1,332 prompts matching "Roots equal in magnitude but opposite in sign"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Explain why a complex number times its conjugate is real
I have just studied why a complex number times its conjugate is real in my SS3 Further Mat
Integration practice question #1
I am in SS 3. Give me an integration problem where I must find the integral of 4x^3 - 6x +
Integration practice question #2
I am in SS 3. Give me an integration problem where I must find the integral of (2x+3)^4 wi
Integration practice question #3
I am in SS 3. Give me an integration problem where I must find the definite integral of x^
Integration practice question #4
I am in SS 3. Give me an integration problem where I must find the area under the curve y
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
Find and classify stationary points #2
I am in SS 3. Give me a calculus problem where y = 2x^3 - 15x^2 + 24x, find the stationary
Find and classify stationary points #3
I am in SS 3. Give me a calculus problem where a curve y = x^2 - 4x + 7, find the minimum
Teach me the chain rule with an example
I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o
Show all working: differentiation and stationary points question
I am in SS 3. Give me a Cambridge Additional Mathematics style question requiring differen
Explain finding area under a curve using integration
I am in SS 3. Explain how definite integration gives the area under a curve between two li
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,
Explain the difference between speed and velocity in mechanics
I am in SS 3. Explain the difference between speed and velocity, and between distance and
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
Show all working: the range and the greatest height of a projectile
I am in SS 3. Give me a Cambridge Additional Mathematics style the range and the greatest
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