{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

sample_midterm1

# sample_midterm1 - determine if they are removable f x = x x...

This preview shows pages 1–5. Sign up to view the full content.

Math 016A Midterm 1 Jan., 2009 Name: ID Signature No Calculators allowed. Use the back of all the pages if needed. 1. (20pts)(a)[8pts] Given the endpoints of a diameter for a circle: (3 , 3) , ( - 3 , 3) , find the general form of the equation of the circle. (b)[12pts] Find the equations of the lines through point (2 , 1) (a) parallel, (b) perpen- dicular to the line 4 x - 2 y = 3 . 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2. (24pts) Compute the following limits and give each answer as a finite number, + / -∞ . (a)[6pts] lim x 3 x +1 - 1 x . (b)[6pts] lim Δ t 0 t - 1+Δ t - t - 1 Δ t . (c)[6pts] lim x →- 1 x 2 - 1 x +1 . (d)[6pts] lim x →-∞ 2 x 2 x - 1 + 3 x x - 1 · . 2
3. (8pts) Determine the domain and range of f ( x ) = 7 - 9 - x 2 . 4. (12pts) (a) State the definition of continuity on some interval, (b) then discuss the continuity of the following function on ( -∞ , + ) . If there are discontinuities, also

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: determine if they are removable: f ( x ) = x x 2-4 x + 3 . 3 5. (14 points) Find the derivatives of the following functions: (a) f ( x ) = 3 x ( x 2-2 x ) , (b) g ( x ) = 2 x 3-4 x 2 +3 x 2 . 6. (10 points) Find the equation of the tangent line to the graph of f ( x ) = 1 3 √ x 2-x at point (-1 , 2) . 4 7. (12 points) The height s (in feet) at time t (in seconds) of a silver dollar dropped from the top of the Washington Monument is given by s =-16 t 2 + 555 . (a) Find the average velocity on the interval [2 , 3]. (b) Find the instantaneous velocities at t = 2 and t = 3. (c) How long will it take the dollar the hit the ground? (d) Find the velocity of the dollar when it hits he ground. 5...
View Full Document

{[ snackBarMessage ]}

### Page1 / 5

sample_midterm1 - determine if they are removable f x = x x...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online