T Diagonostic Tests 1 Functions And Limits 2 Derivatives 3 Applications Of Differentiation 4 Integrals 5 Applications Of Integration 6 Inverse Functions: Exponential, Logarithmic, And Inverse Trigonometric Functions 7 Techniques Of Integration 8 Further Applications Of Integration 9 Differential Equations 10 Parametric Equations And Polar Coordinates 11 Infinite Sequences And Series A Numbers, Inequalities, And Absolute Values B Coordinate Geometry And Lines C Graphs Of Second-Degree Equations D Trigonometry E Sigma Notation F Proofs Of Theorems G Complex Numbers expand_more
1.1 Four Ways To Represent A Function 1.2 Mathematical Models: A Catalog Of Essential Functions 1.3 New Functions From Old Functions 1.4 The Tangent And Velocity Problems 1.5 The Limit Of A Function 1.6 Calculating Limits Using The Limit Laws 1.7 The Precise Definition Of A Limit 1.8 Continuity Chapter Questions expand_more
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How... Problem 2RCC Problem 3RCC Problem 4RCC Problem 5RCC Problem 6RCC Problem 7RCC Problem 8RCC: Draw, by hand, a rough sketch of the graph of each function. (a) y = sin x (b) y = cos x (c) y = tan... Problem 9RCC Problem 10RCC Problem 11RCC Problem 12RCC Problem 13RCC Problem 14RCC Problem 15RCC Problem 16RCC Problem 17RCC Problem 18RCC Problem 19RCC Problem 1RQ Problem 2RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 3RQ Problem 4RQ Problem 5RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 6RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 7RQ Problem 8RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 9RQ Problem 10RQ Problem 11RQ Problem 12RQ Problem 13RQ Problem 14RQ Problem 15RQ Problem 16RQ Problem 17RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 18RQ Problem 19RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 20RQ Problem 21RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 22RQ Problem 23RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 24RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 25RQ Problem 26RQ Problem 27RQ Problem 1RE: Let f be the function whose graph is given. (a) Estimate the value of f(2). (b) Estimate the values... Problem 2RE Problem 3RE Problem 4RE Problem 5RE Problem 6RE Problem 7RE Problem 8RE Problem 9RE Problem 10RE: The graph of f is given. Draw the graphs of the following functions. (a) y = f(x 8) (b) y = f(x)... Problem 11RE Problem 12RE Problem 13RE Problem 14RE Problem 15RE Problem 16RE Problem 17RE Problem 18RE Problem 19RE Problem 20RE Problem 22RE: A small-appliance manufacturer finds that it costs 9000 to produce 1000 toaster ovens a week and... Problem 23RE: The graph of f is given. (a) Find each limit, or explain why it does not exist. (i) limx2+f(x) (ii)... Problem 24RE Problem 25RE Problem 26RE Problem 27RE Problem 28RE Problem 29RE Problem 30RE Problem 31RE Problem 32RE Problem 33RE: Find the limit. 33. limu1u41u3+5u26u Problem 34RE: Find the limit. 34. limx3x+6xx33x2 Problem 35RE Problem 36RE Problem 37RE Problem 38RE Problem 39RE: If 2x 1 f(x) x2 for 0 x 3, find limx1 f(x). Problem 40RE Problem 41RE Problem 42RE Problem 43RE Problem 44RE Problem 45RE Problem 46RE Problem 47RE: Show that the function is continuous on its domain. State the domain. 47. h(x)=x4+x3cosx Problem 48RE Problem 49RE Problem 50RE Problem 51RE Problem 52RE Problem 1P Problem 2P Problem 3P Problem 4P Problem 5P Problem 6P Problem 7P: The notation max{a, b, } means the largest of the numbers a, b, . Sketch the graph of each function.... Problem 8P Problem 9P Problem 10P Problem 11P: Prove that if n is a positive integer, then 7n 1 is divisible by 6. Problem 12P Problem 13P Problem 14P Problem 15P Problem 16P: Find numbers a and b such that limx0ax+b2x=1. Problem 17P Problem 18P Problem 19P: Evaluate the following limits, if they exist, where x denotes the greatest integer function. (a)... Problem 20P Problem 21P Problem 22P: A fixed point of a function f is a number c in its domain such that f(c) = c. (The function doesnt... Problem 23P Problem 24P: (a) The figure shows an isosceles triangle ABC with B = C. The bisector of angle B intersects the... Problem 25P format_list_bulleted