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Yes. Trigonometric identities are extremely important when solving calculus equations, especially while integrating.
Because of how close the two are. The only difference between the two is that a complex number is any whole number along side of a fraction, while a real number is any positive number.
Units are probably what you should be most mindful of when solving numerical science problems. If the units are not implemented and cancel correctly, your answer will most likely be incorrect. Additionally, significant figures (a.k.a. sig. figs.) should be a priority if the problem you are solving requires it.
It will depend from person to person. Some prefer music while solving math problems, but some cant stand it while working.
Calculus is much harder than statistics, and don't really have anything in common other than algebraic process. Calculus is the study of rates, while statistics is probability.
Some people find calculus easier, others find physics easier. There is no general answer.
Calculus is a branch of mathematics. An omnibus is something comprising several items, while a cumulus is a type of cloud.
Archimedes was killed by the Romans while solving a math problem.
Yes, you must.
A better question would be "do graphs have to do with calculus?" The answer is yes, many concepts in calculus are best understood by looking at graphs. While most concepts in calculus can be taught and learned without graphs, using only numeric and algebraic (analytical) representations, graphs add a visual representation that helps students understand calculus concepts in more depth.
Archimetes
A conflict is developed when there is a difference of opinion between two or more people. Some conflicts can be settled easily while other problems may be more complex.