(a) Suppose the graph in Figure 4.1.78 is that of a function g(x). Sketch the graph of the derivative g; (b) On the other hand, suppose the graph above is that of the derivative of a function f. For the interval ..., tell where the function f is (i) increasing; (ii) decreasing. (iii) Tell whether f has any extrema, and if so
For the function of f, given below in graph (a) Sketch (b) Where does change its sign (c) Where does have local minima and maxima Using the graph of write a brief description of complete sentences to describe the relationship between the following features of the function of: (a) the local maxima and minima o
Consider an open-top box with a square base and a volume of 108 cubic inches. Let x be the length of a side of the base. a) Calculate the height h as a function of x. Is this function even, odd, or neither? b) What is the domain of the function above? (Note that there may be physical and/or mathematical restrictions.)
Consider the function f(x) = 2sinx + e^-x - 1 on the interval r E [?2,2]. If you plot the function, you will see that it has two roots on this interval (a) Write down a first order fixed point method for finding one of the two roots. (b) Will this fixed point method converge for both of the roots (Justify)? If it does not co
Hi. Is the statement below TRUE or FALSE. Why? Question : I have a connected weighted undirected graph G with a minimum spanning tree T. If I increase the weight of one edge, the new minimum spanning tree T' of the new graph G' differs from T in at most one edge.
Here is a question on finding the vertical asymptotes g(x)=x+3/x(x-3) Can you show me a horizontal asymptote as well? f(x)=12x/3x^2+1.
The monthly revenue achieved by selling x boxes of candy is figured to be x(5 - 0.05x) dollars. The wholesale cost of each box of candy is $1.50. a) How many boxes must be sold each month to achieve a profit of at least $60? b) Using a graph in utility, graph the revenue function. c) What is the maximum re
A open box with a square base is required to have a volume of 10 cubic feet. a) Express the amount A of material used to make such a box as a function of the length x of a side of the square base. b) How much material is required for a base 1 foot by 1 foot? c) How much material is required for a base 2 feet by 2 feet? d) Gr
I have found the number of deaths in the United States due to each medical condition in each of the following years. 1985 1990 1995 2002 Heart Disease 390,000 720,000 850,000 960,000 Cancer 200,00 505,000 547,000 555,000
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
State the solution set using interval notation and graph the solution set. Please check these for me and graph them. I do not know how to use a graphing tool. If you also have any advice on how & what tool I can use to graph, it would be helpful. Please do not handwrite the Graphs because I can not view scanned photos
Define then; Let W = the set of whole numbers F = the set of (non-negative) Fractions I = the set of integers Q= the set of rational numbers R =the set of real numbers Question List all of the sets that have the following properties. (a) 5 is an element of the set(s)? (b) -1/2 is an e
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?
Important Formulas and their Explanations (II): Gradient, Divergence and Curl Gradient of the differnece of two scalar point functions.
20 Problems : Solving equations, graphing equations, finding domains, simplyfing and determine the inverse of f using switch and solve strategy
Please see the attached file for the fully formatted problems. Includes: Solving equations, graphing equations, finding domains, simplyfing, determine the inverse of f using the switch and solve strategy. Thanks for your help!
SOLVE (roots): 3X^2 - 3X - 5 GRAPH: 3X^2 - 3X - 5
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
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.
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:
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
What is the "causal relationship" between independent and dependent variable?
Find the slope-intercept form of the linear equations that go through the following points: (-1,6) and (1,2) also through points (5,3) and (-2,3).
1. Given the quadratic equation y=-x2 + 8x + 9 a. Find the x and y coordinates of the vertex b. What is the y-intercept? c. What are the x-intercepts? d. If you graph the parabola, would it open up or down? 2. You have enough grass seed to cover an area of 300 square feet. You want to install fencing around the a
Can the graphs (attached) be classified as functions? Explain. (A graph, using smooth lines that connect data in the graph)
Any help is greatly appreciated; I found this problem pretty frustrating. I replaced the "less than" symbol with the words "less than" because the computer seemed to have a hard time recognizing the symbol. "For a fish swimming at a speed v relative to the water, the energy expenditure per unit time is proportional to v^3.
1. The demand for a product in dollars is given by p(x) = 53/(x)^1/2 Fixed cost are $608 and the cost to produce each item is $0.53. Find the production level of x that maximizes profit within the range of 0<(or equal to)x< (or equal to)7530. 2. An efficiency study of the afternoon shift (12:00-4p.m.) at a factory shows th
This question concerns the parabola which is the graph of the function: f(x) = [1/4(x-2)^2] -1 a) Explain how the graph of the parabola can be obtained from the graph of y =x[squared] by using appropriate translation and scalings. b) Using your answer to part (a), or otherwise, write down the coordinates of the vertex of th
Please explain sine, cosine, tangent, cotangent functions and inverse trigonometeric functions like arcsin, arccos, arctan and arccot functions with graphics.
Please find the attached. 1) Fit a polynomial Function f(x) to the graph. The scale on the x-axis is 1 and the scale on the y-axis is 5. The point (1,12) is on the graph, Assume that if the graph appears to cross the x-axis at a mark, it really does. (1,12) 3 2 1 4 2) Noise level in decib