1,308 prompts matching "Proving a logarithmic identity from the laws"
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Give me a past-paper style question bank for permutations and combinations
I am in SS 3. Give me a bank of four exam-style questions on permutations and combinations
Give me a past-paper style question bank for differentiation basics
I am in SS 3. Give me a bank of four exam-style questions on differentiation and stationar
Diagnose my weak topics using a short quiz
I am in SS 3. Give me one short question from each major topic covered so far in Further M
Structured question: polynomial with a given remainder pattern
I am in SS 3. Give me a structured polynomial question where a cubic leaves stated remaind
Structured question: solving a trig equation involving a double angle
I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co
Practice: A 2 by 2 matrix multiplied by a column vector
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a 2 by 2 matri
Quiz: Multiplying a matrix by minus one
Act as my SS3 Further Mathematics tutor and quiz me on multiplying a matrix by minus one.
Quiz: Solving AX equals B and XA equals B by different routes
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Practice: A diagonal matrix
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Practice: Evaluating AB minus BA
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Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts
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Practice: Why a 2 by 2 matrix with determinant nought cannot be inverted
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Quiz: Checking a 3 by 3 inverse by multiplication
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Practice: Resolving three forces in two perpendicular directions
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Practice: Using a binomial expansion to approximate a number
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Quiz: Writing a two-dimensional vector as a column
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Practice: A vector of stated magnitude in a given direction
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Practice: Equating real and imaginary parts to find two unknowns
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Quiz: Writing a complex number in polar form
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Practice: Why complex roots of a real quadratic come in conjugate pairs
Act as my SS3 Further Mathematics tutor. Give me five practice questions on why complex ro