The value of `(x^2(yz)^2)/((xz)^2y^2)(y^2(xz)^2)/((xy)^2z^2)(z^2(xy)^2)/((yz)^2x^2)`is`1`(b) 0 (c) 1 (d) None of theseKnowledgebase, relied on by millions of students &Jun 16, 17Explanation f=x y (x^2 y^2) y z (y^2 z^2) z x (z^2 x^2) f = x y ( x 2 − y 2) y z ( y 2 − z 2) z x ( z 2 − x 2) Calling y = lambda x y = λ x and x = mu x x = μ x and substituting f= (lambda lambda^3 mu lambda^3 mu mu^3 lambda mu^3)x^4

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F x y z x 2 y 2 z 2 x y z 12-Letf (x,y,z) = x^2y^2z^2 Calculate the gradient of f Calculate ∫_C (F dr ) where F (x,y,z)= (x,y,z) and C is the curve parametrized by r (t)= (3cos^3 (t),Ö" 3L´ÓJ2ûs#$ ±‚Ÿ{ ¾œÅcJº,@ó™R''CXM5_ª#M $�o—óTt'ƒ



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Compute answers using Wolfram's breakthrough technology &Click here👆to get an answer to your question ️ The value of x y z if x^2 y^2 z^2 = 18 and xy yz zx = 9 isKnowledgebase, relied on by millions of students &
ÿûRÄ〠}¬0A_ l4ö!ˆ PQ !($>•,à ŒR iI A²BÅCompute answers using Wolfram's breakthrough technology &The problem is I have to find all the possible combination of integers (x, y, z) that will satisfy the equation x^2 y^2 z^2 = N when you are given an integer N You have to find all the unique tuples (x, y, z) For example, if one of the tuple is (1, 2, 1), then (2, 1, 1) is not unique anymore
Find the Determinant x,y,z,x^2,y^2,z^2,x^3,y^3,z^3 Set up the determinant by breaking it into smaller components The determinant of is Tap for more steps The determinant of a matrix can be found using the formula Simplify the determinant Tap for more steps Multiply byClick here👆to get an answer to your question ️ If u = f(r) , where r^2 = x^2 y^2 z^2 , then prove that ∂^2u∂x^2 ∂^2u∂y^2 ∂^2u∂z^2 = f^\ (r) 2rf (r)Find one factor of the form kx^{m}n, where kx^{m} divides the monomial with the highest power x^{2} and n divides the constant factor y^{2}yz



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Also, the projective completion $(x^2y^2)w = z(z^2w^2)$ contains a line at $(wxyz) = (0\ast\ast 0)$, let $\beta(u)$ parametrize this line The line through $\alpha(t)$ and $\beta(u)$ intersects the cubic at one additional point)Z = −1, y = −xProfessionals For math, science, nutrition, history



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Calculus Calculus Early Transcendentals Find the area of the part of the sphere x 2 y 2 z 2 = 4 z that lies inside the paraboloid z = x 2 y 2 more_vert Find the area of the part of the sphere x 2 y 2 z 2 = 4 z that lies inside the paraboloid z = x 2 y 2Minimize the function f(x, y, z)=x^{2}y^{2}z^{2} subject to the constraints x2 y3 z=6 and x3 y9 z=9 Video Transcript So the question is gonna look a little bit different We instead of having one constraints, we're gonna find extreme valueYou can quite easily reduce this system to a single cubic equation However, solving a general cubic equation is not simple To reduce the system, you should read up on Newton's identities What you call a, b, c they call p1, p2, p3 The Cubic fun



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Solution for xyyz=12 equation Simplifying x y y z = 12 Combine like terms y y = 2y x 2y z = 12 Solving x 2y z = 12 Solving for variable 'x' Move all terms containing x to the left, all other terms to the rightShow that the intersections of this surface with planes perpendicular to the xand yaxes are hyperbolas Hint Set either y = c or x = c for some constant c The other type is the hyperboloid of two sheets, and it is illustrated by the graph of x 2 y 2 z 2 = 1, shown belowTo ask any doubt in Math download Doubtnut https//googl/s0kUoeQuestion If 2^x = 3^y =12^z show that 1/z= 1/y2/x



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Simplify (xyz)^2 Rewrite as Expand by multiplying each term in the first expression by each term in the second expression Simplify each term Tap for more steps Multiply by Multiply by Multiply by Add and Tap for more steps Reorder and Add and Add and Tap for more steps Reorder and Add and37 Compute the integral of f x y z z 2 x 2 y 2 z 2 1 over the cap of the sphere from MATH 57 at Louisiana State UniversityThen the integrals becomes the following, where D is the projection of the surface, S, onto the x−yplane ie D = {(x,y) x2 y2 ≤ 1} Z Z S z2dS = Z Z D z2 1 z dxdy = Z Z D p 1−x2 −y2dxdy = Z 2π 0 dθ Z 1 0 p 1−r2rdr = − Z 2π 0 dθ Z 0 1 1 2 √ udu = Z 2π 0 1 3 dθ = 2π/3 Example 57 Find the area of the ellipse cut on the



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