1,327 prompts matching "Real-life application of the condition for a line to be tangent to a curve"
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Complex number arithmetic practice #5
I am in SS 3. Give me a complex number problem where z1 = -2 + 3i and z2 = 1 + i, find z1
Solve a quadratic equation with complex roots #1
I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 + 4 = 0 for c
Solve a quadratic equation with complex roots #2
I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 - 2x + 5 = 0
Solve a quadratic equation with complex roots #3
I am in SS 3. Give me a quadratic equation problem where I need to solve 2x^2 + x + 3 = 0
Teach me complex numbers from scratch
I am in SS 3. Teach me what a complex number is and why i is defined as the square root of
Show all working: complex number equation question
I am in SS 3. Give me a Cambridge Additional Mathematics style question requiring me to so
WAEC past-question practice: complex numbers #2
I am in SS 3. Set me a WAEC-style question on finding the modulus and argument of a comple
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^
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
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
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
WAEC past-question practice: mechanics #1
I am in SS 3. Give me a WAEC Further Mathematics past-question on the equations of motion,
Explain-back: why matrix multiplication order matters
I am in SS 3. After I explain in my own words why AB does not always equal BA for matrices
Explain-back: normal distribution properties
I am in SS 3. Let me explain the properties of the normal distribution curve in my own wor
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