4x² + 4y² + 4z² dV = mz, where R is the solid hemisphere with z + y² + z² < 21 and z>0 Find the value of m

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A: given (D3 + D2 − 2D)y = 4e−2x cosx The auxillary equation is m3 + m2 – 2m= 0 m(m2  + 2m - 2)=0…

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A: First we find complementary function then particular integral and then general solution.

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A: Ordinary differential equation involves derivative with respect to one variable.

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A: Solution: Given x+sin ydx + xcos y-2ydy=0

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A: We have to use integration using changing the rectangular axis.

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Q: •3 /9-x² r9-x²-y² Evaluate: x dz dy dx, using cylindrical coordinate. -3 V9-x² Jo

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Q: f(x) = 3x²+x+7. Approximate fo trapezoids. O a. 60 Ob. 44 Oc. 30 Od. 22 f(x)dx using the trapezoidal…

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Q: The standard form of 3dy- xydx= 3y e* 4x/3 by Bernoulli's equation is: dx = 3e /3,3 ху A dy B y…

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