math
posted by gibbs
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 xaxis between the lines x=1 and x=1
Respond to this Question
Similar Questions

extreme value of absolute.....
find the extreme values of the function on the interval and where they occur. f(x) = x1x5, 2<=x<=7 How do I do this? 
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 … 
Calculus
1. Given the function f defined by f(x) = x^3x^24X+4 a. Find the zeros of f b. Write an equation of the line tangent to the graph of f at x = 1 c. The point (a, b) is on the graph of f and the line tangent to the graph at (a, b) … 
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^21) 3. Use DeMeoivre's theorem to simplify the following expressions [(Cos pie/3 + isin pie/3)^5 (cos 2pie/3 isin 2pie/3)^4]/ … 
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^21) 3. Use DeMeoivre's theorem to simplify the following expressions [(Cos pie/3 + isin pie/3)^5 (cos 2pie/3 isin 2pie/3)^4]/ … 
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 tangent … 
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 
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) 
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) 
MATH TRIGONOMETRY
refer to the polynomial function f(x)= x(x1)(x+2) in anwering the folloowing questions. 1.what is the y intercept?