Graph the set and write the interval notation

Assignment Help Mathematics

Reference no: EM132510194

Question 1. Let X = {1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13 }, Y = { 1, 2, 4, 5, 6, 8, 9, 10, 13 } and Z = { 1, 3, 5, 6, 7, 9, 11, 12, 13, 15 }. Find

a) Y∩X

b) Z ∪X

c) X ∩Y ∩Z

d) Z ∩X ∪ Y

Question 2. Simplify the following expressions:

a) ?( 23 a^(-5) b^(-3))?^2 ?( b^9 a^(-11) )?^6

b) (13 ?z^15 x?^19)/(78 ? z^(-27 ) x?^(-28) )

c) √(5&x^32 y^12 z^25 )

Question 3. The interval notation of the following graph is :

-4 -3 -2 -1 0 1 2 3

-5 -4 -3 -2 -1 0 1

Question 4. Simplify the following expressions:

a) ( ?8x?^3/27 - 11)( (8x^3)/27 + 11)

b) ?( 8d-15c)?^3

c) (6x + 19)/(5x - 8)+ (12x + 8)/(5x + 1)

d) (?3x?^2-7x+13)(6x-1)

Question 5. Find the Midpoint of the line joining the points ( -21,-35 ) and ( -18,24 )

Question 6. Find the Number of Real solution of the quadratic equation ?5x?^2-7x-1=0

Question 7. Show that the points (7,3) and (3,7) are the same distance from the origin

Question 8. Solve the quadratic equation
a)?10x?^2-x-21=0

b) 34x+17= -2x-55

Question 9. Find the Equation of Circle with the Center ( -5,-6 ) and radius 15

Question 10. Rent of a hotel room is 45 omr per day and 100 baise for every phone call made . Malak stays in the hotel room for three days and paid a bill of 215 omr . How many phone calls does she made ?

Question 11. Solve

13x-15>19x+9

51≤15x + 21 <-33

Question 12. The Equation of line passing through the point (-3,8) and parallel to the line 7y=21x-6

Question 13. Rationalize 17z/√(8 -19y)

Question 14. The angle of elevation to the top of the empire state building is found to be 45° from the ground at a distance of 22 m from the base of the building. Find the height of the empire state building

Question 15. Solve the following equation algebraically and graphically

5x-3=2x+6

Question 16. The Remainder of the polynomial when ?-3x?^3+11x-7 divided by x+2

Question 17. Solve ?(7x-5)?^2=121

Question 18. For the below triangle

Show that 1+ cot^2 θ= Cosec^2 θ

Question 19. Find the Length of the arc and Area of Sector of the circle having a radius of 19 cm and angle of 7π/13

Question 20. Graph the set and write the interval notation

[ -2,6 )∪[1,8)

( -∞,5 ]∩(-1,9 ]

Reference no: EM132510194

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