rom the graphs of f and g in the igure, we find the folloning-(Assume that eah...
1. The graphs of f and g are given below. Use the graphs to answer the following questions. y=80) y = f(x) 1 की Graph of y = f(x) Graph of y = g(x) a) f(-1)+(-1) b) f(0) + 9(0) c) f(2) + 9(2) d) limg-2-(3) + g(x)) e) lim-1-((x) - 9(x)) f) lim +1+(f() - 9(x)) g) lime-1(f(x) - 9(x)) h) lim2+2x29(2) i) Find the point(s) of discontinuities of f(x). Explain why the function is discontinuous at those points....
please throughly explain each step.47.21. What does it mean for two graphs to be the same? Let G and H be graphs. We say th G is isomorphic to H provided there is a bijection f VG)-V(H) such that for all a, b e V(G) we have a~b (in G) if and only if f(a)~f (b) (in H). The function f is called an isomorphism of G to H We can think of f as renaming the vertices of G...
please explain, not just an answer. No cursive please. Suppose that we define a function f(x) in a piecewise manner - f(z) () for x < a and f(x) = h(x) for x > a. Here, assume that g(z) and h(z) are differentiable functions. Show that f is differentiable at a if and only if f(a) g(a) and f'(a) g'(a). Suppose that we define a function f(x) in a piecewise manner - f(z) () for x a. Here, assume that...
3. Below you are given the graphs of the functions f and g. Suppose that: u(x)-f(g(x)), v(x)-f(x) g(x), and w(x)-g(f(x)) Use the graphs to find the indicated derivatives. If the indicated derivative does not exist, write "D.N.E." in the space provided. Be sure to include work that shows how you arrived at your answer. 20 a) u'3) b) v-4) c) wl) 3. Below you are given the graphs of the functions f and g. Suppose that: u(x)-f(g(x)), v(x)-f(x) g(x), and...
3. At the beginning of 8.6, we investigated the graph of f(x) = ? and the graphs of several partial sums of its series 3x". You are now going to investigate the graphs of (-1)**(x - 2)", which is the series representation of the function f(x) = -centered at a = 2 a. Find the radius and interval of convergence (x - 2)". Show all your work. (3 points) b. Find the first five terms of Sn for Ž (-1)**(x-2)",...
Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that Rn(x) → 0.] Find the associated radius of convergence, R. f(x) = e−2x Please show all work, and explain it in great detail. Please be sure to include all rules, theorems, and algebra (even if you are performing simple multiplication, please still show it). Please do not use cursive. I am having a difficult time...
Referring to the graphs given below, use properties of limits to find each limit. If a limit does not exist then state that it does not exist. y = f(x) y = g(x) lim f(x)= lim g(x) = f(x) x- lim x+0 g(x) lim lim g(x) = lim [f(x)+g(x)] = x-1 lim f(x) = lim g(x) = lim --+ f(x) h- h derivative of f(x) = 2x² + 3x is f'(x) = 4x +3. The steps are what count here!...
show work please Use the graphs to evaluate the expressions below. gft fx) .3 f(9(4)) g(9(5))
(1 point) The figures below show the graphs of the exponential functions f(x) and g(x), and the linear function, h(x). The function f(x) has y-intercept 0.75 and goes through the point (1,6). The function g(x) has y-intercept 6 and goes through the point (2,6/49). The function h(x) has y-intercept 5 and goes through the point (a, a + 5). y = f(x) y = g(x) y = h(x) (Click on a graph to enlarge it.) help (formulas) (a) Find a...
We assume that our wages will increase as we gain experience and become more valuable to our employers. Wages also increase because of inflation. By examining a sample of employees at a given point in time, we can look at part of the picture. How does length of service (LOS) relate to wages? The data here (data81.dat) is the LOS in months and wages for 60 women who work in Indiana banks. Wages are yearly total income divided by the...