Q: Q1// B: If u+v=e cos y and u-v=e'sin yfind the Jacobain of the a u, v at (x.y) (1,0) dx,y function
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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…
Q: 2: Evaluate [G(x, y)dx, [G(x,y)dy and [G(x, y)ds on the indicated curve C. G(x, y) = x³y² + y² sin…
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Q: ZX = 24, XY = 10, and YZ = 26. Find cos Y. %3D
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Q: ƏT ƏT and dr 3. Find of function T = x²y – xy³ + 2; x = r cos 0 and y=r sin 0
A: We have to find derivative
Q: r(t) =(sin 3t, cos 31, V7t), 1. Let a) Find T(t) and N(t)
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Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e'; t= 0 T(0) : N(0) =
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Q: 2 (a) Find of the following functions: dx zxa+1cos y? = sin(yº + 22z) where A=2 C=6| 一
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Q: and y = - V 8) Let ze, where x = √uv and Find dz dy in terms of u and v.
A: Given: z=ex2y x=uv y=1v To find dzdv in terms of u and v
Q: Q\ Using modified Euler's Method to Find y (0.2) to the function f(x, y) = 5x+cos(y) where h-0.1, y…
A: The formula for the modified Eular's method is given by ym+1=ym+hfxm+12h,ym+12hf(xm,ym). To find…
Q: Select all the functions that solution of y"-y%=D0 are D A. y= e O Biy = e A C, y = x O D. y = COS…
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Q: əf. dy and In each of the following, find dx (n) f(x,y) = tan x tany %3D
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Q: 1. If H(y) = cos y – sin y, Find H (0), H (),H (1T), and also show that %3D + x) = H (T – x) = -H…
A: Given that H(y)=cosy-siny find H(0), Hπ2, Hπ Show that Hπ2+x=Hπ-x=-H-x
Q: Solve the following problems. Зху 1. Given that f(x,y, z) = e*' cos(yz). Find f , fw frvi: xyz ху
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Q: 8. Find the length of the given curve over the indicated interval. r(t)= (r', 3 cos(t), 3t) [] 0, 2
A: Given r¯(t)=t2,3cost,3t in the interval [0,π2]
Q: Find T(t) and N(t) at the given point. e' cos t, y = e' sin t, z = e'; t = 0 %3D T(0) %3D N(0) = %3D
A: Given vector x=etcost, y=etsint, z=etr→(t)=<etcost, etsint, et>
Q: H.W: find dz and əz | ди ὃν z = 4e* ln y, x = ln(u cos v), y = u sin v as functions of u and vif:
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Q: ZX = 24, XY = 10, and YZ 26. Find cos Y. %3D 5/12
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Q: 2. f(x, y) = sin(xy) + x² In(y) Find fx at (0, "½) a) 33 b) 0 c) 3 d) 1 +)
A: Given , f(x,y)= sin(xy)+x2ln(y) we have to find fyx at (0,π2)
Q: 12. Evaluate c Vx² + y² ds_along the curve r(f) = (4 cos t)i + (4 sin t)j + 3tk, –27 < t < 27.
A: According to the given information, it is required to evaluate the integral over the given curve.
Q: Q2/ Find ow/or if w = (x+y+z)³, x=r-s, y = cos(rs), z = sin(r + s) at the point (r, s) = (0,1)
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Q: Q5/ Find Vf for f(x, y, z) = e** cos z +(y+ 1) sin-x at the point (0,0, T/6)
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Q: N 1 1 202 2{(xn – µ)²}– z(Ord – r). n=1
A: Let y be a function of x and if a is a constant, then we know that ddx(a-x)2= -2(a-x). Here, we need…
Q: .3 *csy +a Sina, If f(x,y) = e which of the following is Correct ? A. fa(Z,4) = e*(o54+3x? Sinstaš…
A: differentiate partially with respect to x and y respectively.
Q: H.W: Find y, y"and. y" for the fullowing -2X -xe 3- y=a Sin 3X 一ズ 2.y=eInx 4.y= In(Sex. = In (Sex…
A: Topic- Derivative
Q: Find D (x, y, z) where f(x, y, z) = cos(z²)sin(y²) In the direction of v = (4, 15, 18). %3D Possible…
A: Introduction: The formula for the directional derivative of the function f(x,y,z) in the direction…
Q: find dw/ar if w = (x + y + z)?, y = cos(r + s), at the point (r, s)3(1,-1) x = r - s, z = sin(r + s)
A: Given w=(x+y+z)2 x=r-s y=cos(r+s) z=sin(r+s) point (r, s)=(1, -1) when we differentiate partially…
Q: If z = x2 + y?, x = e' cos(s) and y = e' sin(s), then %3D dz at (t, s) = (1,0) is as %3D
A: Given that z=x2+y2, x=etcoss and y=etsins First we have to find ∂z∂s.
Q: Given f(x, y) = 3x* cos (y), find COS fzy(x, y) = fyw (#, y) = | %3D
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Q: (d) +ỷ =0 dy dt (e) (f) d²y dt² d³y dt3 + sin(t + y) = sin t +t + (cos² t) y = t³ dy dt
A: To find out the order of the differential equation and also we need to write down that the…
Q: 5. Find L{f(t)} a. f(t) = sin?(t) + t b. f(t) = n² – 8e¬2t + (et + 1)² | c. f(t) = F, sin yt -cos…
A: As per our limit we can solve only first three subdivisions if you want the answer for other…
Q: Q1. If f(x,y, z) = cosh?(Vx² In y) + tan-(e2y²vz) + sec³(sin vVE In x²) Find fx, fy, fz» fyx
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Q: Given f(x,y,z) = cos(3xy) + sin(3z). Find fy(5,5,0). Leave your answer correct to two decimal %3D…
A: Partial derivatives
Q: 37. F(x, y, z) = xi + yj + zk C: r(t) = 2 cos ti + 2 sin tj + tk, 0 < t < 2n
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Q: Question 9
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Q: Find ∂w∂s and ∂w∂t when s = 1 and t = 2π for w = xy + yz + xz where x = s cos…
A: Given: w=xy+yz+xz where x=scos(t), y=ssin(t), z=t at s=1 and t=2π
Q: 9. Jer'y ds, C:x cos t, y sin 1, z = 1, 0<1s/2 %3D 77
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Q: If f(x,y) = sin(xy) +x² In(y) .Find fyx at (0,1/2) %3D а. 1 b. -1 с. О d. none of the above
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Q: 3 Evaluate F. dr along the curve C if F(x, y) = (x² + y²) ²(xi+yj), and C : r(t) = e' sin ti+ e' cos…
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Q: Given z= f(x, y) is differentiable and x= e' sint and y = e' cos t ôz a) Show that + + ду ôs b) Find…
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Q: 5. Given the equation xy = Arctan(ye*) where z is a function of a and y, Əz əz find and ar ду
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Q: dy when (cos x) = (sin y)* dx A Find %3D
A: Note: - Since you have asked multiple question, we will solve the first question for you. If you…
Q: E(z, t) = ex cos(@t – kz + Þ1) + ey cos(wt – kz + $2) = €;E× +e,Ey %3D
A: Consider the given equation: Where,
Q: The integrating factor of the LDE y =x-2ycotx is A cos?x B sin?x C sec?x D csc?x
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Q: Q#02;Evaluate |G(x, y)dx, [ G(x,y)dy and [ G(x, y)ds on the indicated curve C. G (x, y) = x'y² + y²…
A: We have to evaluate the following integral-
Q: e3x-y 2yx = t° In s , y = sin(ts). Find az Let function z x2y as
A: To solve the following
Q: (4) If z = f(r, y) where, a = e" cos v and y = e" sin v, show that (i) dz az e2u. (ii) az 2 2 dz -2u…
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Q: 5. Find Sp√x² + y² dr, where ř(t) = t cos t tsint Ost), 0 ≤t≤ 2π.
A: Given r→(t)=tcosttsint,0≤t≤2π. The objective is to find ∫Px2+y2dr.
Q: 6. Let r = t sin t, y = t cos t, 0<t<1. dy (a) Find dr
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Q: By about how much will h(x, y, z) = cos (paixy) + xz2 change if the point P(x, y, z) moves from…
A: The given function is,
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