18.f(x) = coin on [-2, 2] 19.f)x+ 2)/ 1/3 20,f(x) = 12 x-2 21. Optimization A right triangle has legs of length h and r, and a hypotenuse of length 4 (see figure), It is revolved the leg of length h to sweep out a right circular cone. What values of h and r maximize the volume of the cone? (Volume of a cone r/3.) 22. Rectangles beneath a curve A rectangle is constructed with one side on the positive x-axis, one side on the positive y-axis, and the vertex opposite the origin on the curve y = cos x, for 0 < x < ㎡2. Approximate the dimensions of the rectangle that maximize the area of the rectangle. What is the area? m printable area A rectangular page in a textbook (with width x and length y) has an area of 98 in,.2,top and bottom margins set at 1 in., and left and right margins set at 1 in. The printable area of the page is the rectangle that lies within the margins. What are the dimensions of the page that maximize the printable area? 4 Nrarrst pgint What point on the graph ofx)x2 is closest to the origin? (Hint: You can minimize the

Q: Question 12

A: Given: Value of the trading card = $155 (in 2009) Each year increases by = 4.8% = 0.048 To…

Q: 7/3+4/5+1/3=

A: Given: 73+45+13 To find: We have to calculate the value.

Q: I+l+3

A: Answer - sum = a+b +c...........

Q: Do dominant and subordinate individuals differ in the means of giggle spectral CV?

A: For Group : Dominant Individual Standard Deviation, s: 0.05410 Count, N: 9 Sum, Σx: 2.755…

Q: Question 18.30

A: The given data

Q: 60. f -1 | f' f" -1

A: According to the sign chart, we have

Q: 3. Suppose an amount of money is invested at 8% per year. An additional amount of money equal to…

A:

Q: Question 4 too please.

A:

Q: 0 1 2 4 0 0 1 3

A:

Q: Question 12

A: (12)(a) Given, f(x)=2x-6 such that f:ℝ→ℝThe function f(x) is a linear function. The f(x) is defined…

Q: Question 12

A: We are given the following shapes. For (a), We need to find the volume of the box as a function of…

Q: 52. -2

A: When f'&gt;0 then function increasing and graph of f' lies above x axis when f'&lt;0 then function…

Q: question

A:

Q: Question 51

A: SOLUTION-

Q: 27. 3xv2 v' = 3x4 + v3

A: Given    3xy2y' = 3x4+y3  .......(1)(1) Can be written asy'-y3x=x3y-2y'+P(x)y = q(x)yn (Bernoulli…

Q: 1/3+4/5=

A:

Q: 54. -2 0.

A: (54) One of the possible graph for the given sign chart of f' is,

Q: Question 52

A: Solve 52

Q: 1/4 + 1/2 + 3/8 =

A: We need to find sum.

Q: Question 55

A: Consider the sign chart given for the derivative Recall that the function is increasing when the…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!