short1-1a-1 - 104(a(10 pts What is the rate of change of...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Exam 1, Part 1, Form A M170-010, Fall, 2011 Name: (1 pt.) Show all your work. There are no trig, log, or exponential derivatives today, so you may use any methods on any problem. 1. A object placed in a furnace heats up. Its temperature, T , as a function of time, x , is shown in the graph below. Temperature is measured in C; time is measured in minutes. (a) (5 pts.) Find Δ T on [2 , 7]. Give correct units. (b) (5 pts.) Find Δ T Δ x on [2 , 7]. Give correct units. (c) (5 pts.) Sketch a secant line in the graph that corresponds to your answer to (b). 2. (10 pts.) Compute lim u x 1 x 2 - 1 u 2 x - u 1
Background image of page 1

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

View Full DocumentRight Arrow Icon
3. A population of rabbits is growing. Population as a function of time is shown in the table below. t (months) 0 2 4 6 8 10 12 P (rabbits) 32 39 48 59 72 87
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 104 (a) (10 pts.) What is the rate of change of population at the instant t = 4 months? (b) (10 pts.) When is the rate of change approximately 8 rabbits/month? 4. (10 pts.) f ( x ) = √ 9-x 2 . Find the slope of the tangent line at x = 2. 5. (10 pts.) A ball thrown up in the air has a height of h ( t ) = 15 t-5 t 2 meters after t seconds. At the instant when velocity is-12 m/s, how high is the ball? 6. (5 pts. ea.) For each of the following functions, compute f ′ ( x ). Assume that a and b are constants. Assume that g is an unknown function of x . (a) f ( x ) = 10 + x + ax 2 (b) f ( x ) = 10 x 3-4 x 7 x + g (c) f ( x ) = x ( ax + b ) 3 2...
View Full Document

This note was uploaded on 10/11/2011 for the course MATH 170 taught by Professor Staff during the Fall '08 term at Boise State.

Page1 / 2

short1-1a-1 - 104(a(10 pts What is the rate of change of...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online