Maths mst

Question – 2: Consider the function,f(x) = (2/x+2)+4exp(-2x).

(a) Find the area under the graph,A,and the average value,W, of the function,f(x),in the interval,[2,5].

(b) Find, f'(x), f''(x-2),and,f'(0) .

(c) If, g(x) = x^2-1,find f(g(x)),and
d/dx(f(g(x)) ?

  1. 👍 0
  2. 👎 0
  3. 👁 154

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    compare the parent function f(x)=x^2 to the quadractic function f(x)=-2x^2-6. the 6 in the function does which of the following? makes the graph narrower than the parent function. makes the graph wider than the parent

  2. algebra

    3. write the function whose graph is the graph of y=sqrt of x, but is shifted to the left 3 units y=____ 4. write the function whose graph is the graph of y=|x|, but is shifted down 8 units y=___ 5. write the function whose graph

  3. Gr.11 - Rational functions graphing.

    1. Identify a rational function whose graph is a horizontal line except for two holes. Graph the function. 2. Identify a rational function who graph lies entirely above the x-axis and has a single vertical asymptote. Graph the

  4. Math

    A quadratic function has a vertex of (3,-6) and the point (-1,10) lies on the graph of the function. Write the function in standard form. If you could help me with this question, that would be great. Thanks in advance.

  1. Calculus - Functions?

    #1. A cubic polynomial function f is defined by f(x) = 4x^3 +ax^2 + bx + k where a, b and k are constants. The function f has a local minimum at x = -1, and the graph of f has a point of inflection at x= -2 a.) Find the values of

  2. algebra

    2. The function f is defined as follows f(x)={4+2x if x0 a) Find the domain of the function b) Locate any intercepts c) Graph function d) Based on graph find range e) Is f continuous on its domain? a) The domain of the function f

  3. Calculus

    Use a symbolic differentiation utility to find the derivative of the function g(x)=xã((x^2)+1). Use the utility to graph the function and is derivative on the same set of coordinate axes. Describe the behavior of the function

  4. hi calculus asap

    the graph of a piecewise linear function f, for -1

  1. Calculus

    Let f be the function given by f(x)=(x^3)/4 - (x^2)/3 - x/2 + 3cosx. Let R be the shaded region in the second quadrant bounded by the graph of f, and let S be the shaded region bounded by the graph of f and line l, the line

  2. Math

    Given: f(x) = 8 - 4x A. Find f(-2) B. Find x, when f(x) = 8 C. Graph the function. D. State the domain and range of the function. E. Use the graph to find x, when f(x) = 0. Show details on the graph. F. Use the graph to find f(x)

  3. Calculus (Continuity and Differentiability)

    Okay. So I am given a graph of a derivative. From what I can gather, it looks like the function might be abs(x-2)-4. (I was not given an explicit function for g', just its graph.) The question then goes on to ask me: Is it

  4. Algebra

    Given: f(x) = 8-4x A. Find f(-2) f(2) = 8-4(-2) B. Find x, when f(x) = 8 8-4x = 8 C. Graph the function. ( a graph that has 20X and 20Y as the max numbers) D. State the domain and range of the function. (confused on what to do

You can view more similar questions or ask a new question.