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20b(4b3)3
Solve in two different methods. (y−x+3)dx+(x+y+3)dy=0; x=1; y=4.
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Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X≤4)P(X≤4), n=7n=7, p=0.8
Find the value of 1sin2∘+2sin4∘+3sin6∘+…+90sin180∘
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How many permutations can be made from the word assassin?
Solve the system of equations x1−3x2+4x3=−4 3x1−7x2+7x3=−8 −4x1+6x2−x3=7
Good morning, sir. Can you help me solve this question in less than half an hour? Thank you very much
Discrete math: given an integer, there are no two integer x,y such that x > k / 2 and y > k / 2.I wanted to ask if the use of quantifier in this proof were correct:let k be a positive integer. Then ¬ ∃ x , y that are integer and such that x > k / 2 ∧ y > k / 2 and x + y = k.Proof by contradiction: suppose that two such integers x,y existed. Then x > k / 2 ∧ y > k / 2 implies that x + y > k / 2 + k / 2 but then x + y > k and so x + y = k would be false.Therefore, it is true that ¬ ∃ x , y such that x + y = k and x > k / 2 ∧ y > k / 2 and x + y = k.
Evaluate the following and express it in rectangular form.
a) 5(cos 180° + 𝑖 sin 180° ) × 6(cos −90° + 𝑖 sin −90° ).
b) 2 (cos 3𝜋 4 + 𝑖 sin 3𝜋 4 ) ÷ 6 (cos 𝜋 6 + 𝑖 sin 𝜋 6 )
c) (5𝑐𝑖𝑠 𝜋 4 ) 10 use may need to use De Moivre’s Theorem
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