1. Let f: R→ R such that f(x) = -x ifa is rational and f(x) = 2x+3 if x is irrational. Prove that f is continuous at a if and only if a = -1. (Hint: this question is very similar to an example in the lecture)

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A: we will find the required.

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A: Given that plane passing trough the points (2,0,0),(0,1,0) and (0,0,2)

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A: According to question,Given Point : -5,1,2,Given Line : a⇀t = -5,0,-3t+-7,1,-5

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A: Suppose that a colony of beetles grows exponentially with doubling times 5 years. How many years…

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A: Given: ∫153x2+7xdx

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A: Follow the procedure given below

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A: Given graph:-

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A: We will find out the required.

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A: we have to choose true/false above 3 sub part The indefinite integral of the sum of two functions is…

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