1,334 prompts matching "The decimal expansion of an irrational number, and why it never repeats"
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Show all working: the determinant of a three by three matrix
You are my SS3 Further Mathematics tutor. Teach me the determinant of a three by three mat
Find the resultant of two forces #1
I am in SS 3. Give me a problem with two forces of 8N and 6N acting at 60 degrees to each
Find the resultant of two forces #2
Give me a problem with two forces of 10N and 12N acting at 90 degrees and ask me to find t
Find the resultant of two forces #3
Give me a problem with two forces of 5N and 9N acting at 45 degrees and ask me to find the
Find the resultant of two forces #4
I am in SS 3. Give me a problem with two forces of 15N and 7N acting at 120 degrees and as
Find the resultant of two forces #5
I am in SS 3. Give me a problem with forces of 20N due east and 14N due north and ask me t
Find the resultant of several concurrent forces #1
Give me a problem with three coplanar forces of 5N, 7N and 9N acting at different angles a
Find the resultant of several concurrent forces #3
I am in SS 3. Give me a problem with three forces of 6N, 8N and 10N meeting at a single po
Explain the triangle of forces method
Explain how the triangle of forces method finds a resultant, and compare it with the paral
Explain standard deviation and the normal curve
I am in SS 3. Explain how standard deviation affects the spread of a normal distribution c
Solve a friction and forces of equilibrium problem #1
I am in SS 3. Give me a problem where a block of mass 5kg on a rough horizontal surface wi
Explain the difference between scalar and vector product
I am in SS 3. Explain clearly the difference between the dot (scalar) product and the cros
Modulus, argument and the Argand diagram #1
I am in SS 3. Give me a complex number problem where I must, for z = 3 + 4i, plot it on an
Modulus, argument and the Argand diagram #2
I am in SS 3. Give me a complex number problem where I must, for z = -2 + 2i, find the mod
Modulus, argument and the Argand diagram #3
I am in SS 3. Give me a complex number problem where I must, for z = 1 - i, express it in
Modulus, argument and the Argand diagram #4
I am in SS 3. Give me a complex number problem where I must, for z = -3 - 4i, find the mod
Explain the difference between differentiation and integration
I am in SS 3. Explain in simple terms how differentiation and integration are opposite pro
Explain time of flight and range in projectile motion
I am in SS 3. Explain how to derive the formulas for time of flight and horizontal range o
Worked example: projectile range and time of flight
I am in SS 3. Show me a fully worked projectile motion example finding both the time of fl
Spot My Mistake: De Morgan's law that the complement of a union is the intersection of the complements
Act as my SS3 Further Mathematics tutor. Work a question on de Morgan's law that the compl