Mathematics, 23.04.2020 19:38 thereal6ix9ine69
Imagine slicing through a sphere with a plane (sheet ofpaper). The smaller piece produced is called a spherical cap. Its volume is V= πh2(3r−h) /3, where r is the radius of the sphere and h is the thickness of the cap. Find dr/dh for a spherical cap with a volume of 5π/ 3 m3. Evaluate this derivative when r=2 m and h=1 m. What is the expression for dr /dh? And evaluate this derivative when r= 2m and h = 1m.
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The line y = x + passes through (−3, 7) and is parallel to y = 4x − 1.
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Cassie is traveling 675 miles today to visit her brother and his family. so far, she has stopped for gas three times. at the first stop, she put in 7.1 gallons of gas and paid $23.79. at her second stop, she put in 5.8 gallons of gas and paid $19.08. and, at the third stop, 6.6 gallons and paid $20.39. at which stop did casey pay the most for gas?
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Ahiker stands at an unknown elevation before he ascends 2 miles up a mountain to an elevation of 9 miles. find the elevation of the hiker before his ascent.
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Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe
Answers: 3
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