Calculate the arc length of the indicated portion of the curve r(t).r(t) = 11t3i + 2t3j + 10t3k, -1 ≤ t ≤ 2

Find all the second order partial derivatives of the given function.f(x, y) = x2 + y – ex+y

Calculate the requested distance.The distance from the point S(1, 7, -6) to the plane -9x + 6y + 2z = -10

Calculate the arc length of the indicated portion of the curve r(t).r(t) = 11t3i + 2t3j + 10t3k, -1 ≤ t ≤ 2

Calculate the requested distance.The distance from the point S(1, 7, -6) to the plane -9x + 6y + 2z = -10

For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the given parameter value r(t) = (7t2 – 7t)i + (t + 3)j + k ; t0 = 2

Find the vector projv u v = 3i – j + 3k, u = 2i + 10j + 11k

Calculate the arc length of the indicated portion of the curve r(t).r(t) = 11t3i + 2t3j + 10t3k, -1 ≤ t ≤ 2

Find the vector projv u v = 3i – j + 3k, u = 2i + 10j + 11k

Solve the problem.Find the area of the triangle determined by the points P(-3, 6, -4), Q(9, -6, 7), and