Calculus Archive: Questions from August 11, 2023
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Evaluar , de la función z=x^2, donde S está determinado por las condiciones 0≤x≤y, y, x^2 + y^2 ≤1 O a. 1/4 u^2 O b. (π+2)/8 u^2 O c. (TT+2)/32 u^2 O d. 2π/8 u^2
Evaluar \\( \\iint_{S} \\) de la función \\( z=x^{\\wedge} 2 \\), donde \\( S \\) está determinado por las condiciones \\( 0 \\leq x \\leq y, y, x^{\\wedge} 2+y^{\\wedge} 2 \\leq 1 \\) a. \\( 1 / 42 answers -
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(1 point) Find the Jacobian. \\( \\frac{\\partial(x, y, z)}{\\partial(s, t, u)} \\), where \\( x=4 s-t-3 u, y=3 s-2 t-4 u, z=5 s-4 t-4 u \\). \\( \\frac{\\partial(x, y, z)}{\\partial(s, t, u)}= \\)2 answers -
Plz show all steps
Solve the following IVP using Laplace Transforms: \\[ y^{\\prime \\prime}-y^{\\prime}-2 y=1, y(0)=0, y^{\\prime}(0)=1 \\]2 answers -
Find dr/do. r=1-o^4sino
Find \\( \\frac{d r}{d \\theta} \\) \\[ r=1-\\theta^{4} \\] \\[ \\frac{d r}{d \\theta}= \\]2 answers -
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38. Find az/au and az/av when u = 1, v = -2 if z = ln q and q = √v + 3 tan¯¹ u.
38. Find \\( \\partial z / \\partial u \\) and \\( \\partial z / \\partial v \\) when \\( u=1, v=-2 \\) if \\( z=\\ln q \\) and \\( q=\\sqrt{v+3} \\tan ^{-1} u \\).\r\n\r\nIf \\( f(x, y, z)=\\tanh (x+2 answers -
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29 and 31
29-33 Find the centroid of the region bounded by the given curves. 29. \\( y=x^{2}, \\quad x=y^{2} \\) 30. \\( y=2-x^{2}, \\quad y=x \\) 31. \\( y=\\sin 2 x, \\quad y=\\sin x, \\quad 0 \\leqslant x \\2 answers -
Given \\( f(x, y)=-5 x^{3}+x y^{6} \\) \\[ f_{x x}(x, y)= \\] \\[ f_{x y}(x, y)= \\] \\[ f_{y y}(x, y)= \\]2 answers -
Given \\( f(x, y)=-3 x^{4}+5 x^{2} y^{3}-2 y^{2} \\) \\[ f_{x}(x, y)= \\] \\[ f_{y}(x, y)= \\] \\[ f_{x x}(x, y)= \\] \\[ f_{x y}(x, y)= \\] Question Help:2 answers -
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Given \\( f(x, y)=-5 x^{3}+x y^{6} \\) \\( f_{x x}(x, y)= \\) \\( f_{x y}(x, y)= \\) \\( f_{y y}(x, y)= \\)2 answers