Tarea De Clase Uniform Converges
(See attached file for full problem description with equations) --- 1.- Let , . Does is uniformly converge on (-1,1)? --- We use the book Methods of Real Analysis by Richard Goldberg.
(See attached file for full problem description with equations) --- 1.- Let , . Does is uniformly converge on (-1,1)? --- We use the book Methods of Real Analysis by Richard Goldberg.
Let {fn(x)} n-1 ---> infinity be a sequence of continuous functions [0,1] that converges uniformly. a) Show that there exists M>0 such that |fn(x)|<= M (nЄI 0<x<1) b) Does the result in part (a) hold if uniform convergence is replaced by pointwise convergence?
Find inflection points for the following functions: (1) f(x) = (x^2) * [e*(17x)] (2) f(x) = (x^2 - 4x + 40) * (x-2)
Please show details of how to arrive at the solutions so I can understand how to do similar problems. (See attached file for full problem description with equations) --- (1) Given that the polynomial function has the given zero, find the other zeros. (2) Find the horizontal asymptote, if any, of the rational function.
1. From the function f (x)=IxI How would I go about finding its image set using interval notation? 2. Again using interval notation, how would I go about finding the image set of the graph g(x)= Ix+3I -2 ? And how then would I go on to solve the equation g(x)=1, and discover if it had any geometrical significance? 3. How
Say I have for example a circle with centre C(7,-5) passing through point A(6,-3) (With tangent line and radius, AC, being perpendicular.) 1. How would I go about finding the gradient of the tangent? 2. How would I go about finding that the equation of the tangent at A is the line x=2y+12 ? 3. And how would I go about find
Find the point on the graph of the function that is closest to the given point Function: f(x) = square root of x Point (4,0)
Please explain how to create a function whose graph has the indicated characteristics for each of a and b (a) Vertical asymptote: x = 5 Horizontal Asymptote: y = 0 (b) Vertical asymptote: x = 5 slant asymptote: y = 3x +2
For each of the following equations, would you please state the intervals for which it is concave up and for which it is concave down? y = 10xe^-x f(x) = x^2 - 4/x + 1
Please give an example or two of why the following statement is false. If the graph of a function has three x intercepts, then it must have at least two points at which its tangent line is horizontal.
(See attached file for full problem description with equation) --- Solve this problem. Explain why has a root, and indicate an interval where this root lies. ---
The total profit, p(x) in dollars for a company to manufacture and sell x items per week is given by the function p(x)=-x^2+50x - Graph the function and label the x and y-intercepts on a scale where y-axis ranges from -100 to 900 and x-axis ranges from 0 to 55 - What is the maximum profit earned by the company in a week?
My definition goes: If the function has its derivatives at point (a,b) then the function is differentible at (a,b) How do you prove on the basis of the definition, the function f defined by f(x,y)=xy(x+y) is differentiable at every point of its domain?
Suppose that functions f,g : [a,b] -> R are continuous, satisfy f(a) <= g(a) and f(b) >= g(b). Then there exists a real number c in [a,b] such that f(c) = g(c). Label the statement as true or false. If it is true, prove it. If not, give an example of why it is false and if possible, correct it to make it true.
Fixed point of a compressing function on metric space See attached file for full problem description with symbols. Let M= [0, with the absolute value metric Let Show that but that has fixed point.
Let G be an undirected graph, and let T be the spanning tree genereted by a depth-first search of G. Prove that an edge of G that has no corresponding edge in T cannot join nodes in differect branches of the tree, but must necessarily join some node v to one of its ancestors in T.
1. For medical purposes the level of sugar was measured in blood (in mg/dl). The samples were taken with 1 2hr increments, as the following table shows: initial sample 96 mg/dl after 30 min. 133 mg/dl after 60 min. 142 mg/dl after 90 min. 81 mg/dl after 120 min. 87 mg/dl Graph in MATLAB sugar curves corresponding to thes
Please sketch a graph of an arbitrary function f that satisfies the given condition but does not satisfy the conditions of the Mean Value Theorem on the interval [-5,5] f is not continuous on [-5,5]. Please offer as much explanation as practicable.
Please state whether the statements are true or false, and if false, why. If the graph of a function has three x intercepts, then it must have at least two points at whch its tangent line is horizontal. If f'(x) = 0 for all x in the domain of f, then f is a constant function.
Find any critical numbers of the function. h(x) = sin^2x + cosx 0 is less than x which is less than 2pi.
Graph f(x) = 5x^2 / (x^2) + 2 I need to know the x and y intercepts and all known asymptotes.
Let F(x) = x^.5 find the point on the graph that is closest to the point (4,0) write the complete ordered pair.
(See attached file for full problem description with equations) --- Find the maximum value of the function subject to the constraint . Use the result to prove that Use a similar method to prove that for any positive numbers ,... ---
1. If f(x) = 4x2 - 12x + 9 for x ≥ 0, what is f-1(9)? Please see the attached file for the fully formatted problems.
What is the slope of the line passing through the two points (2,3) (0,6)?
If X is a connected space containing more than one point, and if {x} is closed subset for every x is a member of X show that the number of points in X is infinite.
Find equations for the tangent plane and normal line of f(x,y)=6-3x2-y2 at the point P(1,2,-1). ---
1. F(x) = -2cosθ 2. f(x)= -tanθ - 2 3. f(x) = (θ + pi/4)
The graph of f(x) = 2x^3+9x^2-108x+14 has two horizontal tangent lines. Find the two values of x where the tangents occur.
1. If Q(x) = -P(x), do P(x) and Q(x) have the same zeros? Why or why not 2. graph f(x) = + 5x+ 4 be sure to label all the asymptotes and to list the domain the x and y- intercept 3. f(x) = +3, x a. sketch the graph and use the graph to determine whether the function is on