Pure Flashcards

1
Q

What is the Log Law of Multiplication?

A

It states that when adding two or more logarithms with the same base, you can multiply the outputs(brackets).

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2
Q

What is the Log Law of Division?

A

It states that when subtracting two or more logs with the same base, you can divide the outputs(brackets).

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3
Q

What is the cos formula for trigonometry?

A

a²= b² + c² - 2bc CosA

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4
Q

What is the sin rule formula for trigonometry?

A

Sin A Sin B Sin C
÷ = ÷ = ÷
a b c

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5
Q

What is the quadratic formula?

A

x= (-b±√ b²-4ac) / 2a

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6
Q

What equation gives abc for the quadratic formula?

A

ax² + bx + c = 0

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7
Q

What is it called when adding two or more logs with the same base?

A

Log law of Multiplication

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8
Q

What is it called when subtracting two or more logs with the same base?

A

Log law of Divison

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9
Q

Which values for the discriminant tell us the number of roots on a parabola?

A

<0 = 2 roots
0 = 1 root
>0 = 0 roots

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10
Q

What is the equation to work out the vertex on a parabola?

A

-b
_______
2a

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11
Q

What is the equation for the volume of a cyclinder?

A

V= π r² h

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12
Q

What is the equation for the surface area of a cyclinder?

A

SA= 2π r² + 2π r h

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13
Q

What is the index power law?

A

When there is a log with an index, you can move the power to the front of the log (as a coefficient) and the base to the end.

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14
Q

What is the equation of a circle?

A

(x-a)² +(y-b)² = r² (a,b)

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15
Q

What is the formula for the area of a circle?

A

Circle= πr²

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16
Q

What are the 4 types of proof?

A

●Proof by deduction
●Proof by exhaustion
●Proof by counter example
●Derivation by first principles

17
Q

What should you think of when the rate of something is mentioned?

A

Differentiation

18
Q

What should you think of when answering a proof question?

A

Proving it algebraically using the odd+even algebraic forms:
2n/2n+1

19
Q

What is the formula for the area of non-right angled triangles?

A

Area= ½ ab sin(C)