Calculus, Early Transcendentals
9th Edition
ISBN: 9781337613927
Author: Stewart
Publisher: CENGAGE L
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Chapter 9.2, Problem 7E
(a)
To determine
To Sketch: The graph of the solution for the given direction field that satisfies initial condition
(b)
To determine
To Sketch: The graph of the solution for the given direction field that satisfies initial condition
(c)
To determine
To Sketch: The graph of the solution for the given direction field that satisfies initial condition
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النموذج الاول
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بشما ند الحمر الحمر
الجمهورية الجنية
وزارة التربية والتعليم
اليوم
التاريخ
اللجنة العليا للاختبارات
الزمن
اختبار مادة الجبر والهندسة
لجنة المطابع السرية المركزية
للشهادة الثانوية العامة (القسم العلمي)
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 )
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5 ( ) إذا كان & = ۱ + ٣ ت ، فإن ٠ = ١٠ .
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11 ( ) إذا كانت النسبة بين الحدين الأوسطين تساوي 9 في المفكوك ( س + - ) ،…
Chapter 9 Solutions
Calculus, Early Transcendentals
Ch. 9.1 - Write a differential equation that models the...Ch. 9.1 - Write a differential equation that models the...Ch. 9.1 - Prob. 3ECh. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Determine whether the given function is a solution...Ch. 9.1 - Determine whether the given function is a solution...Ch. 9.1 - Prob. 9ECh. 9.1 - Prob. 12ECh. 9.1 - Show that the given function is a solution of the...
Ch. 9.1 - Prob. 14ECh. 9.1 - (a) For what values of r does the function y = erx...Ch. 9.1 - (a) For what values of k does the function y = cos...Ch. 9.1 - Which of the following functions are solutions of...Ch. 9.1 - (a) Show that every member of the family of...Ch. 9.1 - (a) What can you say about a solution of the...Ch. 9.1 - (a) What can you say about the graph of a solution...Ch. 9.1 - A population is modeled by the differential...Ch. 9.1 - The Fitzhugh-Nagumo model for the electrical...Ch. 9.1 - Explain why the functions with the given graphs...Ch. 9.1 - The function with the given graph is a solution of...Ch. 9.1 - Match the differential equations with the solution...Ch. 9.1 - Suppose you have just poured a cup of freshly...Ch. 9.1 - Psychologists interested in learning theory study...Ch. 9.1 - Von Bertalanffys equation states that the rate of...Ch. 9.1 - Differential equations have been used extensively...Ch. 9.2 - A direction field for the differential equation y'...Ch. 9.2 - A direction field for the differential equation...Ch. 9.2 - Match the differential equation with its direction...Ch. 9.2 - Match the differential equation with its direction...Ch. 9.2 - Match the differential equation with its direction...Ch. 9.2 - Match the differential equation with its direction...Ch. 9.2 - Prob. 7ECh. 9.2 - Use the direction field labeled III (above) to...Ch. 9.2 - Sketch a direction field for the differential...Ch. 9.2 - Sketch a direction field for the differential...Ch. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - (a) Use Eulers method with each of the following...Ch. 9.2 - A direction field for a differential equation is...Ch. 9.2 - Use Eulers method with step size 0.5 to compute...Ch. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - (a) Use Eulers method with step size 0.2 to...Ch. 9.2 - The figure shows a circuit containing an...Ch. 9.3 - Solve the differential equation. 1. dydx=3x2y2Ch. 9.3 - Solve the differential equation. 2. dydx=xy4Ch. 9.3 - Solve the differential equation. 2. dydx=xyCh. 9.3 - Solve the differential equation. 4. xy=y+3Ch. 9.3 - Solve the differential equation. 3. xyy=x2+1Ch. 9.3 - Solve the differential equation. 4. y+xey=0Ch. 9.3 - Solve the differential equation. 5. (ey1)y=2+cosxCh. 9.3 - Solve the differential equation. 8. dydx=2xy2+1Ch. 9.3 - Solve the differential equation. 9. dpdt=t2pp+t21Ch. 9.3 - Solve the differential equation. 10. dzdt+et+z=0Ch. 9.3 - Find the solution of the differential equation...Ch. 9.3 - Find the solution of the differential equation...Ch. 9.3 - Prob. 15ECh. 9.3 - Find the solution of the differential equation...Ch. 9.3 - Find the solution of the differential equation...Ch. 9.3 - Find the solution of the differential equation...Ch. 9.3 - Find the solution of the differential equation...Ch. 9.3 - Find an equation of the curve that passes through...Ch. 9.3 - Find the function f such that f(x) = xf(x) x and...Ch. 9.3 - Solve the differential equation y = x + y by...Ch. 9.3 - Solve the differential equation xy = y + xey/x by...Ch. 9.3 - (a) Solve the differential equation y=2x1y2. (b)...Ch. 9.3 - Solve the equation eyy + cos x = 0 and graph...Ch. 9.3 - Find the orthogonal trajectories of the family of...Ch. 9.3 - Find the orthogonal trajectories of the family of...Ch. 9.3 - Find the orthogonal trajectories of the family of...Ch. 9.3 - Find the orthogonal trajectories of the family of...Ch. 9.3 - Find a function f such that f(3) = 2 and (t2 +...Ch. 9.3 - Solve the initial-value problem in Exercise 9.2.27...Ch. 9.3 - In Exercise 9.2.28 we discussed a differential...Ch. 9.3 - In an elementary chemical reaction, single...Ch. 9.3 - A sphere with radius 1 m has temperature 15C. It...Ch. 9.3 - A glucose solution is administered intravenously...Ch. 9.3 - A certain small country has 10 billion in paper...Ch. 9.3 - A tank contains 1000 L of brine with 15 kg of...Ch. 9.3 - The air in a room with volume 180 m3 contains...Ch. 9.3 - A vat with 500 gallons of beer contains 4% alcohol...Ch. 9.3 - A tank contains 1000 L of pure water. Brine that...Ch. 9.3 - An object of mass m is moving horizontally through...Ch. 9.3 - A model for tumor growth is given by the Gompertz...Ch. 9.3 - Prob. 1APCh. 9.3 - Prob. 2APCh. 9.4 - A population grows according to the given logistic...Ch. 9.4 - A population grows according to the given logistic...Ch. 9.4 - The Pacific halibut fishery has been modeled by...Ch. 9.4 - Suppose a population P(t) satisfies...Ch. 9.4 - Suppose a population grows according to a logistic...Ch. 9.4 - The population of the world was about 6.1 billion...Ch. 9.4 - Prob. 10ECh. 9.4 - Prob. 11ECh. 9.4 - Biologists stocked a lake with 400 fish and...Ch. 9.4 - (a) Show that if P satisfies the logistic equation...Ch. 9.4 - For a fixed value of M (say M = 10), the family of...Ch. 9.4 - Consider a population P = P(t) with constant...Ch. 9.4 - Prob. 21ECh. 9.4 - In a seasonal-growth model, a periodic function of...Ch. 9.4 - Prob. 24ECh. 9.4 - Prob. 25ECh. 9.5 - Determine whether the differential equation is...Ch. 9.5 - Determine whether the differential equation is...Ch. 9.5 - Determine whether the differential equation is...Ch. 9.5 - Determine whether the differential equation is...Ch. 9.5 - Solve the differential equation. 5. y' + y = 1Ch. 9.5 - Solve the differential equation. 6. y' y = exCh. 9.5 - Solve the differential equation. 7. y' = x yCh. 9.5 - Solve the differential equation. 8. 4x3y + x4y' =...Ch. 9.5 - Solve the differential equation. 9. xy+y=xCh. 9.5 - Solve the differential equation. 10. 2xy+y=2xCh. 9.5 - Solve the differential equation. 11. xy2y=x2,x0Ch. 9.5 - Solve the differential equation. 12. y3x2y=x2Ch. 9.5 - Solve the differential equation. 13....Ch. 9.5 - Solve the differential equation. 14....Ch. 9.5 - Solve the differential equation. 15. y+ycosx=xCh. 9.5 - Solve the differential equation. 16. y+2xy=x3ex2Ch. 9.5 - Solve the initial-value problem. 17....Ch. 9.5 - Solve the initial-value problem. 18....Ch. 9.5 - Solve the initial-value problem. 15....Ch. 9.5 - Solve the initial-value problem. 16....Ch. 9.5 - Solve the initial-value problem. 17....Ch. 9.5 - Solve the initial-value problem. 18....Ch. 9.5 - Solve the initial-value problem. 19....Ch. 9.5 - Solve the initial-value problem. 20....Ch. 9.5 - Solve the differential equation and use a...Ch. 9.5 - Prob. 26ECh. 9.5 - Bernoulli Differential Equations A Bernoulli...Ch. 9.5 - Bernoulli Differential Equations A Bernoulli...Ch. 9.5 - Bernoulli Differential Equations A Bernoulli...Ch. 9.5 - Solve the second-order equation xy" + 2y' = 12x2...Ch. 9.5 - Prob. 31ECh. 9.5 - Prob. 32ECh. 9.5 - The figure shows a circuit containing an...Ch. 9.5 - Prob. 34ECh. 9.5 - Prob. 35ECh. 9.5 - A tank with a capacity of 400 L is full of a...Ch. 9.5 - An object with mass m is dropped from rest and we...Ch. 9.5 - Prob. 40ECh. 9.5 - Show that the substitution z = 1/P transforms the...Ch. 9.5 - Prob. 42ECh. 9.6 - For each predator-prey system, determine which of...Ch. 9.6 - Each system of differential equations is a model...Ch. 9.6 - The system of differential equations...Ch. 9.6 - Prob. 4ECh. 9.6 - Prob. 5ECh. 9.6 - Prob. 6ECh. 9.6 - Prob. 7ECh. 9.6 - Graphs of populations of two species are shown....Ch. 9.6 - Populations of aphids and ladybugs are modeled by...Ch. 9.6 - Prob. 11ECh. 9 - (a) What is a differential equation? (b) What is...Ch. 9 - What can you say about the solutions of the...Ch. 9 - What is a direction field for the differential...Ch. 9 - Explain how Euler's method works.Ch. 9 - What is a separable differential equation? How do...Ch. 9 - What is a first-order linear differential...Ch. 9 - (a) Write a differential equation that expresses...Ch. 9 - (a) Write the logistic differential equation. (b)...Ch. 9 - (a) Write Lotka-Volterra equations to model...Ch. 9 - Determine whether the statement is true or false....Ch. 9 - Determine whether the statement is true or false....Ch. 9 - Determine whether the statement is true or false....Ch. 9 - Determine whether the statement is true or false....Ch. 9 - Determine whether the statement is true or false....Ch. 9 - Prob. 7TFQCh. 9 - Determine whether the statement is true or false....Ch. 9 - (a) A direction field for the differential...Ch. 9 - (a) Sketch a direction field for the differential...Ch. 9 - (a) A direction field for the differential...Ch. 9 - (a) Use Euler's method with step size 0.2 to...Ch. 9 - Solve the differential equation. 5. y=xesinxycosxCh. 9 - Solve the differential equation. 6. dxdy=1t+xtxCh. 9 - Solve the differential equation. 7. 2yey2y=2x+3xCh. 9 - Solve the differential equation. 8. x2yy=2x3e1/xCh. 9 - Solve the initial-value problem. 9....Ch. 9 - Solve the initial-value problem. 10. (1 + cos x)...Ch. 9 - Solve the initial-value problem. 11. xy' y = x ln...Ch. 9 - Solve the initial-value problem y' = 3x2ey, y(0) =...Ch. 9 - Find the orthogonal trajectories of the family of...Ch. 9 - Find the orthogonal trajectories of the family of...Ch. 9 - (a) Write the solution of the initial-value...Ch. 9 - The von Bertalanffy growth model is used to...Ch. 9 - A tank contains 100 L of pure water. Brine that...Ch. 9 - One model for the spread of an epidemic is that...Ch. 9 - The Brentano-Stevens Law in psychology models the...Ch. 9 - The transport of a substance across a capillary...Ch. 9 - Populations of birds and insects are modeled by...Ch. 9 - Suppose the model of Exercise 22 is replaced by...Ch. 9 - Barbara weighs 60 kg and is on a diet of 1600...Ch. 9 - Find all functions f such that f' is continuous...Ch. 9 - A student forgot the Product Rule for...Ch. 9 - Let f be a function with the property that f(0) =...Ch. 9 - Find all functions f that satisfy the equation...Ch. 9 - Find the curve y = f(x) such that f(x) 0, f(0) =...Ch. 9 - A subtangent is a portion of the x-axis that lies...Ch. 9 - A peach pie is taken out of the oven at 5:00 pm....Ch. 9 - Snow began to fall during the morning of February...Ch. 9 - (a) Suppose that the dog in Problem 9 runs twice...Ch. 9 - A planning engineer for a new alum plant must...Ch. 9 - Find the curve that passes through the point (3,...Ch. 9 - Recall that the normal line to a curve at a point...Ch. 9 - Find all curves with the properly that if the...Ch. 9 - Find all curves with the property that if a line...
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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…arrow_forward2. 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 Rarrow_forwardChoose a convenient order When converted to an iterated integral, the following double integrals are easier to evaluate in one order please show all stepsarrow_forward
- The graph of f' is below. Use it to determine where the local minima and maxima for f are. If there are multiple answers, separate with commas. 2 f'(x) N -5 -4 3-2-1 -1 -2 -3 -4 12 3 4 5 -x Local minima at x Local maxima at xarrow_forwardThe graph of f' is below. Use it to determine the intervals where f is increasing. -5-4-32 4- 3 2 1 -2 -3 +x 2 3 4 5arrow_forwardThe graph of f' is below. Use it to determine where the inflection points are and the intervals where f is concave up and concave down. If there are multiple inflection points, separate with a comma. 6 5 4 3 2 1 f'(x) +x -6-5-4-3 -2 -1 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6+ Inflection point(s) at x = Concave up: Concave down:arrow_forward
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