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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...

(1) Rectangle: Area and Perimeter A rectangle has an are...

(1) Rectangle: Area and Perimeter A rectangle has an area of 120 cm2. Its length and width are whole numbers. Show how you got your answer with explanation and diagrams or table. a) What are the possibilities for the two numbers? b) Which possibility gives the smallest perimeter? (...

SECTION 2 HYPERBOLIC FUNCTIONS There are another group of ...

SECTION 2 HYPERBOLIC FUNCTIONS There are another group of trigonometric functions called Hyperbolic Functions. They are defined as follows: Hyperbolic sine: sinhx = 2 Hyperbolic cosine: cosh x . 2 tanh x - siabx = "-0" Hyperbolic tan: cosh * e***** Hyperbolic sec: se...

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