State the following laws as applied to Biological fluid in membrane. i. Stoke's law ii. Nernst law equation

Q: The following data relates to the basic AC bridge under balance condition ZI = 80 260°; 22 = 180270°…

A: Given:z1=80∠60° , z2=180∠70°,  z3=20∠40° To find out: z4=?

Q: The sutiable substitution for evaluting csc' (x)cot°(x)dx is CS a) u = tamx (b)u = cotx (c) u= cscx…

A:

Q: following (a) E(X) and E(Y) (b) Cov(X, Y) (c) Are X and Y independent? Justify your answer.

A: Solution

Q: = + E (0 < x < L,0 < t <ox) L Ot u (0, t) %3D 0, и(L,t) %3 0, и(х,0) — А, и (т,0) %3D0.

A: Given - ∂2u∂x2 = ∂2u∂t2 + πL∂u∂t , u0, t = 0 , uL, t = 0 , ux, 0 = A , ∂∂tux, 0 = 0 , 0 &lt; x &lt;…

Q: Solve the following first-order linear DE's. y' + (cotx)y = xcscx, y = 1

A: we have to find the general solution

Q: Find the average value of f(x, y) over the plane region R.

A:

Q: if was T!R R? Linearidentifir grandfather OkerT ImiT

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Q: what is the slope and y intercept

A: Slope-intercept form: y = mx + C where m = slope and     C = y-intercept

Q: Let h(y,z)=y(e)^−z. Calculate ∂h/∂y and ∂h/∂z.

A: Given : hy,z = ye-z

Q: Evaluate by separation of variables. dB u(1 – u?) sec² ß | du

A:

Q: Calculate ∂W/∂E and ∂W/∂T , where W = e−E/kT , where k isa constant.

A:

Q: If a particle moves on a line according to the law s = t§ + 2t³, then the number of times it…

A:

Q: Find U from the differential equation and initial condition. I'm know the answer but I don't know…

A: To solve below initial value problem.

Q: I (2² + u²) dt, min J =

A: LQR is a Linear Quadratic Regulator is a well - known which gives the optimally controlled feedback…

Q: x*y" + xy'+4y= 2x Ina

A: Cauchy linear differential equation

Q: If a particle is moving with v(x)=1.5(x^1/2) and s(9)=33, what is the position of the particle? As a…

A: Let v(x) denote the velocity of the particle and s(x) denote the position of the particle.Obtain the…

Q: Laplace's equation reads vo = 0 %3D True False

A: The partial differential equation ∇2ϕ=0 is known as a Laplace's equation.Then ϕ is called harmonic…

Q: for each euation.ficstudco he poase shift and the Sketch ane complete cade af the grapmin each Coser…

A: Trigonometry is a branch of mathematics that studies relationships between side lengths and angles…

Q: : Scot y dy

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Q: Y XY Student Weight (kg) 72 Height (cm) 1 170 2 172 70 3 158 60 165 73 4 180 85 6 195 98 7 183 78 8.…

A: We need to calculate the correlation coefficient for the given data, student X Y XY X^2 Y^2 1…

Q: 2) H. GN H G'N H' %3D in HUG b. (GUHY %3D e

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Q: A = (C = { z = x+yi : x, y E R, i² = -1},+), (a+bi)+(c+di) = (a+c)+(b+d)i • B = iR = { iy : y E R }

A:

Q: Replace The following partial di ff crential equation in to canoni cel orm 2xy 4 %3D

A: The given problem is to reduce the given partial differential equation into canonical form.

Q: , find the Jacobian ?(x, y)?(u, v) for the indicated change of variables x = uv − 2u, y = uv

A:

Q: Suppose that the volume, V, and radius, r, of a sphere are changing with respect to time and satisfy…

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Q: Find SV. T. 15 30 R U 16 V SV %3D Submit

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Q: b) y= In( see x)

A: Answer and explanation is given below..

Q: Euler's difFQ 3. (y()) =VZ Eq cal g'ral-2y cx ) =x (y (x )

A: Given differential  equation:-    y' - 2y = xy3        y(1)=2√2

Q: (a) y(t)=1+af,y(t)dr,1 > 0

A:

Q: If = 2 z-x'y and A = 2x'î-3 yzj +x z'k, find A.V and A xV4 at the point ( 1,-1,1).

A: given ϕ=2z-x3y and A=2xi^-3yzj^+z2 k^ find at the point 1,-1,1 1) A·∇ϕ 2) A×∇ϕ

Q: if z is dirctly proportional to the product of x and y and if z is 6 when x is 3 and y is 4, then…

A: Solution is given below..

Q: defirntion. yc fucon hg Suon ha hnd fhe Laplace Transfurm

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Q: CALCULATE C , 1) dt.

A: Topic - integration

Q: 2² dædydzB = {(æ, y, z) =E R° 0 < æ < 1,0 < y < 1,0 < : < x}

A: Given triple integral  ∭Bx2dxdydz, where B=x,y,z∈R3:0≤x≤1,0≤y≤1,0≤z≤x. We have to evaluate…

Q: Hw 2. Laleulate fez) dz = ? where Im(2) and cis

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Q: E(x, y, z) = xi+ yj + zk

A: Given data:     The given vertices of the cube are: . The given expression for the electric field…

Q: If E?uz = x² and h = 1, then find ux. %3D

A: The objective is to find ux. Given information is: E2ux=x2, and h=1.

Q: ydy 4. S (1 + 3²) ² 4

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Q: lack bus of voltage 1.0< 0" p.u. The line im

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Q: 31. *7/2 csc t cot t dt

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Q: xlet X,Y,7 be v.V.J with Joint fA くれく くらくtyerzc

A: The joint probability density function is given to us the conditions on x, y, z are also given to…

Q: Suppose that the volume, V, and radius, r, of a sphere are changing with respect to time and satisfy…

A:

Q: In a typical equation, Y B*X + u, of the linear model, the observable/known quantities are: OA. Band…

A: The regression analysis is a statistical procedure that allow us to find the linear association…

Q: R = {(x,y) E R ×x R : x > y} T = {(x, y) E R × R : x > y}. RoT.

A:

Q: 5. If y = In(x + y), find y' at the point (x, y) = (e – 1,1).

A:

Q: Assume butterflies' populace caleulated that aftes W months, in lo06 is as f lW) = 12W + Los…

A: Given f(w) = 12w + cos(16w) +n * 100

Q: According to Kirchoff's voltage law, the sum of the voltage drops across these elements is equal to…

A:

Q: Ion 41 Let A = (m, n) and B = (x, y). If A and B lie in on horizontal line and B is to the right of…

A: We will solve the problem using figure.

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.