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# Graphs and Functions

### Foci, asymptotes and graph of a given hyperbola and finding the point of intersection with a given line.

A hyperbola is given the equation x^2/25 - y^2/9 = 1 A) Find the coordinates of the foci and the equations of the asymptotes. B) Find the point of intersection with the line y=4-x c) Graph the hyperbola, the line, and the point of intersection. Please explain how to graph this because I dont understand it and

### Domain values

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

### Examples of Arithmetic series and sequence

Details: 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, quadrat

### Volume function

The volume of a cylinder (think about the volume of a can) is given by V = &#960;r2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 121 cubic centimeters. Write h as a function of r.

### Algebra Description Graphed

Please answer the following questions ASAP: Match each description of a graph with an equation. The graphs are all described in relation to the graph y = x^2 shifted 3 units upward shifted 3 units to the left shifted 3 units downward stretched out and flipped upside down shifted 3 units to the right

### Graph for rational function

Given the information in the attachment, please sketch the graph.

### Graphing equations

Graph the functions y = x and y = 2 square root of x on the same graph(by plotting points if necessary) show the points of intersection of these two graphs. For the equations x-2 square root of x=0. perform the following: solve for all values of x that satisfies the equation.

Given the quadratic function (see attached file) a.) Does the graph open up or down? b.) What is the equation of the axis of symmetry? c.) What are the coordinates of the vertex? d.) Give the y intercept e.) Give the x intercept(s) f.) sketch the graph

### Math problems help

1. Find an equation of variation where y varies jointly, directly as the cube of x and cube root of z, and inversely as the square of w, and y = 4 when x = 2 and z = 8 and w = 4. 2. Perform the indicated operation and simplify. y2 + 3y y2 -y y - 1 y2 -5y + 6 (y-3)(y+2)

### Rational function

For the rational function (see attached), give the intercepts and asymptotes and sketch the graph.

### Derivative Implicit Functions

(See attached file for full problem description with proper equations) --- The problems need to be solved in full and to show all work 1a) Find the following derivative implicitly with respect to x If, Y=(1+xy)^(1/xy). Find dy/dx! without simplifying the derivative. Compute dy/dx at (1, 1). b) find the formul

### Objective Function

Explain the difference between profit and contribution in an objective function; and why is it important for the cecision maker to know which of the the objective function coeffieients represent?

### Revenue Functions Models

3. Let be a function that models the temperature change in a certain valley from 6:00 PM one day to 8:00 AM the following morning. Let the origin represent the temperature at 6:00 pm. ________________ ________________ a. Find, and then sketch, the first and second derivatives of on

### Functions

An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out. Find the function V that represents the volume of the box in terms of x.

### Functions and Sequences

Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function? Include the following in your answer: Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence? Which one of the basic functions (linear, quadra

### Functions

For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time. Using the formula, , let r = 10%, P = 1, and n = 1 and give the coordinates (t, A) for the points where t = 0, 1, 2, 3, 4. a) Show coordinates: b) Show graph:

### Volume of Cylinder : Height as a Function of Radius

The volume of a cylinder (think about the volume of a can) is given by V = pi r^2 h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters. a) Write h as a function of r. b) What is the measurement of the height if the radius of the cylinder is 2 c

### Functions that are continuous at all integers and discontinuous everywhere else.

My teacher gave the class a few examples of functions that are discontinuous at all integers and continuous everywhere else. He then asked us if it is possible to have a function that is continuous at all integers and discontinuous everywhere else. He informed us that there is and that we should try finding it and a graph to sho

### Function discontinuous at all integers and continuous everywhere else.

My teacher gave the class a few examples of functions that are continuous at all integers and discontinuous everywhere else. He then asked us if it is possible to have a function that is discontinuous at all integers and continuous everywhere else. He informed us that there is and that we should try finding it and a graph to sho

### Heart Disease and Cancer : Graphing, Forecasting, Trends and Trendlines

You have been invited to present statistical information at a conference. To prepare, you must perform the following tasks: 1. 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

### Functions, Relations and Graphs : Comparisons and Fahrenheit to Celsius Temperature Conversion

1. In the real world, what might be a situation where it is preferable for the data to form a relation but not a function? 2. 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 Bo

### Distance As A Function Of Time

Suppose you throw a baseball straight up at a velocity of 64 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0 · 16 represents 1/2g, the gravitational pull due to gravity (measured in feet per second2). · v0 is the initial

For the function y = x2 - 4x - 5, perform the following tasks: a) Put the function in the form y = a(x - h)2 + k. b) What is the line of symmetry? c) Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h)2 + k. d) Describe how this graph compares

1) Using the quadratic equation x2 - 4x - 5 = 0, perform the following tasks: a) Solve by factoring. b) Solve by completing the square. c) Solve by using the quadratic formula.

### Sequences and Series

Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function? Include the following in your answer: ?Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence? ?Which one of the basic functions (linear, quad

### Graphing

(See attached file for full problem description with diagrams) --- ? For non-integer answers, use a fraction rather than a decimal. ? Include o the formula with substituted values. o the final calculated answer with units. a) Given the above graph, identify the graph of the function (line, parabola, hyperbola, o

### Graphs and Linear Functions

Please see the attached file for the fully formatted problems. --- - How do I find the formulas with substituted values and show the final calculated answer with units? - I have also highlighted in yellow what needs to be shown for each problem. 1) a) How do I identify the graph of the function (line, parabola, hype

### Polar and Parametric Equations : Eliminate the parameter to find a cartesian euqation of the curve; sketch the curve with the given polar equation. Show the equation for the sketch.

1,2,3) a) Sketch the curve by using the paramtric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. b) Eliminate the parameter to find a cartesian euqation of the curve. 1)x = 3t-5, y=2t + 1. Part a is just making a table using t and solving for x and y, but whe

### Identifying Function, Derivative and Second Derivative from Curves; Find the equation of the tangent line to the curve at the point.

Identify the graphs A (blue), B( red) and C (green) as the graphs of a function and its derivatives: is the graph of the function is the graph of the function's first derivative is the graph of the function's second derivative Enter a T or an F in each answer space below to indicate whether the corresponding equation

### Polar Curves : Find the slope of the tangent line to the given polar curve at the point specified ; Find the points on the given curve where the tan line is horizontal or vertical.

Give step by step answers with solutions and answers. I) Find the slope of the tangent line to the given polar curve at the point specified by the value theta. 55) 5 = sin(theta), theta = pi/6 57) r = 1/theta, theta = pi 59) r = 1 + cos(theta), theta = pi/6 II) Find the points on the given curve where the t