E valuate f win Tydy tyxdx olE Cethe line seqment f&Om (0,2) to

Q: Use the Chain Rule to find dw/dt. w = xey/z, x = t7, y 8-t, z = 2 + 5t dw dt

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Q: can Calage the falcon ve limidsf ing limids o fCx)= Sx?7XH5 he fol lím lim X. Part) has heiri zayeal…

A: Given limit is limx→∞f(x)=limx→∞5x3-7x+15-2x4+8x+10 Dividing both numerator and denominator by x4 .…

Q: Use the Chain Rule to find dw/dt. w = xeYlz x = t°, y = 5 - t, y = 5 – t, W z = 1 + 6t

A: We will use chain rule for partial derivative  Here w is a function of x ,y,z   => w= f(x,y,z)…

Q: y"(t) – 4y'(t) + 5y(t) = e"U (t – 2), %3D

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Q: (a) f(x,y) = (x² + 1)e" (b) g(w, z) = w? + 22 (c) h(x, y, z) = vT² + 3y – xyz²

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Q: Find (au / ay) at the point (u,v) = (√6, − 1), if x = u² + v² and y= uv. ди (2) (Simplify your…

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Q: Use the Chain Rule to find dw/dt. w = xey/z,    x = t3,    y = 4 − t,    z = 3 + 7t

A: To evaluate the derivative of w , given as function of x,y and z,each of which is a function of t.

Q: ) Find an equetionof tue tenyent line to the greph of d= In(x') at the point (l,0). Angwery8 a) y*-5…

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Q: Given f(r, y) = yln(5z+ y), find .(e, v) - 1,(2, u) = %3D

A: We have to find derivative

Q: For f(x, y) = e3r – y, find a. f. Preview b. fy = Preview c. f„(2,0) = Preview d. f,(1, 1) = Preview

A: Given function is

Q: Let f(x, y) = x2 /(y2 + 1). Use the Linear Approximation at an appropriate point (a, b) to estimate…

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Q: E valuate / (x² + iy³) dz, where C is the straight line from z = 1 to z = i. %3D

A: We have to evaluate ∫Cx2+iy3dz, where C is the straight line from z=1 to z=i. Since we have z=x+iy…

Q: iven T: R2 -> R2, where T(x,y) = (x,y2), Is T linear? Explain.

A: Given: To explain the given statement as follows, R2 + R2, where T(x,y) = (x,y2).

Q: Use the Chain Rule to find dw/dt. xey/z, x = t3, y = 8 – t, z = 3 + 6t W = dw dt

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Q: Evaluate F.dr where F(x, y) = xy i + e*j and C is the line segment from (2, 0) to (4, 0). а) 0 b) 2…

A: a) 0 is correct.

Q: Jw and dw for w = f(x, y), x= g(r), y= h(s) ds %3D 23. dr

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Q: Use the Chain Rule to find dw/dt. w = xeylz, x = t5, y = 8 t, z = 6 + 9t

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Q: f(z, y) = 2 + + 8y? %3D (x, y)D dy dz , y) = (2, y)

A: Given function is fx,y=2+x2+8y2. Differentiate fx,y=2+x2+8y2 partially with respect to x.…

Q: VW || XZ. Find VY. V 12 W Y 24 12 VY = %3D Submit w/

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Q: Find the ic by using Least cost Method? Di Dz D3 Dy supply 10 20 %3D 15 12 7) 20 2, 25 14 16 18 15…

A: D1 D2 D3 D4 supply S1 10 0 20 11 15 S2 12 7 9 20 25 S3 0 14 16 18 15 Demand 15 15 15 10…

Q: Use the Chain Rule to find dw/dt. w = xevlz, x = t, y = 4 -t, z= 9 + 2t 4xv dw 7,6 dt

A: Given that      w = xey/z , x = t7 , y = 4-t , z= 9+2t Here we have to find  dw/dt

Q: Use the Chain Rule to find dw/dt. w = xeylz, x = t°, y = 3 - t, z = 7 + 6t dw dt

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Evaluate I JC F. dr. F(x, y) = xi + yj C: r(t) = (7t + 4)i + tj, W 0 ≤t≤ 1

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Q: .2 y = x", y = 2x, about the line x = 0 using the method of disks or washers. 4 Volume…

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Q: Consider Flx,y) = (3x2 +6y) i t (6x +4y%)j. (as Show that Fis lonservative a function Such Line…

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Q: Calculate fw(-1, 2, 0, – 1) where f(x, y, z, w) = xy²z – xu? – e2²-y²–2²+2w=

A: Given that fx,y,z,w=xy2z−xw2−e2x2−y2−z2+2w2 To calculate: fw−1,2,0,−1

Q: (b) Let Y"(t) +2Y'(t) + Y(t) = 3tet, Y(0) = 4, Y'(0) = 2. Then find Y(1). %3D

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Q: Let f(x) = x“.4x3 Find the derivatine of P (x) and the points, (X,y), where te tingent line is…

A: f(x) = x4 - 4x3f'(x)=ddx(x4 - 4x3)f'(x) =4x3 - 12x2

Q: Let f(x, y) = (5x – y)*. Then %3D дхду Эхдудх dx² dy

A: Partial derivatives: It is a derivative of a function of two or more variables with respect to one…

Q: Determine whether ZY || VX. Justify your answer. WY=5, YX= 12.5, WV=15, and WZ=4. Y V

A: To determine: Whether ZY∥VX or not. Given: The values are WY=5, YX=12.5, WV=15 and WZ=4. Concept…

Q: 2. Ostain the geweval folu fion a. my = nxydx b. (@ x*+y') = {ry y' c. xy = Y(x* + sy) y' %3D

A: Given differential equation is as  my2=nxydx/dy  Note : without introduction of dy whcih cant…

Q: Use the Chain Rule to calculate dt (r(e)). f(x, y) = 3x – 2y, r(t) = (t°, t°), t = 2 (2, 8), t = 2

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Q: Find the Jacobian a(x, y) / a(u, v) for the indicated change of variables. v), y = (u + v) X = -

A: The formula for the Jacobian is: ∂(x,y)∂(u,v)=∂x∂u∂x∂v∂y∂u∂y∂v

Q: E Valuate tla tollowing eR the up pes halt o the aocle ot sadrue 2 fxom (@, 0)tow R,0) compute fydhs

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Q: Use the Chain Rule to find dw/dt. w = xevlz, x = t, y=7 - t, z = 5 + 7t dw dt

A: To find the derivative using chain rule

Q: For f(x, y) = e3r +y, find Preview a. fr b. Jy Preview Preview c. f„(1, 1) = Preview d. f,(1, 1) =

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Q: Let f (x, y) = csc(x + y³) ey , find дудх

A: The given function is  f(x,y)=csc(x+y3)exy. The main objective is to evaluate ∂2f∂y∂x.

Q: y = x', y = 4x, x > 0 about the line y = 0 using the method of disks or washers. 2 Volume…

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Q: Evaluate F.dr where F(x, y) = xy i+ej and C is the line segment from (2, 0) to (4, 0). a) 0 b) 2 c)…

A: Consider the given information. Fx,y=xyi+exj and the line segment is from 2,0 to 4,0. Now, write the…

Q: Find the linearization of f(x,y) at the indicated point (Xo,Yo). f(x,y) = /x +2y; (4,7) L(x,y) =

A: Given:- f(x, y) =√x+2y To find:- linearization of f(x,y) at the indicated point (xo.Yo). f(x,y)=√√x…

Q: Find ∫C  ez / (z - πi) dz where C is defined as z(t) = 4eit and 0 ≤ t ≤ 2π.

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Q: dz and Use the chain rule to find du for z = 4x?y3 – 2x² + 3y where x = uv and y = u –- v

A: Given, z=4x2y3-2x2+3ywherex=uv and y=u-v

Q: Let f (x, y, z) = xy + z. Calculate - df/ds, where as x=s2 , y=st, z=t2

A: Given f(x,y,z) =xy+z , x=s2 , y=st and z=t2. We need to calculate -df/ds.

Q: dr F(r, y, 2) = e*i+ xe*¥j+xye*y*k_r(t) = ti + tj+ t³k 0<t<1 Evaluate where

A: The parametric representation of the curve is, rt=xi+yj+zk=ti+t2j+t3k thus, the parametric…

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

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Q: Evaluate c (xy + y + z) ds along the curve r(t) = 2ti + tj + (4 – 2t)k, 0st<1.

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Q: f(z, y) – zsiny +e, then Vf(r, y) (0, e").

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Q: r(2,4) Sa (2y+x) dx +(3x– y)dy} along the straight line x-2t and Evaluate J(0,3) y=P+3.

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Q: Let f(x, y, z) = 3x?y+ yz3, where x = 3 – t2, y = 2t + t3, and z = V1+ 3t. Calculate when t = 1.

A: NOTE: Refresh your page if you can't see any equations. . here we have . the given function is…

Q: f (x, y, z) = xªe²y+æ² zy? – 5zæy³ | af af af dx ' dy' dz Determine

A: