fall 05 test

# fall 05 test - MATH 140 FINAL EXAMINATION, FORM A DECEMBER...

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: MATH 140 FINAL EXAMINATION, FORM A DECEMBER 2005 1. Evaluate lim x x 3 cos 2 x . a) The limit does not exist. b) 1 c) 2 d) e) 2. Evaluate lim x 4 sin( x + 3 sin x ). a) 1 b)- 1 c) 4 d) e) 3. Find the slope of the tangent line to the curve y = 5 x 3 at the point (2 , 40). a) lim h 5(2) 3 + 40 h b) lim h 5(2 3- h 3 ) h c) lim h 5(2 + h ) 3- 40 h d) lim h 5 h 3- 40 h e) The slope does not exist. 4. If the tangent line to y = f ( x ) at (8 , 9) passes through the point (5 , 6) find f (8). a) 1 b) 9 c) 2 d)- 1 e) 6 5. If f is a differentiable function, find the derivative of y = x 4 f ( x ). a) 4 x 3 f ( x ) + x 3 f ( x ) b) 4 x 4 f ( x )- x 4 f ( x ) c) 3 x 3 f ( x )- x 4 f ( x ) d) 4 x 4 f ( x )- x 3 f ( x ) e) 4 x 3 f ( x ) + x 4 f ( x ) 6. Differentiate y = sin x 8 + cos x . a) dy dx = 8 cos x- 9 (8 + cos x ) 2 b) dy dx = 8 cos x + 9 (8- cos x ) 2 c) dy dx = 8 cos x + 9 (8 + cos x ) 2 d) dy dx = 8 cos x- 1 (8- cos x ) 2 e) dy dx = 8 cos x + 1 (8 + cos x ) 2 7. If f ( x ) = x p 9- x 2 , find f ( x ). a)- 9 x 9- x 2 b) 9- 2 x 2 9- x 2 c) 1 x 9- x 2 d)- 1 x 2 9- x 2 e) 1 9- x 2 8. If x 4- 7 xy + y 3 =- 5, find dy dx by implicit differentiation at the...
View Full Document

## fall 05 test - MATH 140 FINAL EXAMINATION, FORM A DECEMBER...

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

View Full Document
Ask a homework question - tutors are online