost ($) 20 22…

A: Given data: Procurement cost Probability Labor cost Probability Transportation cost Probability…

Q: Let f (x) = + 6 . Evaluate f(-6). 2 (2 f(-6) = Number || 1/2

A: Given f(x)=-1212x+6   To Evaluate f(-6)=

Q: Determine the interval(s) where the function ƒ(x) = −(x − 5)² is increasing. Submit your answer in…

A:

Q: dC dL If 3C +6L-CL2 determine-, where L is an independent variable and C is a function of L

A: The equation in terms of L and C, is

Q: Use the derivitive rule to find the derivitive of the following function y = x2 - 2ax + a2 all…

A: We have to find the derivative of the following function y = x2-2ax+a2x-1 Here function is of type y…

Q: Let f = {(5,3),(8,9),(3,8)} and g = 5x +4. Find f(3) + g(3). %3D

A: Given that f = { (5, 3), (8, 9), (3, 8) } Clearly we can say that f(3) = 8 as (3,8) belongs to f

Q: Help: Suppose X ∼ Unif(a, b). Find Var(X).

A: Suppose X ∼ Unif(a, b).

Q: The functiong (x) = |x² – 16| + 5is differentiable everywhere except where x = Type the value of x.…

A: Consider the function g(x)=|x2-16|+5. This can be written as g(x)=x2-16+5, if x≤-4-x2-16+5, if…

Q: You are given a two dice with 4 sides each, with equal probability of landong on all sides. Dice one…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: