1,045 prompts matching "Differentiate y = 4x^3 - 6x^2 + 2x - 9 and evaluate the gradient at x=1"
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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
Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms
Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se
Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms
Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se
Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity
Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se
Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference
Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se
Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio
Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se
Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
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)
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Worked example: find the equation of a circle with centre (2,-1) and radius 4
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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 the angle between the vectors (1,2) and (3,-1) using the dot product
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
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: construct the truth table for (p AND q) OR (NOT p)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
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: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Express in the form command word: completing the square
Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+
Structured question: solve a quadratic inequality and state the range
I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve