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MATH 405 Homework 1.pdf - Ben Macafee HW1: Math 405 Due...

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HW1: Math 405Due through pdf submission on canvas: 28 Aug 22 (Sunday) by 11:59pmScalar, Vector and Pseudovector fields1. Mark the best description as either a scalar field (S), a vector field (V), or a pseudovectorfield (Ps).(a)(b)(c)(d)(e)(f)(a) The pressure a scuba diver feels at 30 ft below the ocean surface.(b) The motion of the scuba diver when she sees a shark.(c) The energy produced by the nuclei of hydrogen atoms in the water and fat of a personin an MRI machine.(d) The current density at a point.(e) The positive electric charge carried by protons in an atom’s nucleus.(f) The vorticity (proportional to the rotation rate) induced in a fluid due to the frictionof boundaries.2. Mark the best description as either a scalar field (S), a vector field (V), or a pseudovectorfield (Ps).(a)(b)(c)(d)(e)(f)(g)(a) The temperature of sand felt by a man running barefoot on the beach.(b) The amplitude of the waves that rock a rowboat.(c) The prediction of when a tsunami will hit San Diego and Hawaii after an earthquakein Chili.(d) The angular momentum of wheels on a moving car.(e) The gravitational acceleration on the moon.(f) The work done in pumping the water out of a cone-shaped cylinder.(g) The magnetic field produced by an MRI machine,3. Mark the best description as either a scalar field (S), a vector field (V), or a pseudovectorfield (Ps).(a)(b)(c)(d)(e)(f)(g)(a)f(x) = sin(3x+⇡)(b)˜v(t) = (t2,tanh(t+ 4),-t)(c)˜w(t) = (t-4)ˆ˜i+t3ˆ˜j-6ˆ˜k(d)v(t) = (t2+ tanh(t+ 4)-t)(e)˜v=˜u+˜w(f)˜v=˜u⇥˜w1

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Term
Fall
Professor
BELMONTE
Tags
Force, Trigraph, Vector field, du costdt

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