1,331 prompts matching "Converting an answer back out of index form"
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Worked Example: Power as the rate of doing work
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on power
Learn: The kinetic energy of a moving body
You are my personal SS3 Further Mathematics tutor. Teach me the kinetic energy of a moving
Practice: The sum to infinity of a convergent geometric series
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Explain Back: Writing a recurring decimal as a geometric series
I have just studied writing a recurring decimal as a geometric series in my SS3 Further Ma
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
Spot My Mistake: Partial fractions with an irreducible quadratic factor
Act as my SS3 Further Mathematics tutor. Work a question on partial fractions with an irre
Quiz: The remainder theorem, and the remainder on dividing by x minus a
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Practice: Finding a remainder without carrying out the division
Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding a rema
Scalar multiplication of a matrix #4
I am in SS 3. Set me a scalar multiplication question like A=[[3,0],[-1,2]], k=5, let me a
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 #1
I am in SS 3. Give me a 2x2 matrix like A=[[3,5],[2,4]] and ask me to evaluate its determi
Evaluate a 2x2 determinant #5
I am in SS 3. Give me a 2x2 matrix like A=[[8,1],[2,3]] and ask me to evaluate its determi
Evaluate a 3x3 determinant by expansion #1
Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and ask me to evaluate its determina
Evaluate a 3x3 determinant by expansion #2
Give me a 3x3 matrix like A=[[2,0,-1],[3,1,2],[-1,4,0]] and ask me to evaluate its determi
Evaluate a 3x3 determinant by expansion #3
I am in SS 3. Give me a 3x3 matrix like A=[[1,-2,3],[4,0,1],[2,1,-3]] and ask me to evalua
Evaluate a 3x3 determinant by expansion #4
I am in SS 3. Give me a 3x3 matrix like A=[[3,1,2],[0,-1,4],[2,3,1]] and ask me to evaluat
Evaluate a 3x3 determinant by expansion #5
Give me a 3x3 matrix like A=[[5,-1,0],[2,3,1],[-2,0,4]] and ask me to evaluate its determi
Show all working: evaluate a 3x3 determinant
Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show
Solve simultaneous equations with Cramer's rule (order 2) #1
I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient
Solve a 3x3 simultaneous equation system with Cramer's rule #1
I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y