Sunday

February 1, 2015

February 1, 2015

Posted by **Jacob** on Wednesday, February 27, 2013 at 7:08pm.

Determine the constants a and b such that f has a relative maximum at x = 2 and the relative maximum value is 13.

- Applied Calculus -
**Steve**, Thursday, February 28, 2013 at 12:23amf'(x) = -2x+a

if f'=0 at x=2, then a=4

f(x) = -x^2 + 4x + b

f(2) = 13 = -4+8+b

b=5

f(x) = -x^2 + 4x + 5 = -(x+1)(x-5)

vertex is at x=(5-1)/2 = 2 as desired

**Answer this Question**

**Related Questions**

calculus - If g is a differentiable function such that g(x) is less than 0 for ...

differentiability - If g is a differentiable function such that g(x) is less ...

Calculus - Find the values of x that give relative extrema for the function f(x...

calculus - Let f(x)=ax^3+6x^2+bx+4. Determine the constants a and b so that f ...

calculus - A polynomial function p(x) has a relative maximum at (3, -4) a ...

Please check my Calculus - 1. Find all points of inflection: f(x)=1/12x^4-2x^2+...

Calculus - Find the relative extrema, if any, of the function. Use the second ...

Calculus - Let f(x) be a polynomial function such that f(-2)=5, f’(-2)=0 and f...

Calculus - Let f(x) be a polynomial function such that f(-2)=5, f'(-2)=0, and f...

Calculus AB - Find a, b, c, and d such that the cubic function ax^3 + bx^2 + cx...