Evaluate the definite integral. i-ej+ k 7 O el - 1 7. O el - 1 i+ (e- - 1) j+ k i- (e-- 1) j+ k O e - 1 근-(e-1-1) +. 1 (e - 1) i- (e- – 1) j+; k

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A: We can solve this as follows:

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A: limx→1 4xx+1The function is defined at x=1.limx→1 4(1)(1)+1limx→1 41+1limx→1 42=2

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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A: A detailed solution is given below

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A: Apologies for the inconvenience. Here is the correct solution.   If a series ∑n=1∞an has either…

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A: Follow the procedure given below.

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A: We will solve using cramers rule.

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A: Vector

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A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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A: We need to perform integral.

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A: This question can be solved using the concept of dot product of two vectors.

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A: To solve the given integral.

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A: This is a problem related to derivative of the function. Based on the general formula and concepts…

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A: To differentiate.