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
 Fall '08
 LIN
 Calculus, Approximation, Cone, ice cream, wa1Fe cone

Click to edit the document details