Solve the equation | +6 - 4. The solutions are 1 = and 2 = where ₁ ≤ x2. This means x₁ is the smaller answer and 2 is the larger answer.

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A: I have appended the formula used in the solution part of the question

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A: answer is in next step.  i can answer only one  question as per guideline thank you.

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A: Solved below.

Q: C

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A: We know, ∫xndx= xn+1/(n+1)

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A: A detailed solution is given below.

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A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.

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Q: find the derivative:  c(x)=(x2)500x (the choices are in the image bellow)

A: This question is based on Chain rule differentiation. d/dx {f(x).g(x)} = g(x).d/dx{f(x)} +…

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A: Let's prove.

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Q: Identify and sketch the graph of y = x² + 1 in R³.

A: Given:

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Q: the solution of the given initial value problem. ty' + 2y = sint, y = 7, t > 0

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A: We need to find the discontinuous and non-differentiable points from the graph.