1. Say what type the following differential equation is, and find its general solution: dy dx 4 tan(2x)y = sin(2x). Find the particular solution such that y = 1 when x = π/2. Sketch a graph of this solution and state its maximal domain of existence.

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A: We will draw the graph firstly and then find the given parts.

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A: Given statement: then we have to find the negation for the given statement.

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Q: 11) Given (representatives of vectors the Plane as shown, do it in 20. a) sketth the representative…

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Q: Let p:"x>4," q: "x = 12," r: " x < 12." Select the symbolic form of the following statement: "4 <x ≤…

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Q: Consider the following linear program: Max 1A + 2B 1A <5 1B < 5 2A + 2B = 12

A: The given LPP is

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Q: Question 1: Evaluate the following integrals: I2 = ∫∫D(x2 + ycos(πx))dA where D is the domain…

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Q: Theorem: Power Rule If y = f(x) = x”, where n is a real number, then the derivative is O f'(x) =…

A: If y=f(x)=xn, where n is a real number, it can find the derivative f′(x) using the power rule.…

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A: f(z)=(r+r1​)cosθ+i(r−r1​)sinθ   Explanation:

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A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

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Q: (b) Conclude that the sequence (an) is a decreasing sequence, where an = 1+ 1 2 +...+ 1 n In n.

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Q: Ratio of 3:5

A: Since  and  both are prime numbers, therefore, they are non-reducible. Therefore, ratio of  is

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Q: Let a₁, a2, a3, ... be the sequence defined recursively as follows. ak= 3ak-1 + 2 for each integer k…

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