Porcelain figurines are sold for $10 if flawless, and for $3 if there are minor cosmetic flaws. Of the figurines made by a certain company, 90% are flawless and 10% have minor cosmetic flaws. In a sample of 100 figurines that are sold, let Y be the revenue earned by selling them and let X be the number of them that are flawless. a) Express Y as a function of X. b) Find µY. c) Find σY.

Q: Evaluate the function shown, where ƒ is continuous on [3, 8], ƒ(3) = 4,and ƒ(8) = 20.

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Q: Does the following function satisfies the symmetry condition? a(v, u) = f(vxK Ux +vAu)dx -1

A: Given,        a(v, u)=∫-11(vxκux+vλu)dx

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A:

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A:

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A:

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A: f(x) = x +2 f(0) = 2 ∈ = 0.2   Now, | f(x)  -  f(0) | &lt;  ∈

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Q: 1, sin?x, cos?x

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Q: c =

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Q: e*, cos x, sin x

A:

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Q: Let F =. Find the lin , 0 <t< 2n.

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A: To find the composite function.

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A:

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A:

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A: our objective is to find the derivative

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A: To Determine :-  The absolute maximum and minimum values of f on the set D , where  f  x , y  = xy3…

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A:

Q: Suppose that f e H(C) and |f(2)I < eRez for all z. Show that f(z) ce for some constant c.

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A:

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A: we know that Work W=∫C F→·dr→

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A: To determine whether the work done along the path C is positive , negative or zero .

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Q: let f (x) =- , over the interval 0<x<2n , find b 1 a O n 1 b O пп 1 1

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Q: Find the value of the constant cc that makes the following function continuous on (−∞,∞). f(b)={cb+1…

A: The value of c calculated as follows.

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Q: Exercise 12 Consider an arbitrary circle with radius r, circumference C, and area A. Both the area…

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A:

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A: f ∈ Cn  means f is atmost n times differentiable

Q: Let A(x) = f(t)dt, with f(x) shown in the graph below.

A: Given that: Graph of f(x)

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.