Thursday

January 29, 2015

January 29, 2015

Posted by **Victoria** on Saturday, May 10, 2008 at 4:55pm.

(a) Find the value of the real constant, a. Find the function f(x).

(b) Find the stationary points of the function, then specify the intervals on which the function is increasing and those on which the function is decreasing

(c) Find the intervals on which f(x) is concave up, and those on which it is concave down.

- Maths -
**drwls**, Saturday, May 10, 2008 at 6:33pm1. Integrate the gradient function

ax^2-12x + 9 to get f(x), except for an arbitary constant C.

f(x) = (ax^3)/3 -6x^2 +9x + C

If (2,-3) is an inflection point, the second derivative of f(x) must be zero there.

2ax -12 = 0 @ x=2

ax = 6

a = 3

Use f(x) and the statement that y=-3 at x=2 to solve for C

(b) Stationary points occur where the derivative of f(x) is zero.

(c) f(x) is concave down where f''(x) < 0 and concave up where f''(x) >0

**Answer this Question**

**Related Questions**

Maths - a curve ahs parametric equations x=t^2 and y= 1-1/2t for t>0. i)find ...

calculus - let f be the function f(x) = x^3 + 3x^2 - x + 2 a. the tangent to the...

math - With regards to question J: The variables x and y are connected by the ...

Calculus - Maths - I got a few questions. Hope ya'll can help out. 1) for F(X...

calculus ..>steve - Given a function f(x)2/3x^3+5/2x^2-3x. a) Find i. The ...

Calculus (Urgent Help) - Okay, I need major help! Can someone tell me if these ...

Calculus - The number of people who donated to a certain organization between ...

calculus - I needed help with these FRQ in my APCalc course. Any help or ...

Diff Calculus - Find the interval(s) where the function is increasing of ...

Math - How can I determine a value of gradient from a graph if the line is ...