Part IV. Solve the given problem. Show your solution. The electronic force for an electric circuit with a simplified generator is E(t) volts at t seconds, where E(t) = 40 cos 120nt. Find the following: (a) instantaneous rate of change of E(t) with respect to t (b) instantaneous rate of change of E(t) with respect to t at 0.5 sec.

Q: The height of a mass attached to a spring can be modelled by the sinusoidal function h(t) 84-6.7 cos…

A:

Q: dx = cosx cos²t dt

A: dxdt=cosx cos2t On simplification, we get dxcosx=cos2t dt

Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) = 6…

A: Rate of oscillation v(t)=d/dt s(t)

Q: Find fr es sin(t − s) ds -

A: Step 1: Step 2: Step 3: Step 4:

Q: The displacement from equilibrium of an oscillating weight suspended by a spring is given by 1 y(t)…

A: Given, The displacement from equilibrium of spring y(t)=14cos(6t)

Q: rt%3Dr/6 t cos(2t) dt t=D0

A:

Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled…

A:

Q: Everybody's blood pressure varies over the course of the day. In a certain individual the resting…

A:

Q: The productivity of a person at work is modelled by a cosine function: y = 5 cos s(t) +5, where t is…

A:

Q: A conical tank (with vertex down) is 12 feet across the top and 16 feet deep. The volume of water in…

A: Given: Conical tank dimensions: Diameter at top, d=12 feet Depth, h=16 feet V=316πh3

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 9 sin(t). The initial…

A: Solution:Given that, the function a(t) = 9 sin(t) and initial velocity of object is v(0) = -6 m/s.