1,045 prompts matching "An indicial equation with the unknown in the exponent on both sides"
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Worked example: expanding (2x-3)^5 using the binomial formula
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Worked example: finding the middle term of a binomial expansion
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Teach me changing the base of a logarithm
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Worked example: finding the angle between two vectors
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Summarise polynomials and the remainder/factor theorems for quick revision
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Test me under exam conditions on polynomials and the remainder/factor theorems
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Give me common mistakes students make in polynomials and the remainder/factor theorems
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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360
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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360
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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, 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 stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
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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 midpoint of the segment joining (-3,5) and (7,-1)
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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 modulus and argument of 3+4i
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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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