1,332 prompts matching "A logarithmic equation written in two different bases"
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Solve simultaneous equations using an inverse matrix #2
I am in SS 3. Show me how to write 4x + y = 9 and 2x + 3y = 8 as a matrix equation, find t
Solve simultaneous equations using an inverse matrix #3
Show me how to write 3x - 2y = 4 and x + y = 6 as a matrix equation, find the inverse of t
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
Explain the difference between differentiation and integration
I am in SS 3. Explain in simple terms how differentiation and integration are opposite pro
Show all working: differentiation and stationary points question
I am in SS 3. Give me a Cambridge Additional Mathematics style question requiring differen
Kinematics: equations of motion practice #1
I am in SS 3. Give me a kinematics problem where a car accelerates from 5 m/s to 20 m/s in
Kinematics: equations of motion practice #2
I am in SS 3. Give me a kinematics problem where a ball is thrown vertically upward at 15
Kinematics: equations of motion practice #3
I am in SS 3. Give me a kinematics problem where a body starts from rest and accelerates a
Kinematics: equations of motion practice #4
I am in SS 3. Give me a kinematics problem where a train decelerates from 30 m/s to rest i
Kinematics: equations of motion practice #5
I am in SS 3. Give me a kinematics problem where a stone is dropped from a height of 45m,
Quiz me on kinematics equations of motion
I am in SS 3. Quiz me with a short kinematics word problem and check whether I selected th
Worked example: solving simultaneous equations with matrices
I am in SS 3. Show me one fully worked example of using the inverse matrix method to solve
Teach me how to find the writing the inverse of a two by two matrix with the adjugate
You are my SS3 Further Mathematics tutor. Teach me writing the inverse of a two by two mat
Teach me integration by recognising the reverse of differentiation
I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin
Worked Example: The intersection of two overlapping sets
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the in
Practice: The difference of two sets, A minus B
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the difference
Explain Back: The symmetric difference of two sets
I have just studied the symmetric difference of two sets in my SS3 Further Mathematics cla