6: Findl ihe: node voliages for the circuii: below 47 2i0 2 3 22 1 A 112 4Ω
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a) Findl direetional derivative of Fat P in direetion ot u 6) /inc/ grade at ρ and marinum vatee ofdreocona Meri vative at ρ 2. Finl the equation of targent plane and equatcens of tanganey C-2,1,4) 3. Exomine fer the relalire entrema anel saddu points t. Finl the orea hon R using the doudle integra 7: 2 5, Sketeh the region of integraion, change the order of intigratien, no evecate yinx of the equatians x20 乙-O 7, Convert to poler...
The answer key says Underdamped, but i do not understand why. Question 10 In the circuit below, the inductor current, iz(), for t2 0 is known to be, -10t 1012 ve(t)) Vc(t) Find the response curve that best represents the inductor current above iL(t) iL(t) (2) Underdamped (1) Undamped it t) i(t) (4) Overdamped (3) Critically damped (5) None of the above Question 10 In the circuit below, the inductor current, iz(), for t2 0 is known to be, -10t...
i= 1 i= 1 i = 1 • Ex+ ve * E **v *** nxc. i=1 i=1 ¡= 1 i= 1 • ax + bý+nxc.
, then the domain of (f.g)(x)is: 7) Let f(z) = VE + 1 , 0,2) g(1)--IT-6 D) I-1,0o)/12) E) None of the above.
202 i8302 का +260V (I> 3i ve-60 pF Given: The switch, which has been open for a very long time, is closed at t=0. Required: Determine the initial capacitor voltage, Vco, the steady-state capacitor voltage, Vco, the time constant, t, in effect for t> 0 and the value of the capacitor voltage at t = 393 us. Solution: Veo =| v, Ver = vr= us, Ve(393 us) = v 15 k 2 50 k 2 t = 0 2 Dois...
6 Let V be the olid bourded from belou LT y nyz2 and loounded om abve =Z Findl the vilame ( ind the area V a Stthe boundary 0f v 6 Let V be the olid bourded from belou LT y nyz2 and loounded om abve =Z Findl the vilame ( ind the area V a Stthe boundary 0f v
(a) detevm/ve theimpulse response h(t) (b) use H3レ I H
using only ⊃I, ⊃E, ≡I, ≡E, ~I , ~E, &I, &E, vI, vE, R Q 2: Construct a derivation for each of the following theorems. (30%) (a) NN AV ~ A (b) (A » (B) C)) = ((A) B) » (A » C)) (c) (A ? B) V (B) A) Q 3: Show the equivalence of the following pairs of sentences (40%) (a) ~ (A&B) :~ AV ~ B (b) ~ (AV B) :~ A& Extra Qi Construct a derivation...