Consider F (r, 6, 2) = 0³ē, + 4rē + 3r² ze, and 3126 222 State the expression for the gradient of in cylindrical polar coordinates and evaluate for given above.
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- A particle is moving in the plane, so its coordinates ï and y are functions of ₺, and its polar coordinates r and ℗ also are functions of t. At a time when x = -4 and y = 3, and dx/dt = 2 and dy/dt = 1, what is de/dt?/8-x2 6. Use polar coordinates to evaluate x2+y2+5 dy dx.A particle started at A(1,0) circled the origin once an d returned toA(1,0) .what were the change in its coordinates
- Q2. If is a covariant vector in Cartesian coordinates x,x2. Find its components in polar coordinates , x where the transformation law from the Cartesian coordinate (x,x2) to polar coordinates (x, x2) are x' = x'cos(x²) and x² = x'sin(x²) %3DFind the distance between the skew lines with parametric equations x = 3 + t, y = 1 + 6t, z = 2t, and x = 2 + 2s, y = 6 + 15s, z = -2 + 6s. 10/7 Need Help? Read It3, Evaluate LL -2 J-√4-x² by using polar coordinates. (4- y²) dydx
- Q2. If ) is a covariant vector in Cartesian coordinates x',x². Find its components in polar coordinates x', x where the transformation law from the Cartesian coordinate (x',x²) to polar coordinates (x', x²) are x' = x'cos(x²) and x² = x'sin(x²) %3DQ2. If is a covariant vector in Cartesian coordinates x,x. Find its components in polar coordinates x, x where the transformation law from the Cartesian coordinate (x',x2) to polar coordinates (x', x²) are x' = x'cos(x²) and x² = x'sin(x²)Let R(r, theta) = (r*cos(theta))er (polar coordinates) How do I find v (velocity) for r = 2, theta = pi/4, dtheta/dt = 2, and dr/dt = 3?