🗊Презентация Differential and integral calculus

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Differential and integral calculus, слайд №1Differential and integral calculus, слайд №2Differential and integral calculus, слайд №3Differential and integral calculus, слайд №4Differential and integral calculus, слайд №5Differential and integral calculus, слайд №6Differential and integral calculus, слайд №7Differential and integral calculus, слайд №8Differential and integral calculus, слайд №9Differential and integral calculus, слайд №10Differential and integral calculus, слайд №11Differential and integral calculus, слайд №12Differential and integral calculus, слайд №13Differential and integral calculus, слайд №14Differential and integral calculus, слайд №15
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Differential and integral calculus, слайд №1
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Differential and integral calculus, слайд №2
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Differential and integral calculus, слайд №3
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Differential and integral calculus, слайд №4
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Permutation Permutations - compounds that can be composed of n items, changing in every way possible their order; their number
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Permutation Permutations - compounds that can be composed of n items, changing in every way possible their order; their number

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n - faktorial- it is the product of all natural numbers from unity and n, denoted by the symbol !
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n - faktorial- it is the product of all natural numbers from unity and n, denoted by the symbol !

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How many ways can sit four musicians? A task
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How many ways can sit four musicians? A task

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Solution
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Solution

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Arrangements Arrangements - compounds containing m items out of n data, different subjects or the order or the objects themselves?; their number
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Arrangements Arrangements - compounds containing m items out of n data, different subjects or the order or the objects themselves?; their number

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The M11 group enrolled 24 students. How many ways can a timetable duty if the duty team consists of three students?
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The M11 group enrolled 24 students. How many ways can a timetable duty if the duty team consists of three students?

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Solution Answer: The number of ways is equal to the number of placements of 24 to 3, that is, 12144 method.
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Solution Answer: The number of ways is equal to the number of placements of 24 to 3, that is, 12144 method.

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Combinations Combinations - compounds containing items of m n, differing from each other, at least one subject; their number
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Combinations Combinations - compounds containing items of m n, differing from each other, at least one subject; their number

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A task The students were given a list of 10 books, that are recommended to be used to prepare for the exam. In how many ways a student can choose from these 3 books?
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A task The students were given a list of 10 books, that are recommended to be used to prepare for the exam. In how many ways a student can choose from these 3 books?

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Solution Answer: The number of ways is the number of combinations of 10 to 3, . 120 methods.
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Solution Answer: The number of ways is the number of combinations of 10 to 3, . 120 methods.

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Newton binomial formula For example, if we actually multiplied out the 4th power of (a + b) -- (a + b)4 = (a + b)(a + b)(a + b)(a + b) -- then on collecting like terms we would find: (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4 .   .  .  .  .  (1)
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Newton binomial formula For example, if we actually multiplied out the 4th power of (a + b) -- (a + b)4 = (a + b)(a + b)(a + b)(a + b) -- then on collecting like terms we would find: (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4 .   .  .  .  .  (1)

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