1,045 prompts matching "The vector equation of a line through a point in a given direction"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Spot my mistake finding a vector's magnitude
Act as my SS2 Further Maths tutor. I calculated the magnitude of a vector but I think I ma
Solve the logarithmic equation log2(x) + log2(x-2) = 3
Act as my SS2 Further Maths tutor. Show me step by step how to solve log2(x) + log2(x-2) =
Solve the logarithmic equation log(x+1) - log(x-1) = 2
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Solve the logarithmic equation 2log(x) = log(x+6) + log(4)
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2log(x) = log(x+6) +
Solve the logarithmic equation log3(x^2) - log3(x+2) = 1
Act as my SS2 Further Maths tutor. Show me step by step how to solve log3(x^2) - log3(x+2)
Solve the logarithmic equation log5(x+3) + log5(2) = 2
Act as my SS2 Further Maths tutor. Show me step by step how to solve log5(x+3) + log5(2) =
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: 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
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Mark scheme walkthrough: factorising a trinomial
I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr
Structured question: complete the square then find the minimum
I am in SS 2. Give me a two-part structured question where I first complete the square for
Show all your working command word: simultaneous equations
I am in SS 2. Set me a linear-quadratic simultaneous equations question that instructs 'sh
Find k command word: line tangent to a curve
I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh
Prove command word: line does not intersect a curve
I am in SS 2. Give me a 'prove that' style question where I must show a given line never m
Worked Example: Substituting a, b and c into the quadratic formula correctly
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on substi
Show All Working: Choosing between factorising and the formula
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on choosing betwee
Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Worked Example: Substituting into the quadratic and tidying up
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Final Revision: Checking both solutions in both equations
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of c
Worked Example: The discriminant used as the test for intersection
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the di