Department of Foundation and General Studies.gmath.-assign1winter

7/27/2019 Department of Foundation and General Studies.gmath.-assign1winter

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Department of Foundation and General Studies

Academic Year 2012 - 2013, Semester winter

General Mathematics /SAT 101

Marks Obtained:

Name of Student:___________________________________________ Student ID: ___________________

Assignment (1)

Q1)


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Q2)

Q3) [10 Marks]

Q1


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Evaluate the following expressions and express your answer in the form

biaz :

1.ii

12

2. Conjugate of )3

1.(3 ii which might be written as:

*

3

1.3

ii


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Q3

Solve the following Quadratic Equation for values of (x) :

1. Using trial and error method.

2. Using the Formula method.

Q4

123 2 xx


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Q5

A- Are the following functions one-to-one? Explain why.

1. 3)( xxf

2. 2)( xxg

B-

1. Express 448 x without using the absolute-value symbol.

2. Solve 662 x .

3. Solve 39 x

4. Solve 842 x


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Q6

Which of the following functions:

3

1

)( xxg

or

3

)(

xxh

is an inverse function to :

3)( xxf

Explain why.

Use Gauss Elimination Method to find the solution ( if it has).

Find the value of (y) that satisfies the solution for the following system of linear


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equations using Cramers Rule:

324 zyx

zyx 713

zyx 982

1. The model for continuous compounding is A = P ert.

A is the Amount, P is the Principal, r is the annual percentage rate

(written as a decimal), and t is the time in years.e

is the base for

natural logarithm.

Use logarithms to Find ( r ) if the amount of money accumulated,

A=$50000 after depositing a Principal of $250000 for 15 years.

Solve the value of (y) that satisfies the following exponential equation.

1200074 )5 y

Show that the exponential function:

xaxf )(

and the logarithmic function:

xxg alog)(

are inverse functions.


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Department of Foundation and General Studies.gmath.-assign1winter