Thomas' Calculus (14th Edition)
14th Edition
ISBN: 9780134438986
Author: Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher: PEARSON
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Chapter 9.2, Problem 3E
To determine
To solve: The
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الفترة
%97
(1)
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 )
)1
)
2
)
3
)
4
) بؤرة القطع س" = ١٢ ص هي (
۲
) طول المحور الأصغر للقطع ٩ س + ص = ٩ يساوي 6 وحدات طول .
) إذا كان & عدد مركب ، 181 + 11 = ٦ ، فإن ١١ = ٣ .
) إذا كان م + ۳ ت = ۲ + ت ب م ، ب دع ، فإن م + ب =
5 ( ) إذا كان & = ۱ + ٣ ت ، فإن ٠ = ١٠ .
6 ( - ) إذا كان ٥٠ - ٣ - ١٢٠ ٤ - ٣ ، فإن قيمة ٧ = ٥ .
1
)
=
N
) إذا كان ح هو الحد الخالي من س في المفكوك ( س +
v. N
8 ( ( قيمة المقدار , = + ۱ ، * . . +
، فإن قيمة ٧ = ١٦ .
۱ +
9 ( ) المستقيمان المقاربان للقطع الذي معادلته س" = ١ هما ص = :
۹
10 ( ) إذا كان ٥ + س = ٢٤ ، فإن قيمة س = - 1
س
11 ( ) إذا كانت النسبة بين الحدين الأوسطين تساوي 9 في المفكوك ( س + - ) ،…
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
Chapter 9 Solutions
Thomas' Calculus (14th Edition)
Ch. 9.1 - In Exercises 1–4, match the differential equations...Ch. 9.1 - In Exercises 1–4, match the differential equations...Ch. 9.1 - In Exercises 1–4, match the differential equations...Ch. 9.1 - In Exercises 1–4, match the differential equations...Ch. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - Prob. 8ECh. 9.1 - In Exercises 7–12, write an equivalent first-order...Ch. 9.1 - Prob. 10E
Ch. 9.1 - Prob. 11ECh. 9.1 - In Exercises 7–12, write an equivalent first-order...Ch. 9.1 - Prob. 13ECh. 9.1 - In Exercises 13 and 14, consider the differential...Ch. 9.1 - In Exercises 15–20, use Euler’s method to...Ch. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - In Exercises 15–20, use Euler’s method to...Ch. 9.1 - Use the Euler method with dx = 0.2 to estimate...Ch. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.2 - Solve the differential equations in Exercises...Ch. 9.2 - Solve the differential equations in Exercises...Ch. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Solve the differential equations in Exercises...Ch. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Solve the differential equations in Exercises...Ch. 9.2 - Prob. 10ECh. 9.2 - Solve the differential equations in Exercises...Ch. 9.2 - Solve the differential equations in Exercises...Ch. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Solve the initial value problems in Exercises...Ch. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Solve the exponential growth/decay initial value...Ch. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Current in an open RL circuit If the switch is...Ch. 9.2 - Prob. 27ECh. 9.2 - Derivation of Equation (7) in Example 4
Show that...Ch. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Solve the Bernoulli equations in Exercises...Ch. 9.3 - Coasting bicycle A 66-kg cyclist on a 7-kg bicycle...Ch. 9.3 - Prob. 2ECh. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - Prob. 10ECh. 9.3 - Show that the curves 2x2 + 3y2 = 5 and y2 = x3 are...Ch. 9.3 - Prob. 12ECh. 9.3 - Salt mixture A tank initially contains 100 gal of...Ch. 9.3 - Prob. 14ECh. 9.3 - Fertilizer mixture A tank contains 100 gal of...Ch. 9.3 - Prob. 16ECh. 9.4 - Prob. 1ECh. 9.4 - Prob. 2ECh. 9.4 - Prob. 3ECh. 9.4 - Prob. 4ECh. 9.4 - Prob. 5ECh. 9.4 - Prob. 6ECh. 9.4 - Prob. 7ECh. 9.4 - Prob. 8ECh. 9.4 - Prob. 9ECh. 9.4 - Prob. 10ECh. 9.4 - Prob. 11ECh. 9.4 - Prob. 12ECh. 9.4 - Prob. 13ECh. 9.4 - Controlling a population The fish and game...Ch. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9.4 - Prob. 17ECh. 9.4 - Prob. 18ECh. 9.4 - Prob. 19ECh. 9.4 - Prob. 20ECh. 9.5 - Prob. 1ECh. 9.5 - Prob. 2ECh. 9.5 - Develop a model for the growth of trout and bass,...Ch. 9.5 - Prob. 4ECh. 9.5 - Consider another competitive-hunter model defined...Ch. 9.5 - An economic model Consider the following economic...Ch. 9.5 - Two trajectories approach equilibrium Show that...Ch. 9.5 - Prob. 8ECh. 9.5 - Prob. 9ECh. 9.5 - Prob. 10ECh. 9.5 - Prob. 11ECh. 9.5 - In 1925 Lotka and Volterra introduced the...Ch. 9.5 - Prob. 13ECh. 9.5 - At some time during a trajectory cycle, a wolf...Ch. 9 - Prob. 1GYRCh. 9 - What is a general solution? What is a particular...Ch. 9 - Prob. 3GYRCh. 9 - Prob. 4GYRCh. 9 - Prob. 5GYRCh. 9 - What is an orthogonal trajectory of a family of...Ch. 9 - Prob. 7GYRCh. 9 - Prob. 8GYRCh. 9 - Prob. 9GYRCh. 9 - Prob. 10GYRCh. 9 - Prob. 1PECh. 9 - Prob. 2PECh. 9 - In Exercises 1-22, solve the differential...Ch. 9 - Prob. 4PECh. 9 - Prob. 5PECh. 9 - In Exercises 1-22, solve the differential...Ch. 9 - Prob. 7PECh. 9 - Prob. 8PECh. 9 - Prob. 9PECh. 9 - Prob. 10PECh. 9 - Prob. 11PECh. 9 - Prob. 12PECh. 9 - Prob. 13PECh. 9 - Prob. 14PECh. 9 - Prob. 15PECh. 9 - Prob. 16PECh. 9 - Prob. 17PECh. 9 - Prob. 18PECh. 9 - Prob. 19PECh. 9 - Prob. 20PECh. 9 - Prob. 21PECh. 9 - Prob. 22PECh. 9 - Prob. 23PECh. 9 - Prob. 24PECh. 9 - Prob. 25PECh. 9 - Prob. 26PECh. 9 - Prob. 27PECh. 9 - Prob. 28PECh. 9 - Prob. 29PECh. 9 - Prob. 30PECh. 9 - Prob. 31PECh. 9 - Prob. 32PECh. 9 - Prob. 35PECh. 9 - Prob. 36PECh. 9 - In Exercises 35–38, sketch part of the equation’s...Ch. 9 - Prob. 38PECh. 9 - Prob. 39PECh. 9 - Prob. 40PECh. 9 - Prob. 41PECh. 9 - Prob. 42PECh. 9 - Prob. 43PECh. 9 - Prob. 44PECh. 9 - Prob. 1AAECh. 9 - Prob. 2AAECh. 9 - Prob. 3AAECh. 9 - Prob. 4AAECh. 9 - Prob. 5AAECh. 9 - Prob. 6AAECh. 9 - Prob. 7AAECh. 9 - Prob. 8AAECh. 9 - Prob. 9AAECh. 9 - Prob. 10AAE
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