1,334 prompts matching "Learn: The formula for the general term of an expansion"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
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
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 #2
Set me a scalar multiplication question like A=[[-2,3],[1,0]], k=-3, let me attempt multip
Scalar multiplication of a matrix #3
Set me a scalar multiplication question like A=[[1,2,-1],[0,3,2],[4,1,0]], k=2, let me att
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
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
Explain the identity matrix
Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA
Explain the zero matrix in matrix algebra
I am in SS 3. Explain the zero matrix and its effect in addition, using a 2x2 example to s
Solve simultaneous equations with Cramer's rule (order 2) #2
I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien
Solve a 3x3 system using the inverse matrix method #2
I am in SS 3. Show me how to solve the system 2x+y-z=5, x-y+2z=1, 3x+2y+z=10 by writing it
Spot my mistake resolving a force
I am in SS 3. I resolved a 20N force acting at 35 degrees to the horizontal into component
Use the normal distribution function to find a probability #4
I am in SS 3. Give me a normal distribution problem where mean 70 and standard deviation 1
Show all working: moments and equilibrium question
I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question combinin
Vector addition, subtraction and magnitude #3
I am in SS 3. Give me a vector problem where a = 5i - j, find the magnitude of a. Let me a
Vector addition, subtraction and magnitude #4
I am in SS 3. Give me a vector problem where a = 2i + 3j - 6k, find the magnitude of a. Le
Vector addition, subtraction and magnitude #5
I am in SS 3. Give me a vector problem where a = 4i - 3j, find a unit vector in the direct
Position vectors and displacement between points #3
I am in SS 3. Give me a vectors problem where I have position vectors of P and Q, find the
Explain parallel and perpendicular vectors
I am in SS 3. Explain how to test whether two vectors are parallel or perpendicular using
Find and classify stationary points #1
I am in SS 3. Give me a calculus problem where y = x^3 - 3x^2 - 9x + 5, find and classify