1) An open-top box is to be constructed from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and folding up the flaps. Let x denote the length of each side of the square to be cut out. a) Find the function V that represents the volume of the box in terms of x. b) Graph t
1) An open-top box is to be constructed from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and folding up the flaps. Let x denote the length of each side of the square to be cut out. a) Find the function V that represents the volume of the box in terms of x. b) Graph this function and s
1. In a percent change graph of an average teachers annual salary the bars representing successive years are either unchanged or decreasing in size. 2. Consider a typical 30 year fixed rate mortgage. During the first few years of the loan are payments applied primarily towards interest or primarily towards principal? Explain
Complete the given ordered pairs so that each ordered pair satisfies the given equation. X + 2 y = 1: (0, ), (-2, ), (2, ) Sketch the graph of each equation y = 2/3 x -5 x= 9 Determine the equation of each line. Write the answer in standard form using only integers as the coefficients. The line through (
Consider the function f (x, y) = x^2 ln( y^2 ) (a) Find the equation of the tangent plane to the surface of f (x, y) at the point (3,1/ e) . (b) Show the tangent plane to the surface at the point (3,1/ e) by plotting both on the same graph. Select a suitable viewpoint for your graph so that you can see where the plane is tang
If someone can show me how to complete the following problem (attached), I can complete 20 more just like it! Please see attached document. Write either a simple or a compound inequality that has the given graph as its solution set.
Senior citizens. The number of senior citizens (65 and over) in the Unites States in millions n years after 1990 can be estimated by using the formula s= 0.38n + 31.2 (U.S. Bureau of the Census, www.census.gov). The percentage of senior citizens living below the poverty level n years after 1990 can be estimated by using t
In the real world, what might be a situation where it is preferable for the data to form a relation but not a function? There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. You are given the following data points: Fahrenheit Celsius Freezing point of water 32 0 Boil
I need to verify that how f*f becomes xf(x) in given f.
1. How many positive factors does the equation x+y+z =17 have?? 2. How many different arrangements are there for the word "number"?
Using the Library, web resources, and other course materials, find a real-life application of each graph. Relate the application to the specific graph (line, parabola, hyperbola, exponential). Describe the characteristics of each application as related to the graph.
Let R be the ring of continuous functions from the reals to the reals. Define A={f in R: f(0) is an even integer}. Show that A is a subring of R, but not an ideal. See attached file for full problem description.
The three questions are stated in an attached .doc file (1.doc). In part 1, a diagram is given, and whether the object depicted in the diagram is a graph is to be determined. In part 2, a graph is given and its chromatic number is to be determined. In part 3, a graph is given and the number of colors needed to color the
1. Consider the graph of y = tan x. (a) How does it show that the tangent of 90 degrees is undefined? (b) What are other undefined x values? (c) What is the value of the tangent of angles that are close to 90 degrees (say 89.9 degrees and 90.01 degrees)? (d) How does the graph show this? 2. A nautical mile depends on lat
You have been invited to present statistical information at a conference. To prepare, you must perform the following tasks: The following data was retrieved from www.cdc.gov. It represents the number of deaths in the United States due to heart Disease and cancer in each of the years; 1985, 1990, 1995, and 2002. Year
See attached file for full problem description. 1. Find the missing coordinates in the following table: 2. Graph the following equation. Plot at least five points for the equation: x + 4y = 5 3. Demand Equation. Helen's Health Foods usually sells 400 cans of Pro Pac Muscle Punch per week when the price is $5 per can. Af
Graph each funtion and state the domain and range. y=0.3x
-3x+4y=11 I am trying to rewrite this as a function of x.
F(x) = x^2 + 7x +7, (4, )
Graph the function: F(x) = x^2+1.
Case 3: Justifying An Increased Line of Credit 1. A monthly regression analysis is to be conducted using monthly data for each demand variable. Formulate your empirical model using the additive functional form. 2. Using economic theory what are the hypothesized signs of parameters in the demand model. 3. Interpret your
6. Consider the points (4, -1) and (7, 8). (a) Find the midpoint of the line segment with the given endpoints. (b) Find the distance between the points. Give an exact answer (simplified as much as possible), and also an approximation to three decimal places. Show some work. (c) Find the slope of the line passing through the
Use f(x)=-2(x+3)^2+4 to find the following values. Round any answers to two decimal places. You must show work for each answer choice or provide justification. 4a. y-intercept as an ordered pair. 4b. Determine the axis of symmetry written as an equation. 4c. Vertex as an ordered pair? 4d. Domain, in interval n
You are the financial manager of a furniture company. It is your job to create supply and demand graphs that show the break-even point for the company. The functions that describe how the company can break even will be represented with linear equations. Linear inequalities will be used to graph conditions where the company exper
Find the range and standard deviation for: 14, 17, 18, 19, 32. Find the following area under the standard normal curve: between z=-1.88 and z=2.10. Find a z-score such that 8% of the area under the curve is to the right of z.
Using the index of a series as the domain and the value of the series as the range, is a series a function? Include the following in your answer: Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series? Which one of the basic functions (linear, quadratic, ratio
Domain and Range of a Function. See attached file for full problem description.
Could you please break this down for me? See attached file for full problem description.
Consider any surjective map f from a set X onto another set Y. We can define a relation on X by x_1 ~ x_2 if f(x_1) = f(x_2). Check that this is an equivalence relation. Show that the associated partition of X is the partition into "fibers" f^(-1) (y) for y in Y. I would like to understand what this question is asking me a
Show that if the value of a variable x is selected by inverting the cdf (cumulative density function), x = F^-1 (RN), the distribution of the x values is given by the function f(x). See attached file for full problem description.