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Test the vector field F to determine if it is conservative.F = i + j – k

Solve the problem.A 450-lb sign is hanging from the end of a hinged boom, supported by a cable inclined at 48° with the horizontal. Find the tension in the cable and the compression in the boom rounded to the nearest pound.

Find the unit tangent vector of the given curve.r(t) = 3t2i – 12t2j + 4t2k

Bonus: What is the halo effect? In what circumstances is it used? What does it tell healthcare professionals? 

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) = (4 ln(2t))i + (3t3)j

Using Green’s Theorem, compute for the given path C. Assume C is closed and positive orientated. F = (4x + 9y)i + (2x – 9y)j; C is the region bounded above by y = -2×2 + 54 and below by in the first quadrant

What is the structural and functional unit of the muscle? 

Which of the following is not true of graded potentials? 

What part of the brain is responsible for regulating thirst, temperature, and endocrine activity? 

Which of the following is an excitatory neurotransmitter secreted by motor neurons innervating skeletal muscle?