This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: f ( x + h ) = f ( x ) + f ( h ) + x 2 h + xh 2 for all x, h ∈ R . Suppose that lim h → f ( h ) h = 1. (a) ±ind f (0). (c) ±ind f p ( x ). 6. (15 points) Suppose that ABCD is a trapezoid with the sides AB and CD parallel. Suppose that  AB  is increasing at a rate of 1 cm/min ,  CD  is decreasing at a rate of 3 cm/min and the height h of the trapezoid is increasing at a rate of 1 cm/min . Find the rate at which the area of the trapezoid is changing at an instant when  AB  = 5 cm ,  CD  = 7 cm and h = 3 cm . 7. (15 points) Consider the curves x n + y n = 2 xy where n ≥ 3 is an integer. Show that all of these curves have the same tangent line through the point (1 , 1). Find an equation of this line....
View
Full Document
 Spring '11
 various
 Calculus, Geometry, Limit, Analytical Geometry I.

Click to edit the document details