1,301 prompts matching "Verifying an index law with numbers"
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Worked Example: The powers of i, and the cycle they follow
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the po
Practice: Equating real and imaginary parts to find two unknowns
Act as my SS3 Further Mathematics tutor. Give me five practice questions on equating real
Explain Back: Raising a complex number to a power by de Moivre's theorem
I have just studied raising a complex number to a power by de Moivre's theorem in my SS3 F
Explain Back: Forming a quadratic equation with given complex roots
I have just studied forming a quadratic equation with given complex roots in my SS3 Furthe
Practice: Differentiating sin x and cos x
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Explain Back: Differentiating tan x
I have just studied differentiating tan x in my SS3 Further Mathematics class. Let me expl
Explain Back: The constant of integration, and why it appears
I have just studied the constant of integration, and why it appears in my SS3 Further Math
Worked Example: The area between a curve and the x-axis
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Practice: The sign convention for displacement, velocity and acceleration
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Practice: The range of a projectile on level ground
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Worked Example: Finding the first term and the common difference from two given terms
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Explain Back: Partial fractions with a repeated linear factor
I have just studied partial fractions with a repeated linear factor in my SS3 Further Math
Practice: The rank correlation coefficient
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Explain Back: The line of best fit, and the regression line
I have just studied the line of best fit, and the regression line in my SS3 Further Mathem
Explain pre-multiplication and post-multiplication
I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and
Spot my mistake in a matrix transpose
I am in SS 3. I found the transpose of A=[[1,2,3],[4,5,6]] as [[1,4],[2,5],[3,6]] — please
Evaluate a 2x2 determinant #2
I am in SS 3. Give me a 2x2 matrix like A=[[7,-2],[3,1]] and ask me to evaluate its determ
Evaluate a 2x2 determinant #3
Give me a 2x2 matrix like A=[[6,4],[-1,5]] and ask me to evaluate its determinant using ad
Evaluate a 2x2 determinant #4
Give me a 2x2 matrix like A=[[-3,2],[4,-5]] and ask me to evaluate its determinant using a
Evaluate a 2x2 determinant #6
I am in SS 3. Give me a 2x2 matrix like A=[[0,-4],[6,2]] and ask me to evaluate its determ