1,045 prompts matching "Restricting the domain so an inverse exists"
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Simplify the surd expression (2+sqrt5)^2
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Worked example: find the gradient of y = x^3 - 4x at the point where x = 2
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Worked example: differentiate y = (2x-1)(x+3) after expanding it first
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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
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Worked example: find the magnitude of the vector (3,4)
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Worked example: find a+b where a=(2,-1) and b=(-3,5)
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Worked example: find the unit vector in the direction of (6,8)
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Worked example: find 2a-3b where a=(4,1) and b=(-2,3)
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Worked example: how many ways can 5 books be arranged on a shelf
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Worked example: how many ways can a president and secretary be chosen from 8 people
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Worked example: how many ways can a committee of 4 be chosen from 10 people
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Worked example: in how many ways can 6 people be seated around a circular table
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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Real-life application of completing the square
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Real-life application of the quadratic formula
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Real-life application of the remainder theorem
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Real-life application of the binomial theorem
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the bi