1,326 prompts matching "Why the index laws need the bases to match"
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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,
Projectile motion problem #1
I am in SS 3. Give me a projectile motion problem where a ball is projected at 20 m/s at 3
Projectile motion problem #2
I am in SS 3. Give me a projectile motion problem where a projectile is launched at 25 m/s
Projectile motion problem #3
I am in SS 3. Give me a projectile motion problem where a stone is thrown at 18 m/s at 60
Projectile motion problem #4
I am in SS 3. Give me a projectile motion problem where a ball is projected horizontally a
Spot my mistake in a projectile motion question
I am in SS 3. I split an initial velocity into horizontal and vertical components for a pr
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
WAEC past-question practice: mechanics #4
I am in SS 3. Test me with a timed WAEC-style mechanics question, give it to me cold, then
Practice under WAEC exam conditions
I am in SS 3. Give me a WAEC Further Mathematics style question, tell me to solve it under
Explain-back: what a matrix inverse actually does
I am in SS 3. Let me explain in my own words what finding a matrix inverse allows you to d
Explain-back: resultant versus resolution of forces
I am in SS 3. Let me explain the difference between finding a resultant force and resolvin
Explain-back: complex conjugates
I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di
Explain-back: equilibrium of a rigid body
I am in SS 3. Let me explain what conditions must hold for a rigid body to be in equilibri
Worked example: 3x3 matrix multiplication
I am in SS 3. Show me one fully worked example of multiplying two 3x3 matrices with every
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
Worked example: resultant of two forces
I am in SS 3. Show me one fully worked example finding the resultant of two forces at an a
Worked example: binomial distribution problem
I am in SS 3. Show me one fully worked binomial probability example step by step, then giv
Worked example: projectile range and time of flight
I am in SS 3. Show me a fully worked projectile motion example finding both the time of fl
Spot my mistake solving a moments problem
I am in SS 3. I set up a moments equation about a pivot but I think I forgot to use a perp
Quiz me: calculus differentiation rules
I am in SS 3. Quiz me with three short differentiation questions, one needing the product