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    Graphs and Functions

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    Finding the intervals of increase, decrease for a given function

    1) the function given f(x)x^3-4x^2+x+1 through its graph, one has to find the intervals of increase and decrease. This is a multiple choice question 2)Another function given in this question is h(x)=x^4-6x^2-10 Please see the attached file for the fully formatted problems.

    Bode Plot

    Consider the following system in the attached file. Draw a Bode plot using MATLAB. Please see the attached file for the fully formatted problems.

    Transform of Density Function

    (See attached file for full problem description with proper symbols). The density function of r.v. X with p as a constant 0 <= p <= 1 What is the transform Mx(s)?

    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

    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

    Ploting a Quadratic Function

    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

    Quadratic Functions

    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

    Laurent Expansion Description

    (See attached file for full problem description) --- Find the Laurent expansion for ? centered at z=0 ? centred at z=3 ? centred at z=3 ---

    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

    implicit differentiation slopes

    Please find the problems attached. (See attached file for full problem description) Use implicit differentiation to find the slope of the tangent line to the curve at the point . ANSWER IS NOT -3/5! Identify the graphs A (blue), B( red) and C (green) as the graphs of a function and its derivatives: i

    Unity feed-back control system with feedforward transfer function

    Consider a unity feed-back control system with the following feedforward transfer function: G(s) = K(s^2+25)s/s^4+404s^2+1600 Plot the root locus (or root loci) for the system with MATLAB. Show that the system is stable for all values of K>0. Problem is also in the attached file.

    Cost, Revenue and Profit Functions and Break-Even Points

    See the attached file. 3. Antonio would like to invest $5,000. He has the choice of two accounts, one that pays 2.3% compounded continuously or the other that pays 2.5% compounded quarterly. Which account would yield the higher return? 4. A manufacturer of tennis shoes is planning a new line of shoes. For the first year, the

    Unity Feedback System and Closed-Loop Transfer Function

    Determine: a) the values of K and k of the closed-loop system shown in Fig. 1 (see attached file) so that the maximum overshoot in unit-step response is 25% and peak time is 2 sec., assume that J=1 kg-m^2 . Consider a unity-feedback control system with the closed loop transfer function. b) whether system is stable or not.

    Inequalities Word Problem : Revenue Function and Graphing

    A small gift shop is trying to determine the number of gift items it can sell to maintain a monthly revenue greater than $10,000. The revenue function for this business is R = -0.10N2 +70N, where R=monthly revenue and N=number of gift items sold per month. (Total: 4 pts) a. Write the inequality for what this business is

    Data table and graph for function with 4 parts

    A specialty-freezer company has determined that the operating costs at one of its plants can be approximated by the function: C = 0.35N2 - 20N + 2000 where C = daily operating cost (dollars) and N = daily production (freezers). a. Create a data table and graph of this function between N=0 and N=100 freezers. Use a