Cameroon Baccalauréat Série F2 - independent subject practice cheat sheet

Use the actual device reference, voltage, timing and ratings.

Ideal analog models need operating-region and rail checks.

Volatile does not establish atomicity or synchronization.

ADC resolution, reference and sampling assumptions must be explicit.

State whether addresses refer to bytes or words before calculating capacity.

Distinguish PC, instruction register, address register and data register.

For n-bit two’s complement the range is−2^(n−1) through 2^(n−1)−1.

Cache locality and pipeline hazards matter more than a clock-rate label alone.

For a sinusoid V_rms = V_peak/√2; the stated impedance magnitude is for a series RLC model.

Q_C = P(tan φ₁ − tan φ₂) for power-factor correction

Transformer: V₁/V₂ = N₁/N₂ = I₂/I₁

Induction motor: n = (1 − s)·60f/p

Thévenin voltage is open-circuit voltage; deactivate independent sources to obtain resistance while preserving dependent-source behavior.

Karnaugh: give the minimum sum of products

Sensitivity = Δoutput/Δinput; resolution = smallest detectable change

Closed-loop error compares reference and measurement; integral action can remove appropriate steady-state error only under suitable stability and operating assumptions.

PLC scan: read inputs → run program → update outputs

4–20 mA live zero: (I − 4)/16 of the span

Repeatability ≠ accuracy, resolution ≠ sensitivity

Robot DOF come from its joints; workspace is the reachable volume

State domain restrictions before simplifying; cancelled factors still exclude values.

Composition f(g(x)) is evaluated inside-out and is generally not commutative.

Inverses require one-to-one functions; domain and range swap.

Horizontal transformations act opposite to the sign or factor shown.

Log laws convert sums to products, enabling solution of log equations.

Always check candidate solutions against original domain restrictions.

Chain rule: never drop the inner derivative g'(x).

Integration by parts: choose u so du is simpler than u.

Change limits immediately when substituting in a definite integral.

Improper integrals require an explicit limit, not direct substitution.

Implicit differentiation collects dy/dx terms after differentiating both sides.

State the system boundary and assumptions before calculation.

Units, sign conventions and uncertainty are part of the answer.

Verification against a specification differs from validation for an intended use.

Drawings need a declared convention and controlled revision.

Classroom models do not authorize physical operation or structural approval.