Q.5 Find the relative maxima and relative minima of the function, if any. 1 f(x) = x³ – 2x² – 5x – 10 - | 3

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A: This question can be solved using the concept of differential equation and arbitrary constant.

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A: Note: Since the student has posted multiple questions but first question (question number 4) is…

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A: Use tangent plane formula

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A: Area of shaded region .

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A: If limn→∞an  exists and is finite the then sequence an is converges.

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A: we have to find directional derivative.

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A: What are the characteristics of graph of tangent function

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A: Given that,     r(t)=t2i+t9j

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A: Apply integration both side with respect to x

Q: Give 5 sample problems for Elimination of Arbitrary Constant (Differential Equation). Provide step…

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A: Let's find.

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Q: Find the relative maximum and minimum values and the saddle points. f(x.y) = 242y +x -xy

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Q: C. Determine the Laplace transform of 1. F(x)= x2 2 f(x) = e®, a €R 2.

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A: Given problem:-