What to memorise for FP1 Exam

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  • Created by: EmmBlr
  • Created on: 12-06-17 11:09
What happens when you multiply or divide an inequality by a negative number?
You must also reverse the inequality sign
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What must you consider when solving inequalities?
The Critical Values - on a number line would be best
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To solve an inequality involving a rational function, what is the appropriate way to express it?
Simplified/Factorised with 0 on the Right Hand Side
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When solving inequalities with a rational expression, where are the critical values found?
The Numerator and the Denominator
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What are the two methods of solving inequalities involving a rational expression?
1. Mulitply throughout by the square of the denominator 2. Combining all fractions into one term on one side
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Matrices: What is the determinate?
|A| = ad - bc. and A^-1 = 1/|A| x (refer to flash cards for correct matrix)
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Matrices: Stretch in x
k, 0, 0, 1
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Matrices: Stretch in y
1, 0, 0, k
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Matrices: Two-way stretch
a, 0, 0, b
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Matrices: Enlargement
k, 0, 0, k
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Matrices: ABC
C first, then B, the A: A x B x C
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Draw the two triangles you need to remember
Refer to flash cards for answer
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General Solutions: Sine
360n + x1 360n + x2
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General Solutions: Cosine
360n + or - x1
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General Solutions: Tangent
180n + or - x1
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Calculus: What is the solution for the Gradient of a chord?
Gradient of chord = dy/dx = (f(x + h) - f(x))/h, let h tend to 0. Refer to flash cards
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What is the Bisection method?
f((a + b)/2)
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What is the Newton-Raphson iterative formula?
x(n + 1) = x(n) - f(x(n)) / f'(x(n))
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Euler's Method: What are the equations?
x(n + 1) = x(n) + h and y(n + 1) = y(n) +hf(x(n))
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Euler's Method: What are the headings for the table and draw it
n, x(n), y(n), f(x(n)), h, hf(x(n))
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Other cards in this set

Card 2

Front

What must you consider when solving inequalities?

Back

The Critical Values - on a number line would be best

Card 3

Front

To solve an inequality involving a rational function, what is the appropriate way to express it?

Back

Preview of the front of card 3

Card 4

Front

When solving inequalities with a rational expression, where are the critical values found?

Back

Preview of the front of card 4

Card 5

Front

What are the two methods of solving inequalities involving a rational expression?

Back

Preview of the front of card 5
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