1,045 prompts matching "The angle at which a body just begins to slide"
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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve cos^2(x) - sin^2(x) =
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: 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 equation of a circle with centre (2,-1) and radius 4
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Worked example: find the magnitude of the vector (3,4)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: find the unit vector in the direction of (6,8)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
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: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Real-life application of completing the square
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where comple
Real-life application of the quadratic formula
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the qu
Real-life application of the remainder theorem
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the re
Real-life application of probability using combinatorics
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where probab
Real-life application of the binomial theorem
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the bi
Real-life application of vectors
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where vector
Real-life application of testing the validity of an argument
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where testin
Give me a 5-minute recap of the quadratic formula
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the quadratic formula
Give me a 5-minute recap of the factor theorem
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the factor theorem, c
Non-calculator paper: factorise and simplify a fraction
Set me a non-calculator Additional Maths style question where I must factorise both the nu