DHA Suffa University
Mid Term Examination # 1
Course Code: Preparatory Mathematics Date: 10/10/12
Time Allowed: 50 minutes Fall 2012 Max.Marks:60
Instruction: Attempt all questions.
Q2: Find the natural domain of the following functions.
(10-marks)
Q3: An open box is to constructed from a rectangular sheet of metal, 8 inches by 15 inches, by cutting
out squares with sides of length ‘x’ from each corner and bending up the sides. (10-marks)
a) Sketch the diagram. (2-marks)
b) Express the area ‘A’ as a function ‘x’.
c) Find the natural domain and range of the function for the physical restriction on the values of
‘A’ and ‘x’.
Q4: Find the formula for and (10-marks)
(Also find the Domain of )
Q5: Solve the inequality and sketch the solution on a coordinate line. (10-marks)
Q6: Find the square root of the complex number 3-4i. Express your answer in Cartesian form.
(10-marks)
Objectives: (Do as directed) (10-minutes)
(10-marks)
1) is the graph symmetric about .
a) x-axis b) y-axis c) Origin d) None of them.
2) is _______________ function.
a) Even b) Odd c) Neither d) None of them.
3) If we replace ‘x’ by ‘-x’ in the function then geometric effect is reflection
a) About x-axis b) About y – axis c) None of them.
4) A domain with its natural restriction is known as.
a) Natural domain b) Simple domain c) None
5) Semi circle y=(1-x2)1/2 is not a function of x.
a) True b) False
6) Every one to one function must also be onto.
a) True b) False
7) Slope of a secant line represents which of the following quantity in physics.
a) Instantaneous velocity b) Average velocity c) Uniform velocity
8) Can y = f(x) be symmetric with respect to x-axis. Give reason for your answer.
9) Every real number can also be written in the form of a complex number.
a)True b) False
10) The natural restriction of radical function is
a) b) c) d) None of them
