The strength E of an electric field at a point (x, y, z) due to an infinitely long charged wire lying around the x-axis is given by E(x, Y, z) = 3 Describe the level Vy? + z2 surfaces of E.

Q: Find an equation for the tangent plane to the surface z+1 = ry* cos(z) at the point (1, 1, 0)

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Q: c) Given the scalar function p(x, y, z) = x²e - y³ + cos 2z. Find the directional derivative of p(x,…

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Q: A+b+c=180 (For c)

A: Given, A+b+c = 180 To be solved for c

Q: electrical Dotential in vots at the point (x,y) is -(hx)さ -人 ) For point Co,0) Determne 3x e Tan %3D…

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Q: 3. Given F(x,y)=(y,2x), find F-T ds where curve C is the parabola y=x from point (0,0) to point…

A: We use line integration to evaluate this.

Q: Let C be the boundary of a rectangle with vertices (0, 0), (-1,0),(-1,5) and (0, 5). Then ve dx +…

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Q: 2) Find the work of F = (x² - y² -4,2xy) on the semi-circle of radius 2 centered at the origin…

A: ∮F·dr=∮x2-y2-4dx+2xydy             =∬S∂∂x2xy-∂∂yx2-y2-4 dxdy               By applying Greens…

Q: Suppose ABC- > LMN is a reflection across the line x = 0. If A(4, 4) what is the y coordinate of L?

A: Suppose ABC- > LMN is a reflection across the line x = 0. If A(4, 4) what is the y coordinate of…