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Math
Calculus
CALCULUS, EARLY TRANS. -WEBASSIGN ACCES
Chapter 2.7, Problem 40E
Chapter 2.7, Problem 40E
BUY
CALCULUS, EARLY TRANS. -WEBASSIGN ACCES
9th Edition
ISBN:
2819260099505
Author: Stewart
Publisher:
CENGAGE C
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1 Functions And Models
2 Limits And Derivatives
3 Differentiation Rules
4 Applications Of Differentiation
5 Integrals
6 Applications Of Integration
7 Techniques Of Integration
8 Further Applications Of Integration
9 Differential Equations
10 Parametric Equations And Polar Coordinates
11 Sequences, Series, And Power Series
12 Vectors And The Geometry Of Space
13 Vector Functions
14 Partial Derivatives
15 Multiple Integrals
16 Vector Calculus
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 The Logarithm Defined As An Integral
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2.1 The Tangent And Velocity Problems
2.2 The Limit Of A Function
2.3 Calculating Limits Using The Limit Laws
2.4 The Precise Definition Of A Limit
2.5 Continuity
2.6 Limits At Infinity; Horizontal Asymptotes
2.7 Derivatives And Rates Of Change
2.8 The Derivative As A Function
Chapter Questions
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Problem 1E: A curve has equation y = f(x) (a) Write an expression for the slope of the secant line through the...
Problem 2E: Graph the curve y = ex in the viewing rectangles [ 1, 1] by [0, 2], [0.5, 0.5] by [0.5, 1.5], and...
Problem 3E: (a) Find the slope of the tangent line to the parabola y = 4x x2 at the point (0, 1) (i) using,...
Problem 4E: (a) Find the slope of the tangent line to the curve y = x x3 at the point (1 , 0) (i) using...
Problem 5E: Find an equation of the tangent line to the curve at the given point. 5. y=2x25x+1,(3,4)
Problem 6E: Find an equation of the tangent line to the curve at the given point. 6. y=x22x3,(1,1)
Problem 7E: Find an equation of the tangent line to the curve at the given point. 7. y=x+2x3
Problem 8E: Find an equation of the tangent line to the curve at the given point. 8. y=13x,(1,2)
Problem 9E: (a) Find the slope of the tangent to the curve y = 3 + 4x2 2x3 at the point where x = a. (b) Find...
Problem 10E: (a) Find the slope of the tangent to the curve y=2x at the point where x=a . (b) Find equations of...
Problem 11E: A cliff diver plunges from a height of 100ft above the water surface. The distance the diver falls...
Problem 12E: If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters)...
Problem 13E: The displacement (in meters) of a particle moving in a straight line is given by the equation of...
Problem 14E: The displacement (in feel) of a particle moving in a straight line is given by s = t2 61 + 23,...
Problem 15E: (a) A particle starts by moving to the right along a horizontal line; the graph of its position...
Problem 16E: Shown are graphs of the position functions of two runners, A and B , who run a 100-meter race and...
Problem 17E: For the function g whose graph is given, arrange the following numbers in increasing order and...
Problem 18E
Problem 19E
Problem 20E: Use Definition 4 to find f(a) at the given number a . 20. f(x)=5x4,a=1
Problem 21E: Use Equation 5 to find f(a) at the given number a . 21. f(x)=x2x+6,a=3
Problem 22E: Use Equation 5 to find f(a) at the given number a . 22. f(x)=12x+2,a=1
Problem 23E: Find f(a) . 23. f(x)=2x25x+3
Problem 24E: Find f(a) . 24. f(t)=t33t
Problem 25E: Find f(a) . 25. f(t)=1t2+1
Problem 26E: Find f(a) . 26. f(x)=x14x
Problem 27E: Find an equation of the tangent line to the graph of y=B(x) at x=6 if B(6)=0 and B(6)=12 .
Problem 28E: Find an equation of the tangent line to the graph of y = g(x) at x = 5 if g(5) = 3 and g'(5) = 4.
Problem 29E: If f(x) = 3x2 x3 , find f'(l) and use it to find an equation of the tangent line to the curve y =...
Problem 30E: If g(x) = x4 2, find g'(l) and use it to find an equation of the tangent line to the curve y = x4 ...
Problem 31E: (a) If F(x) = 5x/(l + x2), find F'(2) and use it to find an equation of the tangent line to the...
Problem 32E: (a) If G(x) = 4x2 x3, find G'(a) and use it to find equations of the tangent lines to the curve y =...
Problem 33E: If an equation of the tangent line to the curve y=f(x) at the point where a=2 is y=4x5 , find f(2)...
Problem 34E: If the tangent line to y=f(x) at (4,3) passes through the point (0,2) , find f(4) and f(4) .
Problem 35E: A particle moves along a straight line with equation of motions s = f(t), where is measured in...
Problem 36E: A particle moves along a straight line with equation of motions s = f(t), where s is measured in...
Problem 37E
Problem 38E: A roast is taken from an over when its temperature has reached 185F and is placed on a table in a...
Problem 39E
Problem 40E
Problem 41E: Sketch the graph of a function g that is continuous on its domain (5,5) and where...
Problem 42E
Problem 43E: Each limit represents the derivative of some function f at some number a . State such an f and a in...
Problem 44E: Each limit represents the derivative of some function f at some number a . State such an f and a in...
Problem 45E: Each limit represents the derivative of some function f at some number a . State such an f and a in...
Problem 46E: Each limit represents the derivative of some function f at some number a . State such an f and a in...
Problem 47E: Each limit represents the derivative of some function f at some number a . State such an f and a in...
Problem 48E: Each limit represents the derivative of some function f at some number a . State such an f and a in...
Problem 49E: The cost (in dollars) of producing x units of a certain commodity is C(x) = 5000 + 10x + 0.05x2. (a)...
Problem 50E: Let H(t) be the daily cost (in dollars) to heat an office building when the outside temperature is t...
Problem 51E: The cost of producing x ounces of gold from a new gold mine is C=f(x) dollars. (a) What is the...
Problem 52E: The quantity (in pounds) of a gourmet ground coffee that is sold by a coffee company at a price of p...
Problem 53E: The quantity of oxygen that can dissolve in water depends on the temperature of the water. (So...
Problem 54E: The graph shows the influence of the temperature T on the maximum sustainable swimming speed S of...
Problem 55E: Reasearchers measured the average blood alcohol concentration C(t) of eight men starting one hour...
Problem 56E
Problem 57E: Determine whether f'(0) exists. f(x)={xsin1xifx00ifx=0
Problem 58E
Problem 59E: (a) Graph the function f(x)=sinx11000sin(1000x) in the viewing rectangle [ 2, 2] by [ 4, 4 ]. What...
Problem 60E: Symmetric Difference Quotients In Example 8 we approximated an instantaneous rate of change by...
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