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Math 17 Third Long Exam

I. Find the solution set of the following:

(1) x2

2 x1

(2) y= 2x2 + 4x 1

y+ 4x 5 = 0

(3)

2

x 2

y+1 4

z=4

3

x+ 2

y+1 3

z= 2

1

x+ 3

y+1+ 1

z= 4

II. Find the domain and range of of

F ={(x, y) R2 :xy = 1 x2}

III. Let f : [1, +) (, 0] defined byy= |x+ 1| and g: (, 0] [1, +)

defined by y= x2

1(i) Show : fis onto and 1 1

(ii) Find f1

(iii) Define g f and f g

IV. In a typing class, the teacher requires his studentto follow the following margins: The top and bot-tom margins must be 1.5 inches and the sides mustbe 1.0 inches so that the text to be typed must beinside an area of 48 square inches. If the total areaof the paper to be used is 88 square inches. Find

the dimensions of the paper.

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Math 17 Third Long Exam

I. Find the solution set of the following:

(1) x2

2 x1

(2) y= 2x2 + 4x 1y+ 4x 5 = 0

(3)

2

x 2

y+1 4

z=4

3x

+ 2y+1

3z

= 2

1

x+ 3

y+1+ 1

z= 4

II. Find the domain and range of of

F ={(x, y) R2 :xy = 1 x2}

III. Let f : [1, +) (, 0] defined byy= |x+ 1| and g: (, 0] [1, +)defined by y= x2 1

(i) Show : fis onto and 1 1

(ii) Find f1

(iii) Define g f and f g

IV. In a typing class, the teacher requires his studentto follow the following margins: The top and bot-tom margins must be 1.5 inches and the sides mustbe 1.0 inches so that the text to be typed must beinside an area of 48 square inches. If the total areaof the paper to be used is 88 square inches. Findthe dimensions of the paper.

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Math 17 Third Long Exam

I. Find the solution set of the following:

(1) x2

2 x1

(2) y= 2x2 + 4x 1

y+ 4x 5 = 0

(3)

2

x 2

y+1 4

z=4

3

x+ 2

y+1 3

z= 2

1

x+ 3

y+1+ 1

z= 4

II. Find the domain and range of of

F={(x, y) R2 : xy = 1 x2}

III. Let f : [1, +) (, 0] defined byy= |x+ 1|and g: (, 0] [1, +)

defined by y= x2

1(i) Show : f is onto and 1 1

(ii) Find f1

(iii) Defineg f and f g

IV. In a typing class, the teacher requires his studentto follow the following margins: The top and bot-tom margins must be 1.5 inches and the sides mustbe 1.0 inches so that the text to be typed must beinside an area of 48 square inches. If the total areaof the paper to be used is 88 square inches. Find

the dimensions of the paper.

- -

Math 17 Third Long Exam

I. Find the solution set of the following:

(1) x2

2 x1

(2) y= 2x2 + 4x 1y+ 4x 5 = 0

(3)

2

x 2

y+1 4

z=4

3x

+ 2y+1

3z

= 2

1

x+ 3

y+1+ 1

z= 4

II. Find the domain and range of of

F={(x, y) R2 : xy = 1 x2}

III. Let f : [1, +) (, 0] defined byy= |x+ 1|and g: (, 0] [1, +)defined by y= x2 1

(i) Show : f is onto and 1 1

(ii) Find f1

(iii) Defineg f and f g

IV. In a typing class, the teacher requires his studentto follow the following margins: The top and bot-tom margins must be 1.5 inches and the sides mustbe 1.0 inches so that the text to be typed must beinside an area of 48 square inches. If the total areaof the paper to be used is 88 square inches. Findthe dimensions of the paper.

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