967 prompts matching "AP with 3rd term 11 and 8th term 31: find a and d"
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Give me common mistakes students make in polynomials and the remainder/factor theorems
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Give me common mistakes students make in permutations and combinations
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Give me common mistakes students make in trigonometric identities and equations
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Give me common mistakes students make in sequences and series
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Give me common mistakes students make in logarithms and indices
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Worked example: find the equation of the line through (2,3) and (5,9)
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
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
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find the determinant of [[5,2],[3,4]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find a+b where a=(2,-1) and b=(-3,5)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
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Worked example: find 2a-3b where a=(4,1) and b=(-2,3)
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Worked example: expand (x+2)^5 fully using the binomial theorem
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Worked example: find the term in x^3 in the expansion of (2x-1)^6
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
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