2. The graph of u = f(t) is given. (a) Graph A(a), B(x) and C(a) on...
2. Consider the following 1-D wave equation with initial condition u (x, 0)- F (x) where F(x) is a given function. a) Show that u (x, t)-F (x - t) is a solution to the given PDE. b) If the function F is given as 1; x< 10 x > 10 u(x, 0) = F(x) = use part (a) to write the solution u(x, t) c) Sketch u(x,0) and u(x,1) on the same u-versus-x graph d) Explain in your own...
The graph of a function y=f(x) is given below
a) Find the domain and range
b) Find the absolute maximum and the absolute minimum,
if they exist
c) Identity any local maximum or local minimum
values
a function y = f(x) is given below. 2 (0,2) (1.1) (5.0) 13 and range
3. The graph of F(x)-2 with restricted domain [-2,3] is given. Use Desmos to find two formulas for each of the dotted graphs, one of the form y = F(x-h) + k, the other of the form y = (x-h)2 + k. https://www.desmos. com/calculator/i21 sǐwzfir 15 10 a. b) y (c) y 10 4. Assume the domain of g(x) is [-23) and range is [-8,2]. (a) What are domain and range of y g(x) - 6? (b) What is domain...
Consider the function y=f(x) whose graph is given below. Identify the following: A. domain: B. range: c. lim f(2)= D. lim $(=) E lim f(x) & lim f(x) G. lim f(z)- H. lim f(z) 1. lim f(1) J. Lim f(x)= K vertical asymptote(s): L. horizontal asymptote(s):
need help
Given the function f(x) = VX-7, (a) Find f '(x). (b) Graph fand in the same rectangular coordinate system. (c) Use interval notation to give the domain and the range of fandf (Hint: To solve for a variable involving an nth root, raise both sides of the equation to the nth power,
Problem 1 The function P(x) is given as a graph, Find the domain of P Find the range of P Evaluate P(2) For what value of x is P(x) = -1 . -5-4-3-2-1 12 34 5 P(x) . Problem 2 Write a function f as a set of ordered pairs with the following domain and range Domain: (2,-3,0) Range: (6,2,1.5, -1} Evaluate f(0)
Problem 4: (Numerical Integration) Given: u(x)-f (x)+K(x.t) u(t) dr Where a and b and the function f and K are given. To approximate the function u on the interval [a, b]. a partition j a < xi < < x-1 < x-= b is selected and the equation: u(x)- f(xK(x,t) u(t) dt. for eaci 0-.m Are solved for u(xo).ux)u(). The integrals are approximated using quadrature formulas based on the nodes tgIn this problem, a-0, b1, f (x)-, and In this...
please show work
59 Graph the given function over the interval [-2π,2π]. State Domain f(x) 3sinax Domain: Range: D. Graph the given function over the interval [-2π,2π]. State D e- f(x)= cosx-2
59 Graph the given function over the interval [-2π,2π]. State Domain f(x) 3sinax Domain: Range: D. Graph the given function over the interval [-2π,2π]. State D e- f(x)= cosx-2
1.) The graph of the function f(x) is given below. tr { LL Ý V Ý Ý t a. Find the intercepts of the graph. b. Find the domain and range. c. Determine the open intervals in which the function is increasing. decreasing, or constant.
7. The graph of g(x) is given below. State the domain and range of g(x) using interval notation. 9(2) 27 a. (4 pt) Give the domain and range of g(x). DOMAIN RANGE b. (6 pt) Use transformations to draw the graph of y = g( x) +1. 11. Given the polynomial graph below, answer the following. a. (2 pt) is the degree of the function even or odd? Explain how you know. b. (2 pt) is the leading coefficient positive...