Not Linear
cos(A-B) != cos A - cos B. sin(A+B) != sin A + sin B. Those are the most common slips. Keep the mixed products.
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cos(A-B) != cos A - cos B. sin(A+B) != sin A + sin B. Those are the most common slips. Keep the mixed products.
For a cubic x^3 + b x^2 + c x + d = 0 with roots p,q,r (monic): p+q+r = -b, pq+qr+rp = c, pqr = -d. For ax^3+... divide through by a first, or use the general…
A combination is a selection (order does not matter). nCr = n! / (r! (n-r)!) = nPr / r!. nC0 = 1, nCn = 1, nC1 = n. nCr = nC(n-r) (choosing r to take is…
Typical tasks: class 1/2/3; basicity vs NH3 vs phenylamine; haloalkane + excess NH3; HNO2 bubbles for 1 aliphatic; amide vs amine; nylon as polyamide. No drug…
Electric current is the rate of flow of charge through a cross-section.
Security Methods are techniques and technologies used to protect systems and data from unauthorized access, including Two-Factor Authentication (2FA) and…
Electronegativity: The power of a covalently bonded atom to attract the shared pair of electrons towards itself in a molecule.
Electrical safety uses insulation, earthing and automatic interruption of excessive current to reduce shock, fire and equipment damage.
Arrhenius Equation: An equation that describes the effect of temperature on the rate constant of a reaction. k = A e-Ea / RT Where: - k =…
Cloud Computing is an IT infrastructure that provides data storage, databases, servers, networking, and application software services over the Internet.
Work is said to be done when a force displaces a body in its own direction. Mathematically, work done (W) is the product of the force (F) and the…
Food chains show one energy pathway; food webs connect many pathways. Arrows point from food to consumer, showing transfer of energy and matter.
A pH titration curve is a graphical representation of the change in pH of a solution as a titrant (acid or base) is added. The curve plots pH on the y-axis…
Information Privacy: Keeping personal information safe and not letting unauthorized people access it is called information privacy. System Security:…
Safe and Responsible Use of Computer: An essential component of our contemporary digital world is the safe and ethical use of computers. Computers now play…
A list in Python is a collection of items stored in a single variable, where each item has a specific position called an index. In simple words, a list…
Range = max - min (crude spread). Variance is the average of squared deviations from the mean (spread around the mean). Standard deviation is the positive…
S is the semi-perimeter, not the perimeter. Missing the square root is a common error. r = Delta/S, so Delta = r S.
Mode: The mode is the value in a dataset that appears maximum number of times. · A dataset may have one mode (unimodal), more than one mode (bimodal or…
A zero derivative, poor start, or jump outside the useful region can fail; bracket or restart when needed.
Phagocyte: A phagocyte is a cell that destroys other abnormal body cells (cancerous cells) or invaded microorganisms by engulfing. This process is called…
In a solid, particles vibrate about fixed mean positions in an ordered pattern, so the solid has a fixed shape and volume. In a liquid, particles stay close…
Slope of s-t is velocity; slope of v-t is acceleration; area under v-t is displacement.
The Cosmic Microwave Background (CMB) is relic electromagnetic radiation from the early universe observed today mainly at microwave wavelengths.