Find the directional derivative of in the direction of the vector (1,3) at the point (-1,2)
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- Find the new equation of the line y=x after applying the translation by the vector (2, -1)Compute the directional derivative in the direction of the vector.Compute the directional derivative in the direction of v at the given point. S(x, y) = e*}-°, v= (12,–5), P= (3,3) Remember to use a unit vector in your directional derivative computation. (Give an exact answer. Use symbolic notation and fractions where needed.) Du S(3, 3) =
- Find the directional derivative of f (x, y, z) = 2z²x + y³ at the point (2, 1, 1) in the direction of the vector √5 (Use symbolic notation and fractions where needed.) directional derivative: + 2 √5find the directional derivative of the function in the direction of the vector vEvaluate the directional derivative Duf (2, 3) if ƒ (x,y) and T2 - y u is the unit vector in the same direction as (-3, 4).
- Find the velocity, speed, and acceleration of a particle moving with position function r(t)=(3t^2-4)i+(3t)j Sketch the path of the particle and draw the position, velocity, and acceleration vectors for t=2find parametric equations to the tangent line of the curve given by the vector function at point (10, 2, 33)Verify the Sum and Product Rules for derivatives of vector-valued functions.
- Give a vector parametric equation for the line through the point (4,-3) that is perpendicular to the line <1−4t,3t−3>Compute the directional derivative of the function goxy)=sin(x(3x - 4y)) at the point P(1.-3) in the direction (5) Be sure to use a unit vector for the direction vector The directional derivative in (Type an exact answer, using x as needed) HERESf(x, 3) In(x2 + Yof function P(3, 4) at the point of = (9, 12) Directional derivative in the direction of the vector to you.