اختباركمي102

اجب عن جميع الأسئلة

السؤال الأول

أ-اوجد قيمة

1/       -7-10+3=

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2/      23×22=

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3/     -6+7=

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ب-اوجد حل المعادلات التالية:

1/    3x-5=11

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2/    x2+5x+6=0

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ج -اوجد حل المتباينات:-

     3x+2≥8

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السؤال الثاني

أ- اوجد قيمة مايلى:-

1/    limx→31=

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2/    limx→26x3+2x-1

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3/    limx→∞x3+2x-3x3-5x+1

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4/    limx→1x2-1 x-1

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ب- اوجد  y'  اذا كان

1/    y=2x+3x2+7

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2/    y=3x+6x-1

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3/    y=3x4+x-5

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4/    y=e5x

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السؤال الثالث

أ- اوجد تكامل

/    (2x4+x)dx1

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2/    exdx

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3/    x2x3+12dx

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4/     3dx

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5/      02(2x+3)dx

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ب-اعتبر المصفوفاتB=3102-41-10-2                 A=20-15-213-10

اوجد

1/ A+B

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2/ A-B

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3/    A

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4/    AT

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5/ A×B

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ج - حل النظام الخطى

4x+3y=15

x+y=4

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جامعة المجمعة

كلية العلوم و الدراسات الإنسانية برماح

قسم ادارة الاعمال

الاختبار النهائي لمادة الأساليب الكمية 2                 الزمن :ساعتان

اجب عن جميع الأسئلة

السؤال الأول

أ-اوجد قيمة

1/1/4-11+7=

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2/45×42=

 

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3/log69+log64=

 

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………………………………………………………………………………………………………………..ب-اوجد في ابسط صورةxyx+y÷xx+y

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ج-اوجد حل المعادلات التالية:

1-5x+2=12

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2-2x2+x+1=0

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د -اوجد حل المتباينات:-

1-2x-4≤6

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2-x2+5x+6 >0

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السؤال الثاني

أ- اذا كان     fx=3x2+5x-2

 اوجدf(1),f-2,f(4)

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ب-اوجد قيمة مايلى:-

1-limx→59

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2-limx→24x2+x-5

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3-limx→∞6x4+x-112x4-x+2

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4-limx→1x2-1 x-1

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5-limx→43x-3

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ج-  ابحث اتصال الدالة 

fx=x2-9x-3 x≠38 x=3

 

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د-اوجد نقاط الدوران للدالة

y=-x2+5x-4

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ه- اوجد  y'  اذا كان

1-y=x+12x3-2

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2-y=2x2+4x-15x-1

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3-y=x2+2x-3

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4-y=2x2+4x+13+3x2+2

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5-y=e2x

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و- اوجد ,y'' ,y'y'''اذا كانت        y=3x4+x2+2x-1

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السؤال الثالث

أ- اوجد تكامل

1-(x3+4x+3)dx

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2-exdx

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3-.xx2+54dx

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4-5dx

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5-01(x-2)dx

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ب-اعتبر المصفوفاتB=205-431104                 A=42-63015-1-3اوجد

1-A-B

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2-A+B

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3-A

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4-AT

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ج -حل النظام الخطى

 

3x+y=7

2x+y=5

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