math

The function f(x)= ax^3 - bx +c passes through the origin, f(-1)=4/3 and it has an extreme point at x=1
(i) Find the values of a, b and c.
(ii) Sketch the graph
(iii) Find the area bounded by the graph of f(x) and the x-axis between the lines x=-1 and x=1

asked by gibbs

Respond to this Question

First Name

Your Response

Similar Questions

  1. maths

    1. Prove using mathematical induction that 1+2+3+...+n=[ n(n+1)]/2 2. Find the derivative of 2^x^2+log2(2x^2-1) 3. Use DeMeoivre's theorem to simplify the following expressions [(Cos pie/3 + isin pie/3)^5 (cos 2pie/3- isin
  2. maths

    1. Prove using mathematical induction that 1+2+3+...+n=[ n(n+1)]/2 2. Find the derivative of 2^x^2+log2(2x^2-1) 3. Use DeMeoivre's theorem to simplify the following expressions [(Cos pie/3 + isin pie/3)^5 (cos 2pie/3- isin
  3. math (4)

    Sketch the graph (Do this on paper. Your teacher may ask you to turn in this graph.) and find the area of the region bounded below by the graph of the function and above by the x axis from x = 0 to x = 1. f(x) = -xe^(-x^2) x=0 x=1
  4. math (4)

    Sketch the graph (Do this on paper. Your teacher may ask you to turn in this graph.) and find the area of the region bounded below by the graph of the function and above by the x axis from x = 0 to x = 1. f(x) = -xe^(-x^2)
  5. math (4)

    Sketch the graph (Do this on paper. Your teacher may ask you to turn in this graph.) and find the area of the region bounded below by the graph of the function and above by the x axis from x = 0 to x = 1. f(x) = -xe^(-x^2)
  6. extreme value of absolute.....

    find the extreme values of the function on the interval and where they occur. f(x) = |x-1|-|x-5|, -2<=x<=7 How do I do this? Sorry for double post. I really need to do this, I don't see an easy way. You can graph it, there
  7. Math

    Given the following LP model (represented abstractly with decision variables X and Y), find the optimal solution using the ‘graphing’ approach. Minimize 5X + 2Y Subject to: 4X + 2Y >= 80 3X + 4Y <= 132 X + 3Y >= 45 2X
  8. math (4)

    Sketch the graph (Do this on paper. Your teacher may ask you to turn in this graph.) and find the area of the region bounded below by the graph of the function and above by the x axis from x = 0 to x = 1. f(x) = -xe^(-x^2) Note:
  9. math

    With regards to question J: The variables x and y are connected by the equation y = x2 - x - 5. Some corresponding values of x and y are given in the table below. x -4 -3 -2 -1 0 1 2 3 4 5 y 15 7 a -3 -5 b -3 1 7 15 (a) Calculate
  10. MATH TRIGONOMETRY

    refer to the polynomial function f(x)= -x(x-1)(x+2) in anwering the folloowing questions. 1.what is the y intercept? 2.what is the behavior of the left end of its graph? 3.will the graph pass through the origin? 4,what is the

More Similar Questions