{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# ptest2A - 2 a meter in radius Estimate the change in volume...

This preview shows page 1. Sign up to view the full content.

Name: Practice Test 2A for MTH 151K 1. Evaluate y : (a) y = sin 2 (ln x ). (b) y = ln t t 2 . (c) y = (sin x ) x . (d) y = 3 radicalbig ( x 3 + 1)( x + 1) 3 . 2. Find y : (a) y = x 2 arctan x . (b) y = arcsin( x 3 ). (c) y = arctan x 1+ x 2 . 3. Prove the following differentiation formula: d dx [arctan x ] = 1 1 + x 2 . 4. A 10-foot-long ladder leans against a vertical wall. The base of the ladder begins to slide away from the wall at the rate of 2 feet per second. How quickly is the top of the ladder sliding down the wall at the instant when the base of the ladder is 6 feet away from the wall? 5. A cylinder initially measures 2 meters in height and 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: / 2 a meter in radius. Estimate the change in volume if the radius of the cylinder is increased to 9 / 16 of a meter. 6. Find the maximum and minimum values of the function on the given interval: f ( x ) = x 3-x ; [-1 , 1] . 7. Find the maximum and minimum values of the function on the given interval: f ( x ) = x 1 + x 2 ; [0 , 3] . 8. Show that the following equation has exactly one solution: 2 x 3 + 3 x 2 + 6 x + 2 = 0 ....
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online