Equivalent Equations
Two equations are equivalent equations when they have the same solution set: every number that works in one works in the other, and no extra roots sneak in.…
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Two equations are equivalent equations when they have the same solution set: every number that works in one works in the other, and no extra roots sneak in.…
Lymphatic System: The lymphatic system is a complex network of lymphatic vessels, lymph nodes, and lymphoid organs (tonsils, spleen, thymus) that: 1.…
Osmoregulation: The maintenance of constant osmotic conditions (water and solute concentration) in the body is called osmoregulation. Osmoconformers:…
Cooling Curve: A cooling curve is a graph that shows the change in temperature of a substance as it is cooled over time. It consists of distinct regions…
A sequence is a list a1, a2, a3, ... with a rule for the nth term a_n. Finite: stops. Infinite: goes on. A series is the sum a1+a2+... (adding the terms).…
The main idea is that any redox reaction can be split into two parts: an oxidation half-reaction (where electrons are lost) and a reduction…
Internet of Things (IoT) is a network of physical devices, appliances, machines, and other objects that are embedded with sensors, software, and network…
Stable Equilibrium is a state in which a body, when slightly tilted or displaced and then released, returns to its original position. Key Condition: In…
Polynomial divide (or synthetic) by x-c. Quadratic formula or inspect the quadratic. Three linear factors if all roots real. Irreducible quadratic may stay.
Start from m = rise/run = y - y1x - x1 and cross multiply to get y - y1 = m(x - x1). That is point-slope: the line through (x1, y1) with gradient m.…
A median joins a vertex to the midpoint of the opposite side. The three medians are concurrent at the centroid. The centroid divides each median in the ratio…
The Big Bang model describes the universe as having evolved from an extremely hot, dense early state and subsequently expanding and cooling.
Structural Formula: A structural formula shows how different atoms are joined up or arranged in a molecule or compound. Displayed Formula: A displayed…
Applications of Biochemistry: The practical uses of biochemistry in medicine, nutrition, and agriculture. In simple words: Biochemistry is used in…
Zoonotic disease (zoonosis): An infectious disease that is directly transmitted from animal to humans, such as rabies and bird flu.
Cosmology is the scientific study of the origin, structure, evolution and large-scale behavior of the universe.
Many software development models are available in the market. Each has its own advantages and disadvantages. The book discusses the following two common…
A polynomial in x is a_n x^n + ... + a1 x + a0 with real (or complex) coefficients, n a whole number. Degree is the highest power with a non-zero coefficient.…
Stoichiometry: The calculation of quantities of reactants and products involved in a chemical reaction using a balanced chemical equation. Mole Ratio:…
The Magnus effect is the sideways deflection of a spinning object moving through a fluid, caused by different flow speeds and pressures on opposite sides.
P(n): sum = n(n+1)/2. IH: k(k+1)/2. Add k+1: [k(k+1)+2(k+1)]/2 = (k+1)k+22. That is P(k+1).
Systematic bias shifts every reading the same way, too high or too low. Averaging will not fix it. You must find the fault (wrong zero, wrong method) and…
A charge q in an electric field E⃗ experiences force F⃗=qE⃗ and, if free, acceleration a⃗=qE⃗/m. A positive charge accelerates along the field while a negative…
Write them in the exam: KOH(aq) vs KOH(alc), heat. Tertiary can eliminate easily. Competing paths: yield of each not 100%. Hot ethanolic alkali favours…