Q2) For the circuit in the figure, the capacitance is 0.5, the resistor is linear with v-i characteristic v = 2i, and the sinusoidal voltage source is given by e(t) = 6 sin t. Find the charge on the capacitor as a function of t given that it was initially R E

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Q: In Exercises 35–40, find the partial derivative of the function with respect to each variable.

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re…

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A: The acceleration of an object is given by a(t)=cos(πt), and its velocity at time t=0 is 1/(2π) when…

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A: A spring oscillates with a frequency of 8 cycles per second. Its initial displacement is 3…

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A: We will use the definite integral to find the value of ' s '.

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A: Given: The differential equation modelling the motion of a pendulum, mly''=-mgsiny, where l is the…

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A:

Q: 4 .Using n=8 approximate the value of cos(1+Vx )dx using 0. (a) the Midpoint Rule, (b) the Trapezoid…

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Q: (t – sin t)v1 – cos t dt

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Q: given sin -In\x+ y + 19| Ax, y) = V18 – (x + 11)² – (y + 10)² sketch domain p(-11+ v7, - 10) is…

A:

Q: Q1/ Use the chain rule to find and when z = tan- (=) X = u cos V, du dv y = u sin v at point (u,…

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Q: Given the acceleration and initial velocity of a body moving along a coordinate line at time t, find…

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A: Given

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A: This is a problem of parametric curve and Integration.

Q: 9. Using n= 8 approximate the value of cos(1+Vx )dx using (a) the Midpoint Rule, (b) the Trapezoid…

A:

Q: The equation below is said to be 3 dy (x² – 1) \dx, sin x — х - + ye2x+1 %3D O A. Linear and…

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Q: (4) Let the position of a swinging pendulum in simple harmonic motion be given by s(t) = a cost +…

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Q: Suppose A(t) = [ e^t 0 0 0 cos t sin t 0 −sin t cos t]…

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Q: 9. Find the length of the curve: r = 1+ cos(20),0 < 0 s 2n

A: given equation of curve r=1+cos(2θ)   , 0≤θ≤2π as per our guideline, we are supposed to answer the…

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A: The solution of given differential equation is given as follows :

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Q: ds The velocity of a particle moving back and forth on a line is v = = 6 sin(2t) m/sec for dt all t.…

A: Given:   To find:

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Q: 20. The action of a spring can be modeled by the function y = 4 cos x – cos x sin x after x seconds…

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Q: Question 9

A:

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Q: 21 sin 2t, 0sts 2n I'"(t) + 251(t) = g(t), 1(0) = 1, I'(0) = 27, where g(t) = 0, 2n<t I(t) = ?

A:

Q: The equation implicitly defines z as a function of t. Find dz dt +² 22 - sin (5 z) = -8

A:

Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

A: Differentiate x with respect t. dxdt=ddtcos2t=-2sin t cost  Differentiate y with respect to t.…

Q: ds The velocity of a particle moving back and forth on a line is v = = 6 sin(2t) m/sec for dt all t.…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.