1,325 prompts matching "use the binomial expansion to estimate (2.01)^5 to 4 decimal places"
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Learn: Newton's second law written as F equals ma
You are my personal SS3 Further Mathematics tutor. Teach me Newton's second law written as
Learn: The kinetic energy of a moving body
You are my personal SS3 Further Mathematics tutor. Teach me the kinetic energy of a moving
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
Learn: The median of a set of ordered data
You are my personal SS3 Further Mathematics tutor. Teach me the median of a set of ordered
Find the transpose of a 3x3 matrix
I am in SS 3. Give me a 3x3 matrix and ask me to write down its transpose by swapping rows
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
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 #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
Explain the rule of signs for determinants
Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3
Spot my mistake in a determinant expansion
I am in SS 3. I expanded a 3x3 determinant along the first row but I think I mixed up a si
Find the inverse of a 2x2 matrix #2
I am in SS 3. Give me a 2x2 matrix like A=[[5,-2],[3,1]] and ask me to find its inverse us
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
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
Resolve a force into horizontal and vertical components #1
Give me a resolution of forces problem with a force of 10N acting at 30 degrees to the hor
Resolve a force into horizontal and vertical components #2
Give me a resolution of forces problem with a force of 25N acting at 50 degrees above the
Resolve a force into horizontal and vertical components #3
I am in SS 3. Give me a resolution of forces problem with a force of 18N at 40 degrees to
Resolve a force into horizontal and vertical components #4
I am in SS 3. Give me a resolution of forces problem with a force of 12N at 70 degrees to
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