1,334 prompts matching "An answer left in surd form after completing the square"
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Structured question: logic puzzle solved with a truth table
I am in SS 3. Give me a short logic puzzle involving two or three statements about people
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
Worked Example: The associative law for the product of three matrices
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the as
Learn: The distributive law for a scalar over a sum of matrices
You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca
Practice: A diagonal matrix
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a diagonal mat
Practice: The condition on the orders for a product to exist
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the condition
Worked Example: The weight of a body as mass times g
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the we
Practice: The parallelogram law of forces
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the parallelog
Learn: The component of a force along a stated direction
You are my personal SS3 Further Mathematics tutor. Teach me the component of a force along
Worked Example: The total moment of three parallel forces about one end
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the to
Learn: The algebraic sum of moments when the senses differ
You are my personal SS3 Further Mathematics tutor. Teach me the algebraic sum of moments w
Practice: The probability of at least one success
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the probabilit
Learn: The probability that a normal variable lies between two values
You are my personal SS3 Further Mathematics tutor. Teach me the probability that a normal
Learn: The magnitude of a three-dimensional vector
You are my personal SS3 Further Mathematics tutor. Teach me the magnitude of a three-dimen
Practice: The magnitude of the sum of two vectors
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the magnitude
Learn: The cube roots of unity
You are my personal SS3 Further Mathematics tutor. Teach me the cube roots of unity, worki
Worked Example: The quotient rule for differentiation
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Practice: A body thrown vertically upwards
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a body thrown
Learn: Newton's second law written as F equals ma
You are my personal SS3 Further Mathematics tutor. Teach me Newton's second law written as
Practice: The middle term when the power is odd
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the middle ter