1,045 prompts matching "Teach me the chain rule with an example"
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Worked example: finding a term in an arithmetic progression
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Worked example: finding the angle between two vectors
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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360
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Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference
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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio
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Worked example: find the equation of the line through (2,3) and (5,9)
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Worked example: find the distance between the points (1,2) and (4,6)
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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0
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Worked example: find the determinant of [[5,2],[3,4]]
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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
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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: 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: construct the truth table for (p AND q) OR (NOT p)
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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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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: 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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