1,278 prompts matching "Find sum and product of roots of x^2 - 8x + 15 = 0"
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Solve a Poisson distribution problem #3
I am in SS 3. Give me a Poisson distribution problem where the mean rate of 5 calls per mi
Solve a Poisson distribution problem #4
I am in SS 3. Give me a Poisson distribution problem where the mean rate of 2.5 accidents
WAEC past-question practice: vectors #2
I am in SS 3. Set me a WAEC-style question on the scalar product of two vectors and the an
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
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
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
Differentiation practice question #2
I am in SS 3. Give me a differentiation problem where y = (2x+1)(x-3), find dy/dx using th
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^
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 #4
I am in SS 3. Give me a projectile motion problem where a ball is projected horizontally a
Simplifying an expression before solving an equation
I am in SS 3. Quiz me with 3 short Additional Maths questions on why it is often worth ful
Evaluating a function at a given value
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Evaluating a function at a negative value
I am in SS 3. Teach me evaluating a function at a negative input value, such as finding f(
Testing whether a relation is a function
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on test
Composite functions fg(x)
I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f
Composite functions gf(x)
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Showing that fg(x) is not the same as gf(x)
I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec
Composite function leading to solving an equation
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on a qu