5.The sum of two positive numbers is 16. What is the smallest possible value of the sum of their squares?

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A: Since you have posted multipart questions i can do first three subparts as per our company…

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A: In order to graph the opposite vector we need have one more point along with the origin.

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A: Limits

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Q: Please

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A: This question can be solved using the concept of functions and derivatives.

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Q: 6. csch x dx

A: To find the integral of the given function.

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A: Solution:

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A: Let's find area between two given curves.

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A: Here, the given vector field is: F=x2i+5xj+z2k⇒curl F=ijk∂∂x∂∂y∂∂zx25xz2…

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A: Since you have asked multiple questions in a single request we would be answering only the first…