Let S be the sphere of radius 2 centered at (0, 0, 0). Let F(x, y, z) = <3xy² + e'y, 3x?y - 3 cos(zx®), z³ + 17x²>. Show all supporting work. %3D Evaluate f SF dS.

Q: S ize Find an equation of the line tangent to the curve defined by x + 5xy + y² = 7 at the point (1,…

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Q: a)x^2 + y^3 =2xy^2 Give the function for dy /dx.   Give the equation of the tangent line at the…

A: our objective is to find the derivative and tangent line

Q: P = V^2*R/ (R+r)^2' V and R are costant r is a variable  what is (dP)/(dr)=

A: Given  P=V2R(R+r)2 Here V and R are constants  r is a variable Find dPdr

Q: of Let f(x,y) = xy° +7. Evaluate at (x,y) = (-7,1) and interpret the results. ду -

A: In this question we have find δfδy at (x, y)=(-7, 1)

Q: OLif f(x, y,z)=2exp(-5xyz)cos(15z) Find

A: Partial derivatives

Q: Show that UV=12 given, UX = 8, and XY = 10 using the intersecting %3D Secant-Tangent Theorem. * U

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Q: Let 2x² + 5xy - 3y² – 14x − 7y + 20 = 0. dy Use partial derivatives to calculate at the point (3,…

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Q: dx and 3. Given the following parametric equation: =3t^2, =t^3+4. Determine without eliminating…

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Q: arametrize the monkey saddle z=x^3−3xy^2 by using u=x,v=y as the parameters.  plot the image

A: Given equation is, z=x3-3xy2 Take u=x,v=y Then the equation becomes, z=u3-3uv2 The counter map is,