1,333 prompts matching "expand (1-x)^4 fully and use it to estimate (0.98)^4"
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Solve 2sin(x) + 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the trigonometric equation 2sin(x)+1=0 to solve for all values of x
Give me an exam formula sheet for quadratic inequalities
I am in SS 3. Build me a short formula sheet covering every formula I need for solving qua
Give me an exam formula sheet for logarithms
I am in SS 3. Build me a short formula sheet covering every formula I need for the laws of
Worked example: find where the tangent to y = x^3 crosses the x-axis
I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a
Worked example: seat 4 boys and 3 girls alternately in a row
I am in SS 3. Show me a full worked example finding the number of ways to seat 4 boys and
Structured question: composite function domain restriction
I am in SS 3. Give me a structured question where the composite function fg(x) is undefine
Structured question: trig equation with a coefficient inside the angle
I am in SS 3. Give me a structured trigonometric equation question where the angle inside
Structured question: stationary point on a curve with an unknown constant
I am in SS 3. Give me a structured differentiation question where a curve contains an unkn
Structured question: quadratic formula question with a negative discriminant
I am in SS 3. Give me a quadratic formula question where the discriminant turns out negati
Explain back: why we check the domain in logarithmic equations
I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain
Give me a mixed revision pack blending three topics
I am in SS 3. Give me a short mixed revision pack of three linked questions that blend qua
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
WAEC Prep: The difference between pre-multiplying and post-multiplying by a matrix
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Practice: The sign pattern of the cofactors in a 3 by 3 determinant
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sign patte
Worked Example: The identity that A times its adjoint gives the determinant times the identity
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the id
WAEC Prep: Writing two simultaneous equations as a single matrix equation
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
WAEC Prep: Writing three simultaneous equations as a single matrix equation
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Worked Example: Checking the solution of three equations by substitution
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on checki
WAEC Prep: The magnitude of the resultant of two forces inclined at an angle
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Practice: Choosing the most convenient pair of directions to resolve along
Act as my SS3 Further Mathematics tutor. Give me five practice questions on choosing the m