This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: PRACTICE FOR TEST 2 1. If f ( x ) = x + 5 . Find f 1 its domain and range. 2. Prove that d dx cot 1 x = 1 1 + x 2 3. Suppose a scoop of ice cream is placed on a wa e cone such that the wa e cone and scoop of ice cream have the same radius. Suppose that the height of the wa e cone is 5 . cm and that the ice cream scoop is melting so that the change in radius of the ice cream scoop is . 12 cm/sec. Assume that the melted liquid falls entirely into the wa e cone. Find the rate of increase of the height of melted liquid in the wa e cone when the height of the liquid is 2 cm. 4. Find the linearization at 1 . f ( x ) = 1 3+ x 5. Two cars start moving from the same point. One travels south at the rate of 60 mi/h and the other travels west at the rate of 25 mi/h. At what rate is the distance between the two cars increasing two hours later? 6. Use linear approximation, i.e. the tangent line, to approximate 3 26 . 9 as follows: Let f ( x ) = 3 x . (a). Find the equation of the tangent line to....
View
Full
Document
This note was uploaded on 01/26/2010 for the course MAT 265 taught by Professor Lin during the Fall '08 term at ASU.
 Fall '08
 LIN
 Calculus, Cone

Click to edit the document details