Wednesday

April 1, 2015

April 1, 2015

Posted by **Cad** on Sunday, April 3, 2011 at 4:15pm.

- Calculus -
**Damon**, Sunday, April 3, 2011 at 5:03pmy = a x^4 + b x^3 + c x^2 + d x + e

when x = 0, y = -1 so e = -1

so

y = a x^4 + b x^3 + c x^2 + d x - 1

for max or min

dy/dx = 0 = 4 a x^3 + 3 b x^2 + +2 c x + d

when x = -1

0 = 4 a (-1) +3b(1)+2c(-1)+d

1 = a (1) + b(-1) + c(1) +d(-1) - 1

when x = +1

0 = 4a + 3 b + 2c + d

1 = a+b+c+d-1

--------------------------------

start solving

0 = -4a+3b-2c+d

0 = +4a+3b+2c+d

-----------------

0 = 6b +2d

2 = a-b+c-d

2 = a+b+c+d

-------------

0 = -2b-2d

0 = 6b +2d

0 = -2b-2d

-----------

8 b = 0

b=0

then d = 0

(in fact from symmetry I bet all odd terms are 0)

now go back and get a and c

**Answer this Question**

**Related Questions**

Calculus - Find a formula for the fourth degree polynomial p(x) whose graph is ...

calculus - Find a formula for the fourth degree polynomial p(x) whose graph is ...

calculus - fourth degree polynomial p(x) whose graph is symmetric about the y-...

Calc - Im not getting these answers at all, please help. Find a formula for the ...

College Algebra - 1.The graph of y = - 1/2 |x - 5| - 3 can be obtained from the ...

Calculus (pleas help!!!) - Let p(x)=x^2(a−x), where a is constant and a ...

Pre-Calculus-check answers - The graph of the equation y=x^3-x is symmetric with...

Algebra - Find the equation of the line, in slope-intercept form, that satisfies...

math - Write a slope-intercept equation of the line whose graph is described ...

basic calculus - use the first and second derivatives to find the x-coordinates ...