EBK CALCULUS
10th Edition
ISBN: 9780100453777
Author: Larson
Publisher: YUZU
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Chapter P.1, Problem 64E
To determine
To Graph: Intersection of graphs using graphing utility, if the equations are
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الاسم
يمنع استخدام الآلة الحاسبة
ظلل في ورقة الإجابة الدائرة التي تحتوي على الحرف (ص) للإجابة الصحيحة والحرف (خ) للإجابة الخطأ بحسب رقم الفقرة لكل مما يأتي:
درجة لكل فقرة.
( ) نها جا
元
جتا
= صفر
س ۱
س
س -۱
( ) يمكن إعادة تعريف الدالة د(س) = س قاس لكي تكون متصلة عند س = 7
( ) إذا كانت د(س) = (٢) س - س ) ؛ فإن د(١) = ٦
٢ س ص ( ) إذا كانت س +
0=
؛ فإن عند ) - ١ ، - ٦ ) تساوي (٦)
( ) إذا كانت د(س) = س ه ، و (س) = ٣ س ٢ + ٢ س ؛ فإن ( د ) (۱) = ۸
) ( معادلة ناظم الدالة ص = د(س) عند النقطة ) ( ، د (۲)) هي ص - (د (م) - - د (۲) ( س - م )
( ) إذا كانت ص = ظتا٢ س ؛ فإن ص = ٢ ص قتا ٢س
) ( إذا كانت د(س) = س ؛ فإن د (T) =
جتاس
1-
T
( ) إذا كانت د(س) = 1 - جناس
جاس
؛ فإن د () = - 1
( ) إذا كانت الدالة د (س) تحقق شروط مبرهنة القيمة المتوسطة على [ ، ب ] ، فإنه يوجد جـ ] ، ب [ بحيث (جـ) =
(P) + (~)- -
ب + P
1
2
3
4
5
6
7
8
9
10
11
( ) للدالة د(س) = لو ( س ) + (٣) نقطة حرجة عند س = .
( ) إذا كان س = - ٢ مقارباً رأسياً للدالة د(س)
12
10 13
14
15
16
17
س = لو|س | + ث
-
=
۲ س + ٣
ب س + ٤ ، فإن معادلة…
2. Symmetry Evaluate the following integrals using symmetry argu-
ments. Let R = {(x, y): -a ≤ x ≤ a, −b ≤ y ≤ b}, where a
and b are positive real numbers.
a.
SS
Sf xye
xye¯(x² + y²)
dA
R
b.
C
sin (x − y)
-
dA
x² + y² + 1
R
Choose a convenient order When converted to an iterated integral, the following double integrals are easier to evaluate in one order
please show all steps
Chapter P Solutions
EBK CALCULUS
Ch. P.1 - Matching In Exercises 3-6, match the equation with...Ch. P.1 - Matching In Exercises 3-6, match the equation with...Ch. P.1 - Matching In Exercises 3-6, match the equation with...Ch. P.1 - Matching In Exercises 3-6, match the equation with...Ch. P.1 - Prob. 5ECh. P.1 - Sketching a Graph by Point Plotting In Exercises...Ch. P.1 - Sketching a Graph by Point Plotting In Exercises...Ch. P.1 - Prob. 8ECh. P.1 - Sketching a Graph by Point Plotting In Exercises...Ch. P.1 - Sketching a Graph by Point Plotting In Exercises...
Ch. P.1 - Sketching a Graph by Point Plotting In Exercises...Ch. P.1 - Prob. 12ECh. P.1 - Prob. 13ECh. P.1 - Prob. 14ECh. P.1 - Approximating Solution Points Using Technology In...Ch. P.1 - Approximating Solution Points Using Technology In...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Prob. 20ECh. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Prob. 27ECh. P.1 - Prob. 28ECh. P.1 - Prob. 29ECh. P.1 - Prob. 30ECh. P.1 - Prob. 31ECh. P.1 - Prob. 32ECh. P.1 - Prob. 33ECh. P.1 - Prob. 34ECh. P.1 - Prob. 35ECh. P.1 - Prob. 36ECh. P.1 - Prob. 37ECh. P.1 - Prob. 38ECh. P.1 - Prob. 39ECh. P.1 - Prob. 40ECh. P.1 - Prob. 41ECh. P.1 - Prob. 42ECh. P.1 - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P.1 - Prob. 44ECh. P.1 - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P.1 - Prob. 46ECh. P.1 - Prob. 47ECh. P.1 - Prob. 48ECh. P.1 - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P.1 - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P.1 - Prob. 51ECh. P.1 - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P.1 - Prob. 53ECh. P.1 - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P.1 - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P.1 - Prob. 56ECh. P.1 - Finding Points of Intersection In Exercises 57-62....Ch. P.1 - Finding Points of Intersection In Exercises 57-62....Ch. P.1 - Prob. 59ECh. P.1 - Finding Points of Intersection In Exercises 57-62,...Ch. P.1 - Prob. 61ECh. P.1 - Finding Points of Intersection In Exercises 57-62....Ch. P.1 - Finding Points of Intersection Using Technology In...Ch. P.1 - Prob. 64ECh. P.1 - Prob. 65ECh. P.1 - Finding Points of Intersection Using Technology In...Ch. P.1 - Modeling Data The table shows the Gross Domestic...Ch. P.1 - Modeling Data The table shows the numbers of...Ch. P.1 - Break-Even Point Find the sales necessary to break...Ch. P.1 - Copper Wire The resistance y in ohms of 1000 feet...Ch. P.1 - Using Solution Points For what values of k does...Ch. P.1 - Using Solution Points For what values of k does...Ch. P.1 - WRITING ABOUT CONCEPTS Writing Equations In...Ch. P.1 - EXPLORING CONCEPTS Using Intercepts Write an...Ch. P.1 - Prob. 75ECh. P.1 - HOW DO YOU SEE IT? Use the graphs of the two...Ch. P.1 - True or False ? In Exercises 75-78, determine...Ch. P.1 - Prob. 78ECh. P.1 - True or False? In Exercises 75-78, determine...Ch. P.1 - True or False? In Exercises 75-78, determine...Ch. P.2 - Estimating Slope In Exercises 36, estimate the...Ch. P.2 - Prob. 2ECh. P.2 - Prob. 3ECh. P.2 - Prob. 4ECh. P.2 - Prob. 5ECh. P.2 - Prob. 6ECh. P.2 - Finding the Slope of a Line In Exercises 7-12,...Ch. P.2 - Finding the Slope of a Line In Exercises 7-12,...Ch. P.2 - Finding the Slope of a Line In Exercises 7-12,...Ch. P.2 - Finding the Slope of a Line In Exercises 7-12,...Ch. P.2 - Sketching Lines In Exercises 13 and 14. sketch the...Ch. P.2 - Sketching Lines In Exercises 13 and 14, sketch the...Ch. P.2 - Prob. 13ECh. P.2 - Finding Points on a Line In Exercises 1518, use...Ch. P.2 - Prob. 15ECh. P.2 - Finding Points on a Line In Exercises 1518, use...Ch. P.2 - Finding an Equation of a Line In Exercises 19-24,...Ch. P.2 - Prob. 18ECh. P.2 - Prob. 19ECh. P.2 - Prob. 20ECh. P.2 - Prob. 21ECh. P.2 - Prob. 22ECh. P.2 - Prob. 23ECh. P.2 - Modeling Data The table shows the populations y...Ch. P.2 - Prob. 25ECh. P.2 - Finding the Slope and y-Intercept In Exercises...Ch. P.2 - Prob. 27ECh. P.2 - Prob. 28ECh. P.2 - Prob. 29ECh. P.2 - Prob. 30ECh. P.2 - Sketching a Line in the Plane In Exercises 35-42,...Ch. P.2 - Prob. 32ECh. P.2 - Prob. 33ECh. P.2 - Prob. 34ECh. P.2 - Prob. 35ECh. P.2 - Prob. 36ECh. P.2 - Prob. 37ECh. P.2 - Prob. 38ECh. P.2 - Prob. 39ECh. P.2 - Prob. 40ECh. P.2 - Prob. 41ECh. P.2 - Prob. 42ECh. P.2 - Prob. 43ECh. P.2 - Prob. 44ECh. P.2 - Prob. 45ECh. P.2 - Finding an Equation of a Line In Exercises 3946,...Ch. P.2 - Find an equation of the vertical line with...Ch. P.2 - Prob. 48ECh. P.2 - Writing an Equation in General Form In Exercises...Ch. P.2 - Prob. 50ECh. P.2 - Prob. 51ECh. P.2 - Prob. 52ECh. P.2 - Writing an Equation in General Form In Exercises...Ch. P.2 - Prob. 54ECh. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Prob. 62ECh. P.2 - Prob. 63ECh. P.2 - Prob. 64ECh. P.2 - Prob. 65ECh. P.2 - Prob. 66ECh. P.2 - Prob. 67ECh. P.2 - Prob. 68ECh. P.2 - Prob. 69ECh. P.2 - Prob. 70ECh. P.2 - Prob. 71ECh. P.2 - Prob. 72ECh. P.2 - Analyzing a Line A line is represented by the...Ch. P.2 - Tangent Line Find an equation of the line tangent...Ch. P.2 - Prob. 82ECh. P.2 - Prob. 74ECh. P.2 - Prob. 75ECh. P.2 - Reimbursed Expenses A company reimburses its sales...Ch. P.2 - Prob. 77ECh. P.2 - Straight-Line Depreciation A small business...Ch. P.2 - Apartment Rental A real estate office manages an...Ch. P.2 - Prob. 80ECh. P.2 - Prob. 83ECh. P.2 - Prob. 84ECh. P.2 - Prob. 85ECh. P.2 - Prob. 86ECh. P.2 - Prob. 87ECh. P.2 - Prob. 88ECh. P.2 - Prob. 89ECh. P.2 - Prob. 90ECh. P.2 - Prob. 91ECh. P.2 - Prob. 92ECh. P.2 - Prob. 93ECh. P.2 - Prob. 94ECh. P.2 - True or False? In Exercises 85 and 86, determine...Ch. P.2 - Prob. 96ECh. P.3 - Evaluating a Function In Exercises 110, evaluate...Ch. P.3 - Prob. 2ECh. P.3 - Prob. 3ECh. P.3 - Prob. 4ECh. P.3 - Evaluating a Function In Exercises 1-10, evaluate...Ch. P.3 - Prob. 6ECh. P.3 - Prob. 7ECh. P.3 - Prob. 8ECh. P.3 - Prob. 9ECh. P.3 - Prob. 10ECh. P.3 - Prob. 11ECh. P.3 - Prob. 12ECh. P.3 - Prob. 13ECh. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Prob. 15ECh. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Prob. 18ECh. P.3 - Prob. 19ECh. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Prob. 21ECh. P.3 - Prob. 22ECh. P.3 - Prob. 23ECh. P.3 - Prob. 24ECh. P.3 - Prob. 25ECh. P.3 - Prob. 26ECh. P.3 - Prob. 27ECh. P.3 - Prob. 28ECh. P.3 - Prob. 29ECh. P.3 - Prob. 30ECh. P.3 - Prob. 31ECh. P.3 - Prob. 32ECh. P.3 - Prob. 33ECh. P.3 - Prob. 34ECh. P.3 - Prob. 35ECh. P.3 - Prob. 36ECh. P.3 - Prob. 37ECh. P.3 - Prob. 38ECh. P.3 - Prob. 39ECh. P.3 - Prob. 40ECh. P.3 - Prob. 41ECh. P.3 - Sketching a Graph A student who commutes 27 miles...Ch. P.3 - Prob. 43ECh. P.3 - Using the Vertical Line Test In Exercises 39-42,...Ch. P.3 - Prob. 45ECh. P.3 - Prob. 46ECh. P.3 - Prob. 47ECh. P.3 - Prob. 48ECh. P.3 - Prob. 49ECh. P.3 - Prob. 50ECh. P.3 - Prob. 51ECh. P.3 - Prob. 52ECh. P.3 - Prob. 53ECh. P.3 - Prob. 54ECh. P.3 - Prob. 55ECh. P.3 - Matching In Exercises 51-56, use the graph of...Ch. P.3 - Prob. 57ECh. P.3 - Prob. 58ECh. P.3 - Prob. 59ECh. P.3 - Prob. 60ECh. P.3 - Sketching Transformations Use the graph of f shown...Ch. P.3 - Sketching Transformations Use the graph of f shown...Ch. P.3 - Prob. 63ECh. P.3 - Prob. 64ECh. P.3 - Prob. 65ECh. P.3 - Prob. 66ECh. P.3 - Finding Composite Functions In Exercises 63-66,...Ch. P.3 - Prob. 68ECh. P.3 - Prob. 69ECh. P.3 - Prob. 70ECh. P.3 - Evaluating Composite Functions Use the graphs of f...Ch. P.3 - Ripples A pebble is dropped into a calm pond,...Ch. P.3 - Prob. 73ECh. P.3 - Prob. 74ECh. P.3 - Think About It In Exercises 71 and 72, find the...Ch. P.3 - Prob. 76ECh. P.3 - Ever, and Odd Functions The graphs of f, g, and h...Ch. P.3 - Prob. 78ECh. P.3 - Prob. 79ECh. P.3 - Prob. 80ECh. P.3 - Prob. 81ECh. P.3 - Prob. 82ECh. P.3 - Prob. 83ECh. P.3 - Prob. 84ECh. P.3 - Prob. 85ECh. P.3 - Prob. 86ECh. P.3 - Prob. 87ECh. P.3 - Prob. 88ECh. P.3 - Prob. 89ECh. P.3 - Prob. 90ECh. P.3 - Domain Find the value of c such that the domain of...Ch. P.3 - Domain Find all values of c such that the domain...Ch. P.3 - Graphical Reasoning An electronically controlled...Ch. P.3 - HOW DO YOU SEE IT? Water runs into a vase of...Ch. P.3 - Prob. 96ECh. P.3 - Prob. 95ECh. P.3 - Prob. 97ECh. P.3 - Prob. 98ECh. P.3 - Proof Prove that the function is odd...Ch. P.3 - Proof Prove that the function is even....Ch. P.3 - Prob. 101ECh. P.3 - Prob. 102ECh. P.3 - Length A right triangle is formed in the first...Ch. P.3 - Volume An open box of maximum volume is to be made...Ch. P.3 - Prob. 105ECh. P.3 - Prob. 106ECh. P.3 - Prob. 107ECh. P.3 - Prob. 108ECh. P.3 - Prob. 109ECh. P.3 - Prob. 110ECh. P.3 - Prob. 111ECh. P.3 - Prob. 112ECh. P.4 - Prob. 1ECh. P.4 - Prob. 2ECh. P.4 - Hooke's Law Hookes Law states that the force F...Ch. P.4 - Prob. 4ECh. P.4 - Prob. 5ECh. P.4 - Prob. 6ECh. P.4 - Beam Strength Students in a lab measured the...Ch. P.4 - Car Performance The time t (in seconds) required...Ch. P.4 - Engine Performance A V8 car engine is coupled to a...Ch. P.4 - Boiling Temperature The table shows the...Ch. P.4 - Prob. 11ECh. P.4 - Prob. 12ECh. P.4 - Harmonic Motion The motion of an oscillating...Ch. P.4 - Temperature The table shows the normal daily high...Ch. P.4 - Prob. 15ECh. P.4 - Prob. 16ECh. P.4 - PUTNAM EXAM CHALLENGE For i = 1,2, let Ti be a...Ch. P - Finding Intercepts In Exercises 1-4, find any...Ch. P - Finding Intercepts In Exercises 1-4, find any...Ch. P - Finding Intercepts In Exercises 1-4, find any...Ch. P - Prob. 4RECh. P - Prob. 5RECh. P - Prob. 6RECh. P - Prob. 7RECh. P - Prob. 8RECh. P - Prob. 9RECh. P - Prob. 10RECh. P - Prob. 11RECh. P - Prob. 12RECh. P - Prob. 13RECh. P - Prob. 14RECh. P - Prob. 15RECh. P - Prob. 16RECh. P - Prob. 17RECh. P - Prob. 18RECh. P - Prob. 19RECh. P - Prob. 20RECh. P - Prob. 21RECh. P - Prob. 22RECh. P - Prob. 23RECh. P - Prob. 24RECh. P - Prob. 25RECh. P - Prob. 26RECh. P - Prob. 27RECh. P - Sketching a Line in the Plane In Exercises 27-30,...Ch. P - Prob. 29RECh. P - Prob. 30RECh. P - Finding Equations of Lines Find equations of the...Ch. P - Prob. 32RECh. P - Rate of Change The purchase price of a new machine...Ch. P - Break-Even Analysis A contractor purchases a piece...Ch. P - Prob. 35RECh. P - Prob. 36RECh. P - Evaluating a Function In Exercises 37-40, evaluate...Ch. P - Prob. 38RECh. P - Prob. 39RECh. P - Prob. 40RECh. P - Prob. 41RECh. P - Prob. 42RECh. P - Prob. 43RECh. P - Prob. 44RECh. P - Prob. 45RECh. P - Prob. 46RECh. P - Transformations of Functions Use a graphing...Ch. P - Conjecture (a) Use a graphing utility to graph the...Ch. P - Prob. 49RECh. P - Think About It What is the minimum degree of the...Ch. P - Prob. 51RECh. P - Median Income The data in the table show the...Ch. P - Prob. 53RECh. P - Prob. 1PSCh. P - Finding Tangent Lines There are two tangent lines...Ch. P - Heaviside Function The Heaviside function H(x) is...Ch. P - Sketching Transformations Consider the graph of...Ch. P - Prob. 5PSCh. P - Prob. 6PSCh. P - Prob. 7PSCh. P - Prob. 8PSCh. P - Slope of a Tangent Line One of the fundamental...Ch. P - Slope of a Tangent Line Sketch the graph of the...Ch. P - Prob. 11PSCh. P - Graphing an Equation Explain how you would graph...Ch. P - Sound Intensity A large room contains two speakers...Ch. P - Sound Intensity Suppose the speakers in Exercise...Ch. P - Lemniscate Let d1 and d2 be the distances from the...
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