1,331 prompts matching "Structured question: find f^-1(x) and verify it"
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Explain Back: The dot product of two perpendicular vectors
I have just studied the dot product of two perpendicular vectors in my SS3 Further Mathema
Practice: Deciding whether a point lies on a given line
Act as my SS3 Further Mathematics tutor. Give me five practice questions on deciding wheth
Explain Back: The resultant of forces given as vectors
I have just studied the resultant of forces given as vectors in my SS3 Further Mathematics
Practice: The argument of a complex number in the second or third quadrant
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the argument o
Explain Back: The locus of a complex number at a fixed distance from a point
I have just studied the locus of a complex number at a fixed distance from a point in my S
Practice: Converting a complex number from polar form back to a plus bi
Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting a c
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
Practice: Why complex roots of a real quadratic come in conjugate pairs
Act as my SS3 Further Mathematics tutor. Give me five practice questions on why complex ro
Practice: Differentiating x squared from first principles
Act as my SS3 Further Mathematics tutor. Give me five practice questions on differentiatin
Explain Back: Differentiating one over x from first principles
I have just studied differentiating one over x from first principles in my SS3 Further Mat
Explain Back: Differentiating tan x
I have just studied differentiating tan x in my SS3 Further Mathematics class. Let me expl
Practice: A body thrown vertically upwards
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a body thrown
Explain Back: The greatest height reached by a body thrown upwards
I have just studied the greatest height reached by a body thrown upwards in my SS3 Further
Practice: The range of a projectile on level ground
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the range of a
Practice: The conservation of momentum in a collision
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the conservati
Explain Back: The sum of the first n terms of a geometric progression
I have just studied the sum of the first n terms of a geometric progression in my SS3 Furt
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
Practice: The rank correlation coefficient
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the rank corre
Add two matrices, 2x2 #3
I am in SS 3. Give me a matrix problem where A=[[6,2],[-3,1]], B=[[1,4],[2,-5]] and I have
Add two matrices, 2x2 #7
I am in SS 3. Give me a matrix problem where A=[[7,-3],[2,5]], B=[[-1,4],[3,0]] and I have