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1. Given the sets, find the combinations. U ={0,1,2,3,4,5,6...

1. Given the sets, find the combinations. U ={0,1,2,3,4,5,6,7,8,9,10,11,12,13} A = (1, 3, 5, 7, 9, 11, 13} B = {0, 2, 4, 6, 8, 10, 12} C = {2, 4, 6, 8, 10} D = {9,10,1 11, 12, 13} a. AUC b. A'nD' c. BnD d. B ( CUD) 2. True or False. a. 3 € {2,5,7,9} b. 5 E{1,4,6,8} C. {1,4,8} n {2,...

Part I – Multiple Choice (1 mark each) If (2, 3) i...

Part I – Multiple Choice (1 mark each) If (2, 3) is a point on the graph of y = f (x), what point must be on the graph of y=3f(1/4 x)? a) (1/2,1) b) (1/2,9) c) (8,1) d) (8,9) 1. ________ The graph of y = f(x) has an x- intercept at 3. The graph of y = 3f(2x) will ha...

1. 2. 3. 4. The following system of equations represents...

1. 2. 3. 4. The following system of equations represents three planes in space. x+3y+•z : -l x + 2y - 2z= 15 2x+y - z=6 Find the coordinates of the point of intersection of the three !Planes. The function f is defined as f(x) = 3 x + 2 • x e JR, x * -I . x + l Sketch the graph...

The following diagram shows a sector of a circle where AOB =...

The following diagram shows a sector of a circle where AOB = -'" radians and the length of • 2 the arc AB = - cm. • .l' I • Given that the area of the sector is 16 cm~ , find the length of the arc AB. Using integration by parts find f x sin x dx. (a) Write down and simpif...

1. Determine the equatio 2. 2. Given y = x 2 + 2 a. Find r...

1. Determine the equatio 2. 2. Given y = x 2 + 2 a. Find roots of the given equation. b. Find the y-intercept. 3. Given that mass m of a sphere is directly proportional to the cube of its radius r and m = 54 when r =3, find the value of m when r = 4. Determine the equation of the line shown ...

MUSICAL MATHS "If music be the food of love, play ...

MUSICAL MATHS "If music be the food of love, play on. - William Shakespeare. When students first learn about trigonometry, it is often very difficult to see beyond the basics of "sin", "cos" and "tan" to get a good appreciation for jus...

Rearrange the following formulae to make the variable in bra...

Rearrange the following formulae to make the variable in brackets the subject. a) v=u+at (a) b) A=(a+b) (b) 2 2. The formula for the surface area of a sphere is A=4m² = a) Rearrange this formula to make the radius, r, the subject. b) Use this new formula to find the radius of a sph...

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