A) Solve the given differential equation by separation of variables. B) Find a solution that satisfies the initial condition y(1) = 1.

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A: We have to find the critical points, monotone intervals and relative extremum.

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A: Disclaimer: Since you have posted multiple subparts for a question, we will solve first three sub…

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A: Follow the procedure given below.

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Q: If ` f(x) = x^4 + 7, g(x) = x - 1 and h(x) = \sqrt(x) `, then ` f(g(h(x))) `= __________________

A: If , f(x)= x4 +7 , g(x)= x-1 , and h(x)= √x  find , f(g(h(x)))

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A: We have to find derivative

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Q: F. (DERIVATIVES OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS) 1. Find f'(x) if f(x) = 3e². 2. Find g'(x)…

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A: The given function,   fx=2x+4 sinx

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A: Find critical points by putting derivative of f  equal to zero

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A: We have to choose correct option for all critical points.

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Q: 3) Determine whether or not the following 3D vector fields are conservative: a) (y²-z³)i + (2xy +…

A: As per the company rules we are supposed to answer only the first question and rest can be reposted.

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Q: Əw əx aw ду Əw əz rentiate implicitly to find the first x² + y² + z²-7yw + 10w² = 9 11 || partial…

A: We can solve this as follows:

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A: Follow the procedure given below.

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