Graphs of Functions ...
Graph the following. Find all asymptotes, if any. State the domain and range of the function, describe the concavity and say where it is increasing ofr decreasing. y=1/x-4 +2 -Please note-this is a fraction-1 over x-4
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Graphs and Functions
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Mathematics - Functions - Graphs
1) Find f(2), f(-3) and f(4) given f(x)=3x squared+5x+12. 2) Find f(-5), f(1) and f(9) given f(x)=-2x squared+2x-7. 3) Graph: g(x)=-(x+2)squared 4) Graph: f(x)=x cubed-4 5) Graph: h(x)= -square root of x. 6) Graph: p(x)= |1/2x|.
Modeling Population Growth
Your group will develop four different population scenarios for a town. As a group, you will decide on the name of the town and the initial population. You will graph the function for each population scenario and use your model to make some decisions about the population. 1) Decide on a name of a rural town. 2) Decide on a
Extrema and saddle points
Attached Examine each function for relative extrema and saddle points: f (x,y) = x^2 - 3xy + y^2
A sound wave is given by the function
3. A sound wave is given by the function f(t) = 0.5e^-2t cos 4t Write down the first four terms of the power series expansions of e^-2t and cos 4t. Determine the cubic (up to and including the third power of t) approximation of f(t) and calculate the accurate and approximate values of f(0.02) giving your results correct to
Maximize the Function
See attached Maximize the function f(x,y,z)=xyz subject to the constraints x+y+z<=1, x>=0, y>=0, and z>=0.
Maximize the Function
Maximize the function (see attached) subject to....
Word Problem: Finding the Slope of a Line
The slope intercept formula in math form is y=mx+b. The slope in this case is m and determines how much increase there is in y from an increase in x. In cost-volume profit, the formula is profit-margin per unit times the number of units, less fixed costs. Here, fixed cost are essentially a negative value for b in the basic for
Write an Equation for Line in Slope-Intercept and Standard Form
Write the equation for the line passing through the give pair of points. Write your answer in the slope-intercept and standard form. (2,4) and (4,-9).
Catenary Equation of a hose.
Hi, Given are the elevations of a hose connected to a building on one side and to a ship on the other. The below attached sketch shows the POC-Points of Connection as 19.09 ft on building and 49.9 ft on the ship. The distance from the building to the mid-span of hose is r2= 5 ft and r1 from ship is r1=6.5 ft. The hose is not
Using exponential growth function how long will it take world population to reach exactly 7 billion ...
Based on exponential growth function how long will it take the world population to reach exactly 7 billion? How about 10 billion? Based on the population how long before it will reach 400 million? and 500 million? I need to give an explanation in within one page.
Equations of Lines in Slope-Intercept Form ... (Please see the attached file for the fully formatted problems)
Please see the attached file for the fully formatted problems. A defense attorney charges her client $4000 plus $120 per hour. The formula R _ 120n _ 4000 gives her revenue in dollars for n hours of work. What is her revenue for 100 hours of work? What is her revenue for 101 hours of work? By how much did the one extra h
Graphing Marginal Product and Average Product for three different types of production functions (linear, quadratic, cubic)
Given algebraic equations, need to graph the marginal product and average product for linear short-run, quadratic short-run, and cubic short-run production functions. Plug in numbers to graph. See attachment.Thank you. Production Functions (Algebraic) Graph the marginal product (MP) and average product (AP) for each of t
Functions and Graphs: Population Growth in a Rural Town ...
1) Decide on a name of a rural town. 2) Decide on an initial population, , of the town in the year 2010. Choose an initial population between 5,000-10,000. Use this value of for each of the scenarios. 3) You will investigate four different scenarios of population growth or decline in this town. ? Linear growth ? Gr
Graphs, Equation of Line, Midpoints and Line Segments
Please see the attached file for the fully formatted problems. 1.) Find the distance between the points (4,-1) and (-5,3) 2.) Find the midpoint of the line segment with endpoints (5,-2) and (-3,12) 3.) Graph the equation 4.) 5.) Find the equation of the line with slope 0 and y-intercept (0,-2). Write your answer in t
Depreciation : Straight-Line, Double-Declining Balance and Sum-of-Years' Digits
Cutter Enterprises purchased equipment for $72,000 on January 1, 2006. The equipment is expected to have a five-year life, with a residual value of $6,000 at the end of five years. 1. Using the straight-line method, depreciation expense for 2006 would be: A) $13,200 B) $14,400 C) $72,000 D) None of the above is c
Functions and Graphs : Sketching, Domain, Range and Asymptotes
Please see the attached file for the fully formatted problems. 1. The length of a rectangular field is 3 times its width. If fencing costs $12 per metre, express the cost, C, of fencing the field as a function of the width, w. 2. Draw a set of axes and then plot the graph of the function f(x) = 2x ?4, for ?3<x<5. 3. (i)
general steps for graphing a linear function
Give the general steps for graphing a linear function. Give an example of a linear function and graph it.
Systems of equations problems
1. What systems of equations can be solved by graphing or using substitution or elimination? Which method do you like best and why would it be different method. How would you answer this question? 2.Why graphing gives more visual of the problem and the elimination makes it easier to come up with the answer?
Exponential and Logarithmic Functions
1. Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case. 2. A cell divides into two identical copies every 4 minutes. How many cells will exist after 3 hours? http://www.purplemath.com/modules/graphexp.
Graphing Linear Inequalities
When graphing a linear inequality, how do you select the area (which side of the line) that is being represented (and has to be shaded) by the inequality? Present two examples to illustrate your answer. (Use this as an opportunity to practice drawing graphs.)
Graphing a Real-Life Function and It's Asymptotes
According to the U.S department of energy, the average cost per year in electricity is 92 dollars. A new refrigerator is 550 dollars. 1. Determine the total annual cost over the life of the refrigerator for a refrigerator that lasts 15 years. Assume that the only cost associated with the refrigerator are its purchases price a
Algebra: Graphing Functions, Domains, Reflections and Shifts
Please see the attached file for the fully formatted problem(s). 1) State the domain of the following and provide a brief explanation for your answer: a) Answer: b) Answer: c) Answer: d) Answer: e) Answer: 2) Suppose the graph of is shifted to obtain each the following graphs. What is
Nonlinear cost functions
Explain and give examples of nonlinear cost functions
Find a linear function that fits the given data
The table list data - Average Salaries of Athletes in 1991 and 2001 Use the data points to find a linear function that fits the data and then use the function to predict the average salary in 2005 and 2010. Year average salary 1991 $273,000 2001 $1,420,000
Finding equation of line whose slope and point is given
Find an equation of the line having the given slope and containing the given point. M= -2 , (3,7)
Defining a function
Define Function f(x)=2x^3-4x^2+3x-5. possible tangent lines are y=x-5, y=2x-5,y=3x-5 a) f(x)=o b) Which line appears to be tangent to curve at point (0,-5)? at (1,-4) c) Find function for normal line to curve at point (0,-5)
Domain and Range of a Function
C(g)=3.03(g) Graph this equation and find an appropriate domain and range.
Lower semi-continuous and convex function
These are problems that ask as to which values of a variable a function is a) convex and b) lower semi-continuous. Please see the attached file for the full question.
Formulate the Problem of Finding Shortest Ladder
A box of dimensions a x b is standing against a wall that a ladder must lean up against, as shown in the attached picture of the scenario. Formulate the problem of finding the shortest ladder and then solve it. See the attached file.