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For the following differential equation, determine the Laplace transform, and put into transfer function form (note, one pole is at s = -3):
(d^3 x(t)/dt^3) + (6 d x(t)/dt^2) +(11 dx(t)/dt) + 6x(t) = 6r(t) + (6 dr(t)/dt)
They melt when 3.9 × 104 J of heat is added to A and when 11 × 104 J is added to B. (a), (b) Determine the latent heat of fusion for the substance from which each object is made. (c) Find the heat required to melt object A when its mass is 7.4 kg.
if a 1mA movement has an internal resistance of 43 ohms, calculate the shunt resistance required to increase its range to 50mA and also 300mA.
A sample of vinegar is 4.8% acetic acid, HC2H3O2, by weight, andhas a density of 1.00g/mL. Calculate (a) the grams of acetic acidin 1 liter of vinegar (b) the molarity of acetic acid invinegar.
A thin conducting wire of length 3w forms a planar equilateral triangle. A Direct current I flows in the wire. Find the magnetic flux density at the center of that triangle.
Write the equation for the voltage across the capacitor for all time t > 0 (that is, after the switch opens at t = 0). Assume that the switch has been closed a long time before t = 0 to determine the initial condition on the capacitor.
Design a decade counter (negative edge-triggered counter) using flip flop circuit that can be used to perform binary counting. Show the timing diagram for the input and four outputs of the decade counter.
Design an amplifier circuit to amplify the small output voltage of a transducer of 50mV peak to deliver an output voltage of 8V peak to a 10k ohm load. (This design will produce 1 simulated circuit and an ac output and gain verified using an oscil..
four determinations of the pH of a certain solution are 7.90, 7.94, 7.91, and 7.93. Assuming normallity of determinations with mean mhu, standard deviation sigma, find: A. 99% confidence interval for mhu "u"
ASSUME THE NSC HAS A NEW INSTRUCTION CALLED INC (OPCODE = "11") THAT INCRMENTS THE CONTENT OF THE OUT REGISTER; THE INC INSTRUCTION DATA FIELD IS UNUSED. ALSO ASSUME THAT THE LOC INPUT IINPUT IS TIED TO THE COMPLIMENT
A 110 V rms, 60 Hz source is applied to a load impedance Z. The apparent power entering the load is 120 VA at a lagging power factor of 0.707. Calculate the reactive power in the load.
a) Express the s-domain impedance of this series combination as a rational function, b) Give the numerical value of the poles and zeros of the impedance and verify your calculation by matlab.
design a 4th order Butterworth band-pass filter, using a low-pass filter followed by a high-pass filter, to extract the 1200Hz and 1500Hz components from the signal x(t) a. Determine the cut-off frequencies of the low-pass and the high-pass filters..
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