Write the equation for the plane.The plane through the points P(-1, 7, -36) , Q(2, 6, -17) and R(1, -7, 30). 

Solve the problem.Write an iterated triple integral in the order for the volume of the tetrahedron cut from the first octant by the plane .

Find the potential function f for the field F.F(x,y,z) = 9i + -ezj – yezk

Provide an appropriate answer.Find when u = -5 and v = -7 if w(x, y, z) = , x = , y = u + v, and z =

Using Green’s Theorem, compute for the given path C. Assume C is closed and positive orientated. F = (-5x + 3y)i + (8x – 4y)j; C is the region bounded above by y = -4×2 + 32 and below by in the first quadrant

Solve the problem. Unless stated otherwise, assume that the projectile flight is ideal, that the launch angle is measured from the horizontal, and that the projectile is launched from the origin over a horizontal surfaceA projectile is fired at a speed of 1040 m/sec at an angle of 39°. How long will it take to get 26 km downrange? Round your answer to the nearest whole number.

Using Green’s Theorem, compute for the given path C. Assume C is closed and positive orientated. F = (9x + 2y)i + (8x – 6y)j; C is the region bounded above by y = -3×2 + 96 and below by in the first quadrant

Identify each given point of the function as a local maximum, local minimum, or saddle point. (-5, -4) [minmaxsaddle1]   (-5, 4) [minmaxsaddle2]   (5, -4) [minmaxsaddle3]   (5, 4) [minmaxsaddle4]  

Which of the following statements about the association between hormones and emotions is TRUE?

If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the acceleration vector.r(t) = (8 ln(3t))i + (4t3)j