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- Q2 Express the function r = 4 cot 0 csc 0 by cartesian formarrow_forwardThe equation r(t) = i+ -t - 16t j is the position of a particle in space at time t. Find the angle between the velocity and acceleration vectors at time t= 0. The angle between the velocity and acceleration vectors at time t= 0 is radians.arrow_forwardEvaluate and simplify y′. y = 5t2 sin tarrow_forward
- Consider the following scenario. A pilot is steering a plane in the direction N 45° W at an air-speed (speed still in air) of 150 mi/h. A wind is blowing in the direction S 30° E at a speed of 34 mi/h. Set up the coordinate axes so that north is the positive y-direction and west is the negative x-direction. With respect to the still air, write a vector that represents the velocity of the plane and a vector that represents the velocity of the wind.arrow_forwardThe equation r(t) = (t) i+ (V3t- 16t) j is the position of a particle in space at time t. Find the angle between the velocity and acceleration vectors at time t= 0. The angle between the velocity and acceleration vectors at time t=0 is (Type an exact answer, using t as needed.) radians.arrow_forwardFind the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = 6t°i - 21°j- 31°k 2sts3 The curve's unit tangent vector is (Type an integer or a simplified fraction.) Di+(Di+ (O k.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage