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Answer 1 The principle of conservation of momentum states that in a closed system, the total momentum before and after a collision remains constant. This applies to both elastic and inelastic collisions, where the sum of the momenta of the colliding...
Answer 1 To prove the double angle identities using the unit circle, consider an angle θ on the unit circle. The coordinates of the point where the terminal side of θ intersects the unit circle are (cos(θ), sin(θ)). Using angle addition formulas, we...
Answer 1 The South China Sea is a critical maritime region due to its strategic location and significant economic value. Disputed territories here have major geopolitical implications, affecting international shipping and trade routes. Tensions among...
Answer 1 MANOVA assumptions include multivariate normality, homogeneity of variance-covariance matrices, linearity, and absence of multicollinearity. Violations can lead to inaccurate F-tests, increased Type I or Type II errors, and invalid...
Answer 1 In Calculus, a derivative represents the rate of change of a function with respect to a variable, essentially measuring how a function changes as its input changes. An integral, on the other hand, represents the accumulation of quantities,...
Answer 1 The periodic table is a tabular arrangement of chemical elements, ordered by their atomic number, electron configuration, and recurring chemical properties. Elements are given symbols based on their Latin or English names, typically...