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Math
Calculus
ELEM LINEAR ALGB 12E AC\LL
Chapter 1, Problem 45RE
Chapter 1, Problem 45RE
BUY
ELEM LINEAR ALGB 12E AC\LL
12th Edition
ISBN:
9781119498889
Author: Anton
Publisher:
WILEY
expand_less
1 Limits And Continuity
2 The Derivative
3 Topics In Differentiation
4 The Derivative In Graphing And Applications
5 Integration
6 Applications Of The Definite Integral In Geometry, Science, And Engineering
7 Principles Of Integral Evaluation
8 Mathematical Modeling With Differential Equations
9 Infinite Series
10 Parametric And Polar Curves; Conic Sections
11 Three-dimensional Space; Vectors
12 Vector-valued Functions
13 Partial Derivatives
14 Multiple Integrals
15 Topics In Vector Calculus
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1.1 Limits (an Intuitive Approach)
1.2 Computing Limits
1.3 Limits At Infinity; End Behavior Of A Function
1.4 Limits (discussed More Rigorously)
1.5 Continuity
1.6 Continuity Of Trigonometric Functions
1.7 Inverse Trigonometric Functions
1.8 Exponential And Logarithmic Functions
Chapter Questions
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Problem 1RE
Problem 2RE: In each part, complete the table and make a conjecture about the value of the limit indicated....
Problem 3RE: (a) Approximate the value of the limit limx03x2xx to three decimal places by constructing an...
Problem 4RE
Problem 5RE: Find the limits. limx1x3x2x1
Problem 6RE: Find the limits. limx1x3x2x1
Problem 7RE
Problem 8RE
Problem 9RE: Find the limits. limx+2x153x2+2x7x39x
Problem 10RE: Find the limits. limx0x2+42x2
Problem 11RE
Problem 12RE: In each part, find limxafx, if exists, where a is replaced by 0,5+,5,5,5,, and + . (a) fx=5x (b)...
Problem 13RE
Problem 14RE: Find the limits. limx0xsinx1cosx
Problem 15RE: Find the limits. limx03xsinkxx,k0
Problem 16RE
Problem 17RE
Problem 18RE
Problem 19RE
Problem 20RE: Find the limits. limx+1+axbx,a,b0
Problem 21RE: If $1000 is invested in an account that pays 7 interest compounded n times each year, then in 10...
Problem 22RE: (a) Write a paragraph or two that describes how the limit of a function can fail to exist at x=a,...
Problem 23RE: (a) Find a formula for a rational function that has a vertical asymptote at x=1 and a horizontal...
Problem 24RE
Problem 25RE
Problem 26RE: The limit limx0sinxx=1 ensures that there is a number such that sinxx10.001 if 0x . Estimate the...
Problem 27RE: In each part, a positive number and the limit L of a function f at a are given. Find a number such...
Problem 28RE: Use Definition 1.4.1 to prove that stated limits are correct. (a) limx24x7=1 (b) limx3/24x292x3=6
Problem 29RE
Problem 30RE: (a) Let fx=sinxsin1x1 Approximate limx1fx by graphing f and calculating values for some appropriate...
Problem 31RE: Find values of x, if any, at which the given function is not continuous. (a) fx=xx21 (b) fx=x32x2...
Problem 32RE
Problem 33RE
Problem 34RE
Problem 35RE: Show that the conclusion of the Intermediate-Value Theorem may be false if f is not continuous on...
Problem 36RE: Suppose that f is continuous on the interval 0,1, that f0=2, and that f has no zeros in the...
Problem 37RE
Problem 38RE: In each part, find f1x if the inverse exists. (a) fx=ex2+1 (b) fx=sin12xx,24+x24 (c) fx=11+3tan1x
Problem 39RE: In each part, find the exact numerical value of the given expression. (a) coscos14/5+sin15/13 (b)...
Problem 40RE: In each part, sketch the graph, and check your work with a graphing utility. (a) fx=3sin1x/2 (b)...
Problem 41RE: Suppose that the graph of y=logx is drawn with equal scales of 1 inch per unit in both the x- and...
Problem 42RE
Problem 43RE: Express the following function as a rational function of x : 3lne2xex3+2expln1
Problem 44RE: Suppose that y=Cekt, where C and k are constants, and let Y=lny . Show that the graph of Y versus t...
Problem 45RE
Problem 46RE: Suppose that a package of medical supplies is dropped from a helicopter straight down by parachute...
Problem 47RE: A breeding group of 20 bighorn sheep is released in a protected area in Colorado. It is expected...
Problem 48RE: An oven is preheated and then remains at a constant temperature. A potato is placed in the oven to...
Problem 49RE
Problem 50RE: (a) Show that for x0 and k0 the equations xk=ex and lnxx=1k have the same solutions. (b) Use the...
Problem 51RE: Consider fx=x2tanx+lnx,0x/2 . (a) Explain why f is one-to-one. (b) Use a graphing utility to...
Problem 1MC
Problem 2MC
Problem 3MC
Problem 4MC
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