Find f(x) if y = f(x) satisfies dy 135y214 dx and the y-intercept of the curve y = f(x) is 4. f(æ)

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A: The given equation,

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A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: hello! can you help me with this calculus problem?

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A: we can solve by this implicit differentiation, so,

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A: As per guidelines we can solve only one question at a time so if you need more answers kindly repost…

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A: use differentiation for finding the equation of tangent line.

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A: Given y=f(x), dydx=3x2-12y⇒y dy=12(3x2-1)dx⇒∫ y dy=12∫(3x2-1)dx+C⇒y22=123x33-x+C⇒y=x3-x+C Now, to…

Q: Suppose y = V2x + 1, where x and y are functions of t. (a) If dx/dt = 9, find dy/dt when x = 4. dy…

A: we will diferenciate the equation of y with respect to t, and solve this.

Q: Q1: Use Green's theorem to evalute S. (xy + y2)dx + x²dy by the curve y y = x2.

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Q: Find the particular anti derivative that Satisfies the following conditions dy 4x +3 ; y(1) = 8 dx…

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