1,045 prompts matching "An indicial equation with the unknown in the exponent on both sides"
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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI
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Worked example: expand (x+2)^5 fully using the binomial theorem
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Worked example: find the term in x^3 in the expansion of (2x-1)^6
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Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7
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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'
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Real-life application of testing the validity of an argument
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Real-life application of the condition for a line to be tangent to a curve
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Non-calculator completing the square with fractional coefficients
I am in SS 2. Set me a non-calculator completing the square question where the coefficient
Structured question: solve a quadratic inequality and state the range
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Find the range of values command word: quadratic inequality
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Show all your working command word: simultaneous equations
I am in SS 2. Set me a linear-quadratic simultaneous equations question that instructs 'sh
Explain Back: The zero product rule, and why it works
I have just studied the zero product rule, and why it works in my SS2 Further Mathematics
Worked Example: Halving the coefficient of x and squaring it
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Explain Back: An answer left in surd form after completing the square
I have just studied an answer left in surd form after completing the square in my SS2 Furt
Worked Example: Substituting a, b and c into the quadratic formula correctly
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Show All Working: Choosing between factorising and the formula
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Common Mistakes: A sign error in the formula, and how to catch it
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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