Converting to Polar Coordinates In Exercises 29–32, use polar coordinates to set up and evaluate the double
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Multivariable Calculus (looseleaf)
- 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?arrow_forwardV8-x2 Example: Use polar coordinates to evaluate ay dydx 1 5+x²+y?arrow_forwardFind polar coordinates (r, 0) of the point (1, -V3), where r <0 and 0 <0 < 2marrow_forward
- Find a parametric function for the intersection of r – 3y + 4z = 0 and a? + y² = 9.arrow_forwardRepresent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q corresponds to t = 1.) P(0, 0, 0), Q(4, 2, 4) r(t) = %3D Represent the line segment from P to Q by a set of parametric equations. (Enter your answers as a comma-separated list of equations.)arrow_forwardWhat is the direction vector of the parametric equation below? x=5+2t y=7-t Z=4 (2,-1,0) (5,7,4) (5,7,0) (2,-1,4)arrow_forward
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage