1,334 prompts matching "Teach me writing the sum and product of the roots from the coefficients"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve a 3x3 simultaneous equation system with Cramer's rule #3
Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh
Define mass, force and weight with correct units
I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl
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
Show all working: resultant of forces question
I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question asking f
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
Spot my mistake taking moments about a pivot
I am in SS 3. I calculated the moment of a force about a pivot but I think I used the wron
Quiz me on equilibrium conditions
I am in SS 3. Quiz me with two short problems testing whether a set of forces is in equili
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
Show all working: vector geometry question
I am in SS 3. Give me a Cambridge Additional Mathematics style vector question involving p
Complex number arithmetic practice #4
I am in SS 3. Give me a complex number problem where z = 3 - 4i, find the conjugate and th
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
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