Ministry of Higher Education and Scientific Research Al-Amarah University collage Dep. Engineering of Technical Mechanical power الجامعة العمارة ، Al-Amara كلية Diversity Examination 2023-2024 Subject: Mathematics Class: Second stage Time: 3 Hours Date25/5/2024 Lecturer:Asst.Lect. Ali Natiq Note: Answer Only Five Questions (for each questions 10 marks) Q1/A/ show the function f is differentiable f(z) = z² فاعلية ثلاث ثقافي B/ Find the volume body bounded by z = ex and region in xy plane representet by y = 0, y = x and x = 3 Q2/ Find the controid of the plate bounded by y = x and y = x² volume الصحة تونسية Q3/A/ Find the polar form and exponential function (2√√3-21) é B/ Find the equation of plan pass through point (3, 1, -2) and normal vector معادلة التقوي في لقضاء (i + 2j - 4k) Q4/ Find the relative maximum and minimum of f(x, y) = x3+ y³-3x-12y + 20 fea. Px4 Q5/ Find the square root of the (7+241) a²w a²w Q6/A/Find , for the function w = ln(x² + y²) +exy дхдудудх B/Find Distant between (1, 2, 3) and 3x+4y-z=1 المساقه بين نقط و المعادلة Абель Head of department Head o Dr. Abdul Hussein alhijami Tecturer Asst.Lect. Ali Natio Good luck
Ministry of Higher Education and Scientific Research Al-Amarah University collage Dep. Engineering of Technical Mechanical power الجامعة العمارة ، Al-Amara كلية Diversity Examination 2023-2024 Subject: Mathematics Class: Second stage Time: 3 Hours Date25/5/2024 Lecturer:Asst.Lect. Ali Natiq Note: Answer Only Five Questions (for each questions 10 marks) Q1/A/ show the function f is differentiable f(z) = z² فاعلية ثلاث ثقافي B/ Find the volume body bounded by z = ex and region in xy plane representet by y = 0, y = x and x = 3 Q2/ Find the controid of the plate bounded by y = x and y = x² volume الصحة تونسية Q3/A/ Find the polar form and exponential function (2√√3-21) é B/ Find the equation of plan pass through point (3, 1, -2) and normal vector معادلة التقوي في لقضاء (i + 2j - 4k) Q4/ Find the relative maximum and minimum of f(x, y) = x3+ y³-3x-12y + 20 fea. Px4 Q5/ Find the square root of the (7+241) a²w a²w Q6/A/Find , for the function w = ln(x² + y²) +exy дхдудудх B/Find Distant between (1, 2, 3) and 3x+4y-z=1 المساقه بين نقط و المعادلة Абель Head of department Head o Dr. Abdul Hussein alhijami Tecturer Asst.Lect. Ali Natio Good luck
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Ministry of Higher Education and
Scientific Research
Al-Amarah University collage
Dep. Engineering of Technical
Mechanical power
الجامعة
العمارة ،
Al-Amara
كلية
Diversity
Examination 2023-2024
Subject: Mathematics
Class: Second stage
Time: 3 Hours
Date25/5/2024
Lecturer:Asst.Lect. Ali Natiq
Note: Answer Only Five Questions (for each questions 10 marks)
Q1/A/ show the function f is differentiable f(z) = z²
فاعلية ثلاث ثقافي
B/ Find the volume body bounded by z = ex and region in xy plane
representet by y = 0, y = x and x = 3
Q2/ Find the controid of the plate bounded by y = x and y = x²
volume
الصحة تونسية
Q3/A/ Find the polar form and exponential function (2√√3-21) é
B/ Find the equation of plan pass through point (3, 1, -2) and normal vector
معادلة التقوي في لقضاء
(i + 2j - 4k)
Q4/ Find the relative maximum and minimum of
f(x, y) = x3+ y³-3x-12y + 20
fea.
Px4
Q5/ Find the square root of the (7+241)
a²w a²w
Q6/A/Find
,
for the function w = ln(x² + y²) +exy
дхдудудх
B/Find Distant between (1, 2, 3) and 3x+4y-z=1
المساقه بين نقط و
المعادلة
Абель
Head of department
Head o
Dr. Abdul Hussein alhijami
Tecturer
Asst.Lect. Ali Natio
Good luck
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