Saturday

September 20, 2014

September 20, 2014

Posted by **Equihua** on Friday, January 4, 2013 at 2:38pm.

A.On what intervals is g increasing? Justify your answer.

B.On what interval is g concave upward? Justify your answer.

C.Find the value of k for which g has 5 as its relative minimum. Justify your answer.

- calculus -
**Steve**, Friday, January 4, 2013 at 3:10pmg = x^4 - 4x^3 + 6x^2 – 4x + k

g' = 4x^3 - 12x^2 + 12x - 4 = 4(x-1)^3

g'' = 12x^2 - 24x + 12 = 12(x-1)^2

g increasing where g' > 0: x>1

g concave up where g'' > 0: all real x

g(x) = (x-1)^4 + (k-1)

so, if g(1) = 5, k=6

**Answer this Question**

**Related Questions**

Math - For x [–14,13] the function f is defined by f(x)=(x^3)(x+6)^4 On which ...

calculus - find the intervals on which the function is increasing, decreasing, ...

calculus - For x ∈ [−12, 10] the function f is defined by f(x) = x7(...

Pre-Calculus - Determine the open intervals on which the function is increasing...

Calculus - find the intervals where the function is increasing and the intervals...

Calculus - Consider the function f(x) = x - lnx. Find the intervals on which f(x...

Calculus - Consider f(x)=200+8x^3+x^4. find the intervals on which function is ...

Calculus - Can you check my answer? Solve the separable differential equation: ...

Calculus - Given that C(x)=2x^3-21x^2+36x+1000 is a cost function, determine the...

Calculus PLEASE HELP - Given that C(x)=2x^3-21x^2+36x+1000 is a cost function, ...