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# Computing Values of Functions

### Investments

You are going to invest \$20,000 in a portfolio consisting of assets X, Y, Z as follows: Asset Annual Return probability beta proportion X 10% 0.50 1.2 0.333 Y 8% 0.25 1.6 0.333 Z

### Assets - perfectly negatively correlated

Combining two assets having perfectly negatively correlated returns will result in the creation of a portfolio with an overall risk that A. increases to a level above that of either asset B. decreases to a level below that of either asset C. stabilizes to a level between the asset with the higher risk and the asset

### Golf scheduling

I have 8 players and all 8 play on friday only (making two foursomes). We will be playing for a total of 18 weeks. How should they be set up for each different friday so that at the end of 18 weeks they will have played in a foursome with every other player an equal number of times? ( or as close to equal as possible)

### Quantitative Method

I need help on this question- A quantitative method may be sensitive to changes in the parameters involved in comparing alternatives. A careful analyst conducts a sensitivity analysis to see if the situation's outcome is susceptible to small changes in such parameters (say 5%). Is Decision Analysis susceptible to such a s

### inductive reasoning to predict numbers in sequence

1. Use inductive reasoning to predict the next three numbers in the sequence. 3, 7, 12, 18, ... 2. Given the two statements, write a third statement to complete a valid deductive reasoning argument. Argument: All planes fly in the air. The Boeing 737 jet is a plane. By deductive reasoning, one can conclude, ... 3

### An Application of Rational Exponents and Rational Functions

Part 1: Find the average weight in pounds of a type of bird of your choice. Use the rational exponent equation L = 2.43 * W^0.3326 to estimate the wingspan L in feet of the bird that weighs W pounds (Rockswold, 2006). Include in your post the type of bird and the average weight and show the calculations necessary to find the app

### Initial value problem using Green's function

Consider the nonhomogeneous linear initial value problem x^2y'' - 2xy' + 2y = 30x(delta)(x - 3), y(1) = 1, y'(1) = 0 Note that y(x) = x satisfies the corresponding homogeneous differential equation. Solve the initial problem using a Green's function approach. What happens to y, y' and y'' at x=3?

### Finding the Marginal Revenue Function: Waverly Products

Waverly Products has found that its revenue is related to advertising expenditures by the function R (x) = 5000 + 16x - 3x2 ,where R(x) is the revenue in dollars when x hundred dollars are spent on advertising. a) Find the marginal revenue function. b) Find and interpret the marginal revenue when \$1000 is spent on adverti

### Examine several newspapers and magazines

Examine several newspapers and magazines and describe at least three examples of functions that appear. What is the domain and range of each function? EXAMPLE OF ASSIGNMENT: The amount of money you pay for a gym membership is a function, because you pay a fee each month in addition to the initial fees for joining. In thi

### Functions and modles

Think of a mathematical function that represents something from your own life. For example, suppose the number of beers you drink depends on the number of football games you watch. If you drink five beers during every football game, the function would be: Number of Beers (B) = 5 times Number of Football Games (F), or B = 5F

### Limit of a Function

(8) Sketch the graph of an example of a function f that satisfies all of the given conditions. lim (x->0) f(x) = 1, lim (x->0+) f(x) = -1, lim (x->2-) f(x) = 0, lim (x->2+) f(x) = 1, f(2) = 1, f(0) is undefined

### Functions and money

Please see attached and show work Please show work. Section 4.1 42.&#65532;Use the definition of inverses to determine whether f and g are inverses. 72a. Future value. Find the future value and interest earned if \$56,780 is invested at 5.3% compounded A). quarterly for 23 quarters. 76. Interest rate. Find the

### meiosis and fertilization

Year Populations in MIllions 1980 67.38 1981 69.13 1982 70.93 1983 72.77 1984 74.66 1985 76.60 1986 78.59 Consider the formula P=67.38*(1.026)^t. If we let P represent the population of Mexico in year t where t is the number of years from 198

### Mean Crash Damages

In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Are the mean crash damages the same for these three vehicles? Please see the attached file for the fully for

### Sum of numbers

The sum of two numbers is greater than or equal to 30 . The second number is 6 more than the first. What are the possible values for the first of the two numbers? In your answer, denote the first number by x .

### Ruler function proof

Define Ruler Function g:(0,1)-> R (it is the usual ruler function available online) as g(x) = { 1/q if x = p/q, p and q are relatively prime { 0 if x is irrational. Show (without using Riemann-Lebesgue Theorem) that g is Riemann integrable. The hint says that since L (lower sum) is zero, it remai

### Constant Function Proof

Prove that an entire function that omits the value 0 and 1 is a constant. See the attached file.

### Matlab help

Two related questions. First - I need a good way to display error bars on a scatter plot. I have a set of x and y data, that I have attached as a text file along with y+err and y-err data (denoted +/-). The err values vary from point to point, and +err and -err are not necessarily the same. Second - I am using the data to

### Functions and equations and measurement

This Discussion Question will concentrate on functions and graphs. Understanding the definitions of words is the essence of mathematics. When we understand the meaning of words, finding a solution is much easier because we know what task the problem is asking us to complete. a. Part 1 b. In your own words, define the wo

### Analytic real world functions

Which of the following real functions u(x,y) of two real variables are the real parts of an analytic function f(z) with z=x+iy a) u(x,y) = x^3-y^3 b) u(x,y)=x^2-y^2+y IN each case compute f(z) if it exists

### Floor and Ceiling Functions

Let F(x): R -> Z be the floor function and C(x): R -> Z be the ceiling function. Select which of the following function equations are true (select zero or more answers). a. C(x) - F(x) = 1 for all x. b. C(F(x)) = F(x) for all x c. C(F(x)) = F(C(x)) - 1 for all x d. F(F(x)) = F(x) for all x.

### Evaluate functions

Evaluate the functions for the values of x given as 1,2,4,8 and 16. describe the differences in the rate at which each function changes with increasing values of x. 1 f(x)=3x+2 2. f(x)x^2+5x+6 3 f(x)=x^3+3x^2x+1 4. f(x)=e^x 5. f(x)=log x

### Prove the Function of the Union of Two Sets

Theorem 4.16 Let f: A --> B, C and D be subsets of A, and E and F be subsets of B. Then b) f(the union of C and D) = the union of f(C) and f(D) d) f^-1(the union of E and F) = the union of f^-1(E) and f^-1(F). See the attached file.

### Functions - Inflation

Find the most recent report of the annual inflation rate of a country of your choice as well as the type of currency used in that country. The equation also typed as S=C(1+r/100)^5 to find the inflated cost S, in 5 years, of an item, good or service, where C is the current price of that item in that country's currency and wher

### Inverse Functions and Relations

1. What is an inverse function? In order for a function to have an inverse it must be a one-to-one function. Explain in your own words what it means to be a one-to-one function and why this is a necessary requirement for having an inverse. Give a simple example of a function and its inverse. Explain why these functions are in

### Extrema of a Bivariate Function

Find the extrema of f subject to the stated constraints. f(x,y) = x - y, subject to x^2 - y^2 = 2

### Pointwise Operations of Functions

2 1. If f (x)= 2X - X -3 and g(x)= X+1, find f + g. 2. if f(x) = 3X-4 and g (x) = X+2 , find f + g 3. if f (x)= 3X-4 and g(x)= X+2 find f * g 4. if f(x)= 3X and g (x)= X-5 find (f*g) (X) 5. if f(x) = 5X+2 an g (x) = 3X-4 find (f*g) (x) factor 2 4X + 81 - 36X

### Two applications of a rational functions

Part 1: An application of a rational function is Young's rule, which approximates the dosage of a drug prescribed for children. a) Using the Library, web resources, and/or other materials, find the equation for Young's rule. State what each variable in the equation represents. Do not type the equation using the Equatio

### Graphs of Functions and Relations

Graphs of Functions and Relations A. The graph of g(x) = x + 2 B. The graph of g(x) = | x | - 3 C. The graph of y = | x - 1 | + 2 D. The graph of E. To graph the equation

### Tempered Distribution

Show that exp(x) is not a tempered distribution. Please justify your steps. Thank you