{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MA 121 ASSIGNMENT 2b

# MA 121 ASSIGNMENT 2b - MA 121 ASSIGNMENT 2 Please show all...

This preview shows pages 1–3. Sign up to view the full content.

MA 121 ASSIGNMENT 2 Please show all of your work in answering the following: 1. Let f ( x ) = x 3 + 6 x 2 + 9 x a) Find the intervals on which f is increasing or decreasing. b) Identify all relative extrema c) Find the intervals on which f is concave up or concave down d) Sketch the curve 2. Find the absolute maximum and the absolute minimum of f ( x ) = x 2 6 x + 9 on the interval [ 1, 6 ]. 3. Sketch the graph of f ( x ) = x 2 + 1 x , identifying relative extrema, inflection points, asymptotes, etc. 4. Find y when a) y = 5 + x 2 e x b) y = e 2 x 3 2 x + 1 c) y = ( e 3 x + 2) 5 d) y = 2ln7 x e) y = ln x 2 + 1 x + 2 f) y = 7 3 x g) y = x 4 4 x h) y = ln( x 4 3 x 2 ) ( x 5) 3 5. The half life of cobalt-60 is 5.3 years. a) Find its decay rate. b) If you initially have 20 grams of this material, how long until only 15 grams remain? 6. An open box is to be constructed from a piece of cardboard that is 30 in. by 30 in.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}