(10 points) Let S be the surface that is part of the sphere x² + y²+z² = 4 lying below the plane 2√3 and above the plane z-v -√3. Calculate the surface area of S.

A: A graph has not derivative when f is, Sharp‏‏‎ ‎corners‏‏‎ ‎or‏‏‎ ‎cusps:‏‏Vertical asymptote ‏‏‎…

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A: r≈19%Thus, the required interest rate is 19%.

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A: To solve the initial value problem y'' - 10y' + 25y = 0, y(0) = 1, y'(0) = 3, we'll follow these…

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A: To find the particular solution to the differential equation:y′′+2y′−15y=2e3t,We can use the method…

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A: Given Information:∠A=50∘∠B=90∘ (Right Angle)∠C=40∘ (Since 180∘  −  90∘  − 50∘  = 40∘)BC = 14…

A: We need to evaluate the given definite integral:  I=∫814​x2−49​x2​dxwhere the lower limit is x = 8…

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A: Detailed Approach and AnswerWe can write the equation as follows:…

A: Question 1Explanation:   Question 2or,  ∫1+25x2tan−1(5x)​dx=101​(tan−1(5x))2+C