Math Exam for Al-Qadisiyah University Students - Roads and Transport Department, Exercises of Mathematical logic

Download Math Exam for Al-Qadisiyah University Students - Roads and Transport Department and more Exercises Mathematical logic in PDF only on Docsity! Class: 1* Stage ] University Of Al-Qadisiyah Subject: Mathematics College of Engineering Time: 90 minutes Date: 25/1/2014 Note Department of Roads and Transport Examiner: Mr. SAMER H. MALIK First Course Examination 20:3-2014 Ql: A- Use the limit definition to compute the derivative for f(x) = Vx” — x x4 +3x>-13x? -27x 4+ 36 B- Find the derivative of : f(x) = 5 ! x°+3x-4 (30 marks) } Q2: In the one of experimental works , 3 groups of bricks has been taken to the test of compressive strength . The results of the test shows in the table below : 1 - Draw the function of the average compressive strength . 2 - Find the domain and range of the function . (30 marks) 3 — Shift the function of the average compressive strength 4 units to the left , then reflect it around x- axis. o.of | Load(N) | $ re : Xx Q3: Evaluate the following limits by direct method: ( choose two only ) _ tan? sx _ vxth—-vVx l- lim ———— 2- lim a (20 marks) x40 x ho | 3 -lim z = w xsi SIN X x Q4: Find y- intercept and slop of the line with equation 3x —6y -7= 0 (20 marks) eee Examiner Or. Jalal T. $. Al-Obaedi Mr. SAMER H. MALIK Class: 1* Stage Subject: Mathematics Time: 90 minutes Date: 25/1/2014 Note | [| University Of Al-Qadisiyah College of Engineering | Department of Roads and Transport Examiner: Mr. SAMER H. MALIK First Course Examination 20:3-2014 Ql: A- Use the limit definition to compute the derivative for f(x) = Vx” —x x‘ 43x -13x? -27x +36 B- Find the derivative of : f(x) = ind the derivative o J (x) x 43x-4 (30 marks) | Q2: In the one of experimental works , 3 groups of bricks has been taken to the test of compressive strength . The results of the test shows in the table below : 1 - Draw the function of the average compressive strength. 2 - Find the domain and range of the function. (30 marks) }| 3 — Shift the function of the average compressive strength 4 units to the left , then reflect it around x- 1 axis. No.of} Loa ~ | Area(mm?) sroul i i ts ce i | = Xx J a28 2X ra | Be 3/2 X VY ] | Q3: Evaluate the following limits by direct method: ( choose two only ) . tan? Sx _ vxth—-vVx ] 1- lim ——— 2- lim —— (20 marks) x40 x hao h L 3-lim — rat Sin x x Q4: Find y- intercept and slop of the line with equation 3x — 6y -7= 0 (20 marks) Gece Leal Head of Department Examiner Or. Jalal T. S. Al-Obaedi Mr. SAMER H. MALIK [_ | = bin eth aoe hee - ee = de Ux th + ve") i i Gy -4 = oe 7 Foe ys bag é per a —t- Xz o ~ 7 a= €