Let R be the region enclosed by the polar curve r (0) = 1 + 2 cos² (0) where 0 ≤ 0 ≤ Y R 1 Which integral represents the area of R? 8 klos

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A: It is given that f(x) = x-3 g(x) = x2 We need to find the solution to the given questions.

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Q: ع لح ل(۸ + ")APNPLPLg للع(۸

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A: This question can be solved using the concept of area under curve.

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Q: please do the second (b)

A: Let's find volume when rotated about y axis.

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A: see below the answer and explanation

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Q: derivative of (√2)^csc4x

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A: Area under curve

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Q: (5) If f(x) =........., then f(x) is reducible in Z5[x]. (i) x³ + 2x² + 2x + 1 (ii) x² + 1 (iii) x²…

A: This is a problem related to reducible and irreducible nature of the polynomial while in Z5[x].…

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Q: B) Solve the equation (x+y-1)³ dx+4(x-2) dy=0.

A: Solution

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A: Explanation of the answer is as follows

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Q: 3 Evaluate: 2₁ (4x²yz - 2 ) dz dy dx 4

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Q: A) Match each equality with the letter corresponding to the property it illustrates. Responses may…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…