Friday

January 30, 2015

January 30, 2015

Posted by **Fernando** on Thursday, March 31, 2011 at 9:19pm.

a=

b=

Please help me with this one...

- Calculus (pleas help!) -
**Reiny**, Thursday, March 31, 2011 at 9:39pmyou know that f(1/8) = 1, that is, ...

1 = a(1/8)e^(b/8)

f'(x) = ax(b)(e^(bx) + a(e^(bx))

= e^(bx)(abx + a)

when x = 1/8 this is zero

0 = e^(b/8)(ab/8 + a)

ab/8 + a = 0 or e^(b/8) = 0, the last part has no solution

so ab/8 = -a

ab = -8a

b = -8

then in original, x = 1/8, b = -8

1 = (a/8)e^(-8/8)

8 = a(e^-1)

a = 8e

**Answer this Question**

**Related Questions**

Calculus - Find constants a and b in the function f(x)=axe^(bx)such that f(1/7)=...

Calculus - Find constants a and b in the function f(x)=axe^(bX) such that f(1/8...

calculus - Find constants a and b in the function f(x)=ax^b/(ln(x)) such that f(...

Calculus 1 - Find constants a and b in the equation f(x)= ax^b/(ln(x)) such ...

Calculus - Find constants a and b in the equation f(x)= ax^b/(ln(x)) such that f...

Calculus - Functions? - #1. A cubic polynomial function f is defined by f(x) = ...

Calculus - Find constants a,b, and c such that the function f(x)=ax^3+bx^2+c ...

calculus - a function has a local maximum at x=-2 and x=6 and a local minimum at...

calculus - a function has a local maximum at x=-2 and x=6 and a local minimum at...

calculus - Quadratic function written in standard form where a, b, and c are ...