Practice Final Exam a

# Practice Final Exam a - Practice Final Exam for Math 1501...

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
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Practice Final Exam for Math 1501, Calculus I PART ONE – CORRESPONDING TO TEST ONE (I): Let f ( x ) = ( Ax- B if x ≤ 1, 3 x if 1 < x < 2, Bx 2- A if x ≥ 2 . (a) Determine all values of A and B that make this functions continuous. (b) Determine all values of A and B that make this functions continuous at x = 1 but discontinuous at x = 2. (II): Determine whether the following limits exist. When they do exist, evaluate the limit. (a) lim x →∞ ( √ x- √ x + 1) (b) lim x → sin 3 ( √ 2 x ) x 3 (c) lim x → 2 x ln( x )- 2 ln(2) x- 2 PART TWO – CORRESPONDING TO TEST TWO (III): Consider the curve given by x 4 + y 4 = 1 . (Note the fourth powers; this is not the unit circle.) (a) Find the points where the line y = 2 1 / 4 x crosses this curve. (b) Find the equation for the tangent line to the curve at each of the points found in part (a). (IV): A ladder 5 meters long is leaning against a wall. If the foot of the ladder is pulled away from the wall at a rate of 1 meter per second, how fast will the top of the ladder be...
View Full Document

## This note was uploaded on 02/07/2011 for the course MATH 1501 taught by Professor N/a during the Fall '08 term at Georgia Tech.

### Page1 / 3

Practice Final Exam a - Practice Final Exam for Math 1501...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online