1,325 prompts matching "Rationalising when both terms of the denominator are surds"
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Solve a 3x3 simultaneous equation system with Cramer's rule #1
I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y
Solve a 3x3 simultaneous equation system with Cramer's rule #2
I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2
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
WAEC past-question practice: inverse matrices #3
I am in SS 3. Give me a WAEC Further Mathematics exam-style multi-part question: (a) find
Solve a binomial probability problem #3
I am in SS 3. Give me a binomial distribution problem where n=6, p=0.25, find P(X=0), usin
Solve a binomial probability problem #5
I am in SS 3. Give me a binomial distribution problem where n=5, p=0.6, find the probabili
Solve a Poisson distribution problem #1
I am in SS 3. Give me a Poisson distribution problem where the mean rate of 4 per hour, fi
Solve a Poisson distribution problem #2
I am in SS 3. Give me a Poisson distribution problem where the mean rate of 3 defects per
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
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
Spot my mistake finding a vector magnitude
I am in SS 3. I calculated the magnitude of a 3D vector but I'm not confident I squared an
Explain parallel and perpendicular vectors
I am in SS 3. Explain how to test whether two vectors are parallel or perpendicular using
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
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^
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
Spot my mistake in a Cramer's rule solution
I am in SS 3. I solved a pair of simultaneous equations using Cramer's rule but I'm not su