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Find the angle between the given vectors. u = i – j, v = 5i + 6j Round to the nearest tenth of a degree.

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Find the curvature of the curve r(t).

The position vector of a particle is . Find the requested vector.The velocity at

Find the angle between the given vectors.u = i – j, v = 3i + 5j Round to the nearest tenth of a degree.

Find the domain of the vector-valued function.

Solve the initial value problem.Differential Equation:  = (sec2t)i + (4t3- 3)jInitial Condition: r(0) = -6j

Find the Jacobian J(u, v). u = 5x – 3y,      v = -3x + 5y

Use the given transformation to evaluate the integral.

Solve the problem.Let R ={(x, y): 1 ≤ x < 4, 0 ≤ y < 4}. Evaluate