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Cornell | MATH 1006
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• C Cunningham,
• ,
• Alessi

#### 17 sample documents related to MATH 1006

• Cornell MATH 1006
Math 1006 Final Exam Review Answers Spring 2012 Chapter 2: 1. \$1003.58 2. t = approx. 866 years Chapter 3: Chapter 4: 1. y = x+1 2. Use: lim as h0 of [f(x+h)-f(x)]/h: f \'(x)= -3/(2x2) 1. a. f(x) = b. c. Chapter 5: 1. Cost is minimized when r = 3 2. a. f(x

• Cornell MATH 1006
Alessi Math 1006 Spring 2012 Final Exam Review Chapter 2: 1. Suppose you deposit \$621 in a bank account that pays 6% compounded continuously. How much money will you have 8 years later? 2. Scientists who do carbon-14 dating use a figure of 5700 years for

• Cornell MATH 1006
Math 1006 Alessi Spring 2012 Prelim #3 Review: (Sections 7.3, 7.4, 8.1, 8.2, 9.2, 9.5, 10.1, 10.2 and 10.4) 7.3 Area and the Definite Integral 1. Consider the function y = x -2, for x 1. Find the area under the curve from x = 1 to x = 4 and the line y = 0

• Cornell MATH 1006
Math 1006 Alessi Spring 2012 Prelim #3 Review: (Sections 7.3, 7.4, 8.1, 8.2, 9.2, 9.5, 10.1, 10.2 and 10.4) 7.3 Area and the Definite Integral 1. Consider the function y = x -2, for x and the line y = 0. 1. Find the area under the curve from x = 1 to x =

• Cornell MATH 1006
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• Cornell MATH 1006
Alessi Math 1006 - Spring 2012 Handout #1 (Covers sections 2.4 2.6 and intro to 1.1) I. Compound and Continuous Compound Interest A. Compound Interest: A = P(1 + )tm , where m = # times compounded per year. Ex 1. Find the amount of money you would have at

• Cornell MATH 1006
Alessi Math 1006 Spring 2012 Handout #2 (Covers sections 1.2, 3.1, 3.3, 3.4 and 4.1) I. Linear Functions and Applications A. Function Notation: y = f(x) means that y is a function of x. y depends upon the choice of x: y is the dependent variable and x is

• Cornell MATH 1006
Alessi -Math 1006 Spring 2012 Handout #3 (Covers sections 4.2, 4.3, 4.4 & 4.5) I. Derivatives of Products and Quotients A. Product Rule: (f g) = f g + f g C. Quotient Rule: (f/g) = Ex 1. Find the derivatives of: B. Reciprocal Rule: (1/g) = a. f(x) = (4x 3

• Cornell MATH 1006
Alessi - Math 1006 Spring 2012 Handout #4 (Sections 13.1, 13.2, 5.1 - 5.3) I. 13.1 Definitions of Trigonometric Functions A. Trigonometric Functions of Angles (Ratios of sides of right triangles) Given right ABC, with C, the right angle, and a, b and c, t

• Cornell MATH 1006
Alessi Math 1006 Spring 2012 Handout #5 (Sections 5.4, 6.1 and 6.2) I. 5.4 Curve Sketching Helpful tips for sketching graphs of functions: 1. Consider the domain of the function and note any restrictions. (Restrictions occur for x values that make the den

• Cornell MATH 1006
Alessi - Math 1006 Spring 2012 Handout #6 (Sections 6.5, 7.1 and 7.2) I. 6.5 Related Rates: It is common for variables to be functions of time. Ex 1. The energy cost of horizontal locomotion as a function of the body mass of a lizard is given by E = 26.5m

• Cornell MATH 1006
Alessi-Math 1006 Spring 2012 Handout #7 (Section 7.3, 7.4, 8.1 & 8.2) I. 7.4 The Fundamental Theorem of Calculus: Let f be continuous on the interval [a,b], and F be any antiderivative of f. Then = F(b) - F(a). Ex 1. a. b. c. d. II. 7.3 Area and the Defin

• Cornell MATH 1006
Alessi Math 1006 Spring 2012 Handout #8 (Sections 9.2, 9.5 and 10.1) I. 9.2 Partial Derivatives: If z = f(x, y), then the derivative of the function a. with respect to x can be written as fx(x,y) = = b. with respect to y can be written as fy(x,y) = = Ex 1

• Cornell MATH 1006
Alessi - Math 1006 Spring 2012 Handout #9 (Sections 10.2 and 10.4) I. 10.2 Linear First-Order Differential Equations Ex 1a. Find the general solution of the following differential equation using the Integrating Factor Method: Step 1: Rewrite in the form y

• Cornell MATH 1006
Alessi Math 1006 Spring 2012 Handout #10 (Sections 9.3 & 12.5) 9.3 Maxima and Minima Ex 1. Find all points where z = f(x,y) = 6x2 + 6y2 + 6xy + 36x 5 has any relative maxima or relative minima points. Identify saddle points, if they exist. a. Find all cri

• Cornell MATH 1006
Math 1006 Alessi Spring 2012 Prelim #2 Review (Sections 4.1 4.5, 13.1, 13.2, 5.1 - 5.4, 6.1, 6.2, 6.5, 7.1, 7.2 ) 4.1 Techniques for Finding Derivatives 1. Find the derivative of each function: a. f(t) = 2. Given f(x) = x3+ x2 -8x + 3: b. g(x) = - 3x2 a.

• Cornell MATH 1006
Alessi - Math 1006 Spring 2012 Prelim #1 Review R.6, 1.1, 1.2, 2.4 2.6, 3.1, 3.3, 3.4, 4.1 4.5, 5.1 5.3, 13.1 & 13.2 R.6 Exponents 1. Assume all variables represent positive real numbers. Write answers with only positive exponents. a. b. c. d. 1.1 Lines a