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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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311 prompts matching "Testing whether star distributes over plus"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Find the moment of a force about a point #3

I am in SS 3. Give me a moments problem with a beam in equilibrium under three forces at d

Find the moment of a force about a point #4

I am in SS 3. Give me a moments problem with a see-saw problem with two people of differen

Solve a friction and forces of equilibrium problem #2

I am in SS 3. Give me a problem where a body on an inclined plane at 30 degrees with frict

Scalar (dot) and vector (cross) product practice #1

I am in SS 3. Give me a vector problem where a = 2i + 3j and b = 4i - j, find a . b and th

Scalar (dot) and vector (cross) product practice #2

I am in SS 3. Give me a vector problem where a = i - 2j + 3k and b = 2i + j - k, find a .

Scalar (dot) and vector (cross) product practice #3

I am in SS 3. Give me a vector problem where a = 3i - j + 2k and b = i + 2j - k, find a x

Scalar (dot) and vector (cross) product practice #4

I am in SS 3. Give me a vector problem where a = 2i + j and b = -i + 4j, find the angle be

Quiz me on unit vectors

I am in SS 3. Quiz me on finding unit vectors from given vectors in 2D and 3D, and check w

Explain parallel and perpendicular vectors

I am in SS 3. Explain how to test whether two vectors are parallel or perpendicular using

Explain why a complex number times its conjugate is real

I have just studied why a complex number times its conjugate is real in my SS3 Further Mat

Differentiation practice question #1

I am in SS 3. Give me a differentiation problem where y = x^3 - 4x^2 + 2x, find dy/dx. Let

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

Differentiation practice question #3

I am in SS 3. Give me a differentiation problem where y = (3x-2)/(x+1), find dy/dx using t

Differentiation practice question #4

I am in SS 3. Give me a differentiation problem where y = (2x-1)^5, find dy/dx using the c

Differentiation practice question #5

I am in SS 3. Give me a differentiation problem where y = sin(3x) + cos(2x), find dy/dx. L

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^

Integration practice question #4

I am in SS 3. Give me an integration problem where I must find the area under the curve y

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

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