1,025 prompts matching "How many terms of an arithmetic progression lie between two values"
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Worked example: solving simultaneous equations using matrices
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a pair of simu
Teach me adding and subtracting vectors
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Teach me the dot product of two vectors
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Worked example: finding the angle between two vectors
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Teach me mean, variance and standard deviation
Act as my SS2 Further Maths tutor. Teach me how to calculate the mean, variance and standa
Teach me measures of dispersion for grouped data
Act as my SS2 Further Maths tutor. Teach me how to estimate the mean and standard deviatio
Worked example: find the gradient of y = x^3 - 4x at the point where x = 2
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
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]]
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
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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 the unit vector in the direction of (6,8)
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Worked example: expand (x+2)^5 fully using the binomial theorem
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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: 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
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Real-life application of measures of dispersion
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where measur
Non-calculator paper: factorise and simplify a fraction
Set me a non-calculator Additional Maths style question where I must factorise both the nu
WAEC exam question: symmetric functions of roots
I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al