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Graphs and Functions

Functions and Graphs

Trying to find the number of deaths in the United States due to each of the following medical conditions in each of these years; 1985, 1990, 1995, and 2002. heart disease, cancer and aids. How do I plot the data for each disease as points in a rectangular coordinate system? I must connect the data points. Using a curve how

Solving Quadratic Inequalities (5 Problems)

Solve each inequality. State the solution set using interval notation and graph the solution set. 11. 14. 16. Solve the Rational inequality. State and graph the solution. 26. Solve the inequality. State the solution set using interval notation. 55.

Relations, Functions and Reversal of Variables : Real World Applications

In the real world, what might be a situation where it is preferable for the data for form a relation but not a function? All I found was Edgar Cobb who invented the relational module while working at IBM in the late 1960's. Am I on the right track? Help? When might a reversal of variables be useful in the real world?

Astroids and Tangent Lines

The graph of x^(2/3) + y^(2/3) = 1 is an astroid. How can I find the equation of the tangent line at (1/8, 3√3 /8). Are there any points on the curve at which no tangent line can be defined? Could you also explain?

Guido paces 24m along the bank of a river from Point A to Point B

I have no clue on how to go about answering this question. Could somebody please tell me how to. 1. Guido paces 24m along the bank of a river from Point A to Point B. He then measures Point B to Point C to be 8m long. If Point C to Point D measures 5m, how wide is the river?

Initial-Value Problem with Graph : Laplace Tranformations and Partial Fractions

For t>0, let F(t) be the Phi-periodic function which on [0,pi] has the graph attached to this problem. a) Solve the IVP y"+4y=F(t) y(0)=0=y'(0) b) Graph the solution on the interval [0,3pi] c) Discuss the behavoir of the solution in relation to the equation. For the solution please use Laplace transformations and partia

Cell Referencing in Excel and Computing Future Value Function

Create a table in Excel, that represents the Future Value (F) function. F=Pe^(rt) Where F the Future value ($) is a function of time, t, in years. P is the present value. r is the continuous growth rate. e=(approx.) 2.7183 The table should have inputvalues of 0-20 years. You should be able to get a new table by chan

Quadratic Equation

A square picture is mounted in a frame 1 cm wide. The area of the picture is 2/3 of the total area. Find the length of a side of the picture.

Function solutions

2. Given the polynomial f(x) = 2x 3 -5x2-4x+3, find the solutions if the function is completed as a) f(x) =0 b) f(x+2)=0 d) f(2x) = 0

Prove A Variation of Fermat's Theorem

There always exists a real number n such that a^n = b^n + c^n , where a, b and c are any integers. The problem is not Fermat's Last Theorem, but a variation of it with real exponents.

Functions: Onto and One-to-one, Bijections and Functions

Please help with the following problems on graphs and functions. Provide step by step calculations. 1. Assuming A,B not equal to no solution, define m1:AxB->A and m2:AxB-> as follows: m1(x,y)=x and m2(x,y)=y. If f: A->B, show that a) f onto=>m2 |f is onto b)f one-to-one=>m2 f is one-to-one 2. Assuming f: A->B and g:

Functions and Graphs: Trends and Real World Implications

Plot your data for each disease as points in a rectangular coordinate system. Year...................1985..........1990..........1995......2002 Heart Disease 771,169 720,058 684,462 162,672 Cancer 461,563 505,322 554,643 557,271 AIDS * 8,000 25,188 39,979 14,095 - Use individu

Plotting a Surface Function

Consider the function u(x,t) = sin(4 pi x) e^(-pi t). Plot using a graphical tool and explain what you observe. Please see the attached file for the fully formatted problems.