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    Graphs and Functions

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    Sketching a Parametric equation

    See attachment please sketch the curve for the following parametric equation and show the table to plot points. Thank you. (ii) For what parameter t does the slope of the line tangent to the graph at the point correspond to the value of the parameter -5? What are the rectangular coordinates at that point? (iii) Writ

    Range

    Find the range for the group of data items 29, 32, 32, 38 The range is ___?

    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) = 5x - 3 2. f(x) = x2 - 3x + 2 3. f(x) = 2x3 + 7x2 - x - 1 4. f(x) = 10x 5. f(x) = ln x

    Exponential & Logarithmic Functions

    For the exponential function ex and logarithmic function log x, graphically show the effect if x is doubled. Post your graph along with the response. Criteria: -Calculate the values for ex and e2x -Plot the values of ex and e2x -Calculate the values for logx and log2x -Plot the values of logx and log2x -Correc

    Constructing Truth Tables

    Constructing a truth table for the given statement for 1 and the second is to write a truth table and indicate whether the compound statements is true.

    Graphs of Exponential and longarithmic functions - Refer to the graph given below and identify the graph that represents the corresponding function. Justify your answer. y = 3x and y = log3x ... [Please see the attached questions file.]

    Assignment 3: Graphs of Exponential and Logarithmic Functions Refer to the graph given below and identify the graph that represents the corresponding function. Justify your answer. y = 3x y = log3x Plot the graphs of the following functions. Scan the graphs and post them to the Facilitator along with your response

    Displacement, velocity and Acceleration

    A body has an equation of motion measured in meters after t seconds such that s =4/3t³ − 14t² + 40t + 8 a)When and where is the body momentarily at rest? b)For what time interval is it moving forward? c) During what times is its acceleration negative? d)draw three separate graphs for acceleration, velocity and

    Exponential function

    In the formula A=I e^(kt), A is the amount of material remaining from an initial amount I at a given time t and k is negative constant determined by the nature of the material. If it has 53% of the carbon it originally contained, what is the approximate age of the artifact? (carbon decays @ a rate of 0.0125% annually.) Round

    Functions, Inverses and their Graphs

    (6) Find the invesres of the following: (a) f(x) = 2(x - 4)^2 + 5 (b) f(x) = [1/(x - 2)] + 3 (7) Graph the functions and their inverses in (6) above. Also indicate which relations are functions and which are not.

    Linear cost function

    An electrician charges a fee of $60 plus $45 per hour. Let C(x) be the cost in dollars of using the electrician for x hours. Find the linear cost function.

    Finding time periods

    Need help in solving this... The population of a city during a certain time period can be approximated by: P(x)-0.1x^5+3.2x^4+500 where x is the time in years since 1960. Need to find P(13).

    Equation of Parallel Lines

    Need assistance in finding the equation of the line satisfying the given conditions. Through (7,-8); parallel to -8.8x+0.1y=-62.

    Truth Table: Determine Whether the Two Statements Are Equivalent

    Use a truth table to determine whether the two statements are equivalent. ~q ^ P and ~q arrow toward p Please show truth table: thanks 2.Write the equivalent contrapositive of the statement. If he is not working in China, then he is vacationing in England .

    Equilibrium Production Level

    The law of Supply and Demand states that in a competitive market environment, supply tends to equal demand, and when this occurs, the market is said to be in equilibrium. Thus, market equilibrium occurs at the production level, xe, where S(xe) = D(xe). Note that S(x) is the supply function and D(x) is the demand function. For th

    Position Function of Football Thrown

    A football is thrown downward from a window in a tall building. Its position at time t in seconds is s=16t^2+32t, where s is in feet. How long to the nearest tenth will it take the ball to fall 175 feet? (2.3, 3.3, 6.2, or 2.5)

    Graphing Linear Equations

    Attached are 3 problems using linear equations. Please include all of your work for the conclusions. Thank you.

    Find Equations for Slope-Intercept

    Please show work so I can figure this out on similar problems. See attached for all questions. Find an equation in slope-intercept form (where possible) for each line Graph each equation

    Solving and graphing inequality

    1. determine whether the given numbers are solutions of the inequality. 7, -13, -17, -1 y-10>2y-4 is 7 a solution? 2. write the set (xlx_>1) in interval notation 3. write interval notation for the set (xl-1>x>-3) 4. write interval notation for the given graph ( strai

    Linear Equations and Graphing

    1. Find the equation of a line perpendicular to the line: x = 4 ,and passing through the point: (4,2). 2. Draw a graph of the following linear function and give the domain and range: h(x) = -2x + 3.

    Cartesian Product and Cardinal Number

    Find the Cartesian Product 1. A={12, 9, 10} B={14, 4} Find A x B Find the indicated cardinal number.Please show work. 2. Find n(C x D) given that C = {4, 5, 6 } and D={7, 8, 9, 10} Statements and non-statement Determine and justify whether the sentence is a statement. 3. The orbit of Uranus lies completely withi

    Function and Graphs

    1. Find the slope and the y-intercept 4 - 1/y =9x The slope is? The y-intercept is (0, ? ). 2. For the graph, find the average rate of change as a reduced fraction. Also state the appropriate units (do not abbreviate). The rate of change is? The appropriate units are pages per ? ... [See the attached questions file].

    Graphing, Trends and Forecasting

    5. (a) Plot the data on U.S. general aviation shipments. (b) Describe the pattern and discuss possible causes. (c) Would a fitted trend be helpful? Explain. (d) Make a similar graph for 1992-2003 only. Would a fitted trend be helpful in making a prediction for 2004? (e) Fit a trend model of your choice to the 1992-2003 data. (f

    Write the findings and explanation of this problem

    The graph of : f(x) = 0 The graph of : f(x) = a0 The graph of : f(x) = a0 + a1x What does the graph look like- describe the x placement. What is the graph function called? Give an example of a number you could place in for the variable x, and describe the shift from the original graph. Remember to not what your value you a

    Changing a graph transformation

    This is the question in my assignment. Give an example of a number you could place in for the variable x, and describe the shift from the original graph. Remember to note what your value you are calculating for the variable x. The complete assignment must include both the answers and the calculations. I have to graph the fo

    Lines, graphing, and break-even point

    1. Find the slope of the line 3x - y = 5. 2. Find the point of intersection of the lines 2x + y = 4 and 3x - y = 1. Graph the pair of lines. 3. A manufacturer produces items at a daily cost of $1.50 per item and sells them for $2.50 per item. The daily operational overhead is $500. What is the break-even point?