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: + 1 = 0 prove that the equation a + a 1 x + a 2 x 2 + ..... + a n x n = 0 (1) has atleast one solution in the interval (0 , 1). Problem 5. Suppose that f is a continuous function on [0 , 2] such that f (0) = f (2). Show that there is a real number [1 , 2] with f ( ) = f ( 1). Problem 6. The axes of two right circular cylinders of radius a intersect at a right angle. Find the volume of the solid of intersection of the cylinders. Problem 7. Let f be a real valued function such that f,f ,f 00 are all continuous on [0 , 1]. Prove that the series X k =1 f ( 1 k ) is convergent if and only if f (0) = f (0) = 0....
View Full
Document
 Spring '08
 Keeran
 Calculus, Geometry

Click to edit the document details