(See attached file for full problem description) 1) An open-top box is to be constructed from a 4 foot by 6 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. a) Find the function V that represents the volume
1. Apply the slope-predictor formula to find the slope of the line tangent to y = f(x) = (2x+4)2 - (2x-4)2. Then write the equation of the line tangent to the graph of f at the point (3, f(3)). My attempt... I found y first by: f(x) = (2x+4)2 - (2x-4)2 f(x) = (4x2+16x+16) - (4x2-16x+16) f(x) = (4x2+16x+16) + (-4x2+
Solve the following equations and show your work: 1) sqrt of x - 2 = 1 2) sqrt of x^3 = 27 3) 3 sqrt of x^2 = 9 4) Is (sqrt of x)^2 an identity (true for all nonnegative values of x)? x -2 -1 0 1 2 y .111 .333 1 3 9 Given the table above, graph the function, identify the graph of the function (line, parabol
For the equation x- 2√x = 0, perform the following: Solve for all values of x that satisfies the equation. Graph the functions y = x and y= 2√x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
For the function, y= 1 ---- x-2 a) Give the y values for x = -2, -1, 0, 1, 2, 3. b) Using these points, draw a curve. Show graph here. Please explain how to plot the graph, once I find the y values, x is already given. Please explain and show in detail how t
Section 3.1 # 94 Demand equation. Helen's Health Foods usually sells 400 cans of ProPac Muscle Punch per week when the price is $5.00 per can. After experimenting with the prices for some time. Helen has determined that the weekly demand can be found by using the equation D=600-40p, Where d is the number of cans and p is the
Week 3 Discussion Questions-Linear Equations in 2 Variables 1. Paul and nine other students are taking a math class. He is worried about the content of the next quiz because he just can't solve those word problems. The teacher has said that the number of questions divided by the number of students = 2.8, and 14.3 % of the tes
1) Solve the following equations. a) Answer: Show work in this space. b) Answer: Show work in this space. c) Answer: Show work in this space. 2) Is an identity (true for all nonnegative values of x)? Answer: Explain your answer in this space. 3) x -2 -1 0 1 2 y .111
Y=x^2-6x+8 in to the form y=a(x-h)^2+k How do you change the function? This initial problem is followed by: a) What is the equation for the line of symmetry for the graph of the function. (I think I can solve this ) Please explain and show in detail how to break this down in (dummy language) b) Asks that the functi
Find a value for C so that f(x) is continuous for all of x. See attached file for full problem description.
1) a) Given the above graph, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function. Graph Type: Explantation: Domain: Range: b) Given the above graph, identify the gr
In most businesses, increasing prices of products can negatively impact the number of customers. A bus company in a small town has an average number of riders of 800 per day. The bus company charges $2.25 for a ride. They conducted a survey of their customers and found that they will lose approximately 40 customers per day for e
1. (a) - (c) Given the graph, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function. 1. (d) Given a line containing the points (1,4), (2,7), and (3,10) determine the slope-in
1. The equation x - 3 ln x = 2 has exactly two solutions A and B, with 0 < A < B. (You do not have to show this.) (a) Show that A is in [0.5,0.7], and B is in [8.3,8.5]. (b) Consider the following fixed-point iteration for finding a solution of the given equation: xn+1 = e(1/3(Xn-2)): Show that if X0 = B+ E, where E is
A rancher is building a rectangular corral and is using one wall of his barn as one of the sides. Because the barn wall is quite long, he needs fencing only along the other three He has 500 feet of fencing. The rancher wants the area of the conal to be as large as possible. should he choose as the dimensions of the corral? (Don'
Determine graphically using excel whether the equation could be possibly be an identity. If it can prove that it is. Here is an example of what I am working on at this time. Please explain how? cos 8x = cos^2 4x - sin^2 4x
Find the slope of the tangent line to the graph of y= ln[x*e^x] at the point where x=3.
Determine whether f (x)= (x-b)/a is one-to-one; if it is, find f^-1.
Given f (x)= sqrt[3x^3-1], find f^-1 (x).
Using Excel to graph, prove whether the following equation could possibly be an identity or determine if it is definitely not an identity. Here is the problem: cos t(pi/2 +1)= -sin t
Find the equation of the plane through the point (1,2,-2) and containing the line x=2t, y=3-t, z=1+3t
Find the parametric equations for the line through the point (1,0,-1) and parallel to the line (1/3)(x-4) = (1/2)y = z+2
Identify and graph the conic. Then rewrite it in Cartesian coordinates. r = 3/[4+sin(theta)]
Prove that if f is an increasing real-valued function on an open interval (a, b), then, for all but at most countably many points c in (a, b), Lim_(x-->c) f(x) exists and is equal to f(c).
Relate the application to the specific graph (line, parabola, hyperbola, exponential). Describe the characteristics of each application as related to the graph.
First, I am looking for an example of a monotone function with (a,b)-->R that is unbounded and then I need to verify that the function has lim_x-->c^+ less than or equal to Lim_x-->d^- whenever a < c < d < b keywords: monotonic
I have a function that is differentiable on [a,b] and I am trying to figure out which scenario is more restrictive: a) the function is a Lipschitz function with a Lipschitz constant L in (0,1) or b) the absolute value of f'(x) is less than one for all x in [a,b]
x Prove that if f is continuous and strictly positive on [a,b] and F(x)=∫f then F is strictly increasing on [a,b]. a
For a given function f, let f^+(x)=max{f(x), 0} and f^-(x)=max{-f(x), 0} Prove that for any function f, f=f^+ - f^- and |f|=f^+ + f^- Please see the attached file for the fully formatted problems.
A) Sketch the Graph of y = cosx in the range -Pi < x < Pi. Hence Sketch the graph of y= |cosx| in the same range. B) Find the mean Value of y= |cosx| in the range -Pi < x < Pi P.S. its the |cosx| thats confusing me - I have never seen this format before.