Use a chain rule to find the values of az dz and Or Ir=18, 0=n/6 |r=18, 0=r/6 if z = xye"/y, x = r cos 0, and y = r sin 0. NOTE: Enter the exact answers. ar Ir=18, 0=r/6 dz Ir=18, 0=x/6

Q: Let V = eP cos(qr), with p = x In(xyz), q = z cos(Ty) and r = 2 tan-(y). By using the chain rule,…

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Q: Find the length of the path over the given interval. (sin 3t, cos 3t), 0 ≤ t ≤ π

A: xt, yt=sin3t, cos3t,   0≤t≤π Here, xt=sin3t,  yt=cos3t Now differentiating with respect to t, we get…

Q: Given f(x,y,z) = cos(4xy) + sin(4z). Find f,(8,9,0). Leave your answer correct to two decimal…

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Q: 3. Find dy, where; a) cos(ry) - e 2 elx+y). b) ė?+ Ptany =4, u= xlax (use chain rule)

A: We have to find the derivative

Q: dz dz Use an appropriate form of the chain rule to find and du dv х — 2 сos u, у %3 5 sin v Enter…

A: Solve the given

Q: Given z = sin(x + y) – sin(x – y). (a) Find dz (b) Let z be given in the part a) and let r = t2, y =…

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Q: Given f(x,y,z) = cos(4xy) + sin(2z). Find f,(1,2,0). Leave your answer correct to two decimal…

A: We can find the answer as below.

Q: Calculate the length of the path over the given interval. (sin 4t, cos 4t), 0 <t <T

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Q: S cos“C)dy

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Q: and as Use the chain rule to find sin(6) r = st, 0 = s + t3 dz as

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Q: (t – sin t)v1 – cos t dt

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Q: b) Describe, the motion of a particle with position (x,y) as t varies in' tthe given interval X= 5+…

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Q: 5. DETAILS SCALCET9M 14.5.015. az az and as at Use the chain rule to find sin(8) Z = r = st, 0 = s3…

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Q: Given f(x,y,z) = cos(3xy) + sin(3z). Find f,(8,2,0). Leave your answer correct to two decimal…

A: Partial differentiation of f(x,y,z) with respect to x is calculated by treating y and z as…

Q: 3. Let V = e cos(qr), with p = x ln(xyz), q = z cos(лy) and r = 2 tan−¹(y). ᎧᏙ By using the chain…

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Q: az az and at as Use the chain rule to find sin(0) r = st, 0 = s6 + az as az at

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Q: dz dz and dv Use an appropriate form of the chain rule to find du z = =; x = 16 cos u, y = 15 sin v…

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Q: dw Use the Chain Rule to find , where w = sin 8x cos 4y, x= dt , and y = t. dw dt (Type an…

A: Given w= sin(8x)cos(4y), x=t/2 , y=t3

Q: Use a chain rule to find the values of dz dz and dr Ir=6, 0=n/6 Ir=6, 0=n/6 if z = xye"/y, x = r cos…

A: In this question  we have to find the value of differentiation.

Q: Hence, using chain rules find y' i. y = sin(2x² + tan(6x² – x)),hint: u = 2x² + tan(6x² – x) ii.y =…

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Q: The function z = r' y is defined on the astroid r = cos 0, y = sin 0 where 0 < 0 < 2ñ. Use the dz…

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Q: ind c, and c2 so that y(x) = c, sin x+ c2 cos x will satisfy the given conditions. Determine whether…

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Q: Use an appropriate form of the chain rule to find and if z = xe" , x = 2uv , ди y = sin(uv). You…

A: By using the definition of  chain rule for two independent variables we find the value of ∂z∂u, and…

Q: Qq / show thot ifa is a constont then, u(X,t) = sin lat) cos (x) is a solution to

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Q: az az and du #6. Use the Chain Rule to determine given that av z = x sin (y? – x) x = 3u – v?, y =…

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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: dz dz and du appropriate form of the chain rule to find dv x = 14 cos u, y = 13 sin v rour answers…

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Q: Suppose that w = x² + y? + z², x = cos 0, y = sin 0, z = tan 6. Use the chain rule to find dw when 0…

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Q: Suppose z = a? sin y, x = -s? – 5t², y = 8st. az and A. Use the chain rule to find as functions of…

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Q: The function z = cos 0, y = sin³ 0 where 0 < 0 < 27. Use the x2 Vy is defined on the astroid x = dz…

A: The chain rule is stated as follows:

Q: 3. 2.m (ris, t)= e cos (25) y= h(ris, t)- e sini (s) %3D + そ人メ+ (てん「以) =1 け! ne Use chain rule to…

A: Given, u=fx,y,z=x3+xyz+z2x=gr,s,t=e2rcossy=hr,s,t=e2rsinsz=mr,s,t=ercos2s To find: ∂u∂s Formulas…

Q: dz Use a chain rule to find the values of az and Or\r=16, 0=r/6 Ir-16, 0—т/6 xye/4, x = r cos 0, and…

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Q: 3. Given that z = e" cos (), u = 4e2" – sin 2y, v = e" + n tan r. COS - Use chain rule to find dz/ðx…

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Q: Under what conditions for the contants a,b, k,e =) is (aa+by) da + (ka + ly) dy = 0 exact? Solve the…

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Q: Calculate the length of the path over the given interval. (sin 3t, cos 3t), 0 <t<+

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Q: 3. Let V = e" cos(qr), with p= r In(ryz), q = z cos(ry) and r = 2 tan-(y). Ae when r= y = 2 = 1. By…

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

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Q: Cos X 2)

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Q: Given x(r, 0) = r cos 0 and y(r, 0) = r sin 0 then use the chain rule to write f(r cos 0, r sin 0).

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Q: az az and as Use the chain rule to find at sin(8) r= st, 0 = s3+ t3 %3D

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Q: dr Solve the given differential euation: + rtan 0 = 7cos0. de %3D r = (70 + C') cot0 Or = (70 + C)…

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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: If w = Vr + y² + zª where r= sin(0), y = cos(@) and z = Use the Chain Rule to find tan(@). dw when…

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Q: Use the Chain Rule to find az/as and az/at. (Enter your answer only in terms of s and t.) z = sin(0)…

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Q: Let z(x, y) = xy where x = r cos( 40) & y = r sin(0). dy dx ar dy dz Calculate ar dz by first…

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Q: 2 tan-1(y). x In(xyz), q ƏV when x = y = % = 1. ду Let V = eP cos(qr), with p = z cos(TY) and r = By…

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Q: dz and du dz Use an appropriate form of the chain rule to find dv z = -; x = 14 cos u, y = 13 sin v…

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Q: . Let z = x2 – x*y where x = r sin 0 and y = r cos 0. az and ae az Use the chain rule to find ar…

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Q: dz az Use the chain rule to find and as sin(8) r = st, 6 = s + t3 = az %3D as az %3D

A: Given:- z=sinθrr=stθ=s3+t3 To find:- ∂z∂s and ∂z∂t