Use an appropriate form of the chain rule to find dz/de 1. z = 3x?y; a =t and y = t? 2. z = 3 cos a – sin æy ; x = + and y = 3t 3. z = el-zy ; x = ti and y = t³

Q: DETAILS SCALCET9M 14.5.015. az az Use the chain rule to find and as at sin(0) r = st, 0 = s7 + t7 az…

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Q: Use the appropriate form of the chain rule to find the derivatives. w = 3x? + 3y2 + z²; x = psin o…

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Q: Use the Chain Rule to find dz/ds and dz/ot In(3r + 2y), a = s sin t, y = t cos s.

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Q: Use the appropriate form of the chain rule to find the derivatives. 3x? + 3y2 + z2; x = p sin o cos…

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Q: in term of t, if w -+, x= cos t,y sint and z in term of t. if w = xy, x = cost and y = sint, whent=.…

A: 4. Given data is : w=xz+yz , x=cos2t , y=sin2t  and z=1t To express dwdt in terms of t

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: Use the Chain Rule to find dw/dt, where w = sin 8x cos 2y, x = t/2 , and y = t4 dw/dx (Type an…

A: Please see the explanation below

Q: az and dz Use the chain rule to find as at sin(0) r = st, 0 = s9 + t° %3D as az at

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Q: Consider the following. w = cos(x − y),    x = t2,    y = 21 (a) Find dw/dt by using the…

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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 = 17 sin v…

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Q: .....E E 行 az Əz and at Use the chain rule to find as z = In(3x + 5y), x = s sin(t), y = t cos(s) az…

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Q: 3. Let V = e" cos(qr), with p = x In(xyz), q = z cos(ry) and r = 2 tan-(y). By using the chain rule,…

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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: 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: dw where w sin 8x cos 3y, x= dt Use the Chain Rule to find 2 and y = t". dw dt (Type an expression…

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Q: Use the appropriate form of the chain rule to find the derivatives. w = 3x? + 3y2 + z²; x = p sin o…

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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: Find and using the chain rule, if uw = In(x² + y*), x = e" sin(u), and y = e" cos(u). w%3D

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Q: For the functions w = 8x + 3y, x= cos t, and y = sin t, express dw as a function of t, both by using…

A: The given function is w=8x2+3y2, x=cost and y=sint. We have to express dwdt as a function of t.…

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: Use the Chain Rule to find əz/əs and dz/Ət. (a) z = x?y°, x = s cos t, y = s sin t (b) z = 4e" In y,…

A: (a). In this question given that - Z= x2 y3 ,  x = scos(t) , y = ssin(t) And find derivative of this…

Q: 3. Let z = x?y + 3xy+ where x = sin 2f and y cos t. Use the chain rule to dz find when t = 0. dt

A: As indicated in the question, we will make use of chain rule of differentiation. Recall that the…

Q: 1 Find 는 dx by using chain rule, if f = u + u = T x , at x = = 4 cos?u

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Q: as and dw/t using the appropriate Chain Function Values W = sin(4x + 5y) X = s + t, y = s – t %3D TC…

A: Given  w=sin4x+5y   x=s+t       y=s-t

Q: Use the Chain Rule to find ôz/as and az/ðt. z = x°y5, x = s cos t, y = s sin t az as az at

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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: 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: Use the appropriate form of the chain rule to find the derivatives. w = 3x? + 3y² + z²; x = p sin ø…

A: Given:   w = 3x2 + 3y2 +z2  x and y and z values is given

Q: dz dz (a) Write down the formula for and when z f (x, y), x = x(s, t) and = y(s, t). ds dz (b) Use…

A: The detailed solution is given in the attached Handwritten notes.

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: dy If y = tan t , x = tan? t ,Find by using Chain Rule dx at t =

A: Let the two functions are xt and yt. The chain rule to find dydx is given by the following formula.…

Q: dz Use chain rule to find at (s, t) = (0, 1) if ds z = 6x + y² tan e – st, y = s² – ť. x = ebs

A: Consider a function of multivariable where and . Then according to the chain rule for…

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: dz dz and du Use an appropriate form of the chain rule to find dv' z = =; x = 14 cos u, y = 5 sin v…

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Q: Consider the following. w = y? - x, x= cos(t), y = sin(t) dw by using the appropriate Chain Rule. dt…

A: given: w=y2-x, x=cos(t) and y=sin(t) (a) we have to find the value of dwdt by using the appropriate…

Q: dz dz and dv Use an appropriate form of the chain rule to find du 1 = Z = e&z*y; x = vuv, Y =-

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Q: Suppose u = er sin (p), p= sin(3x), q = z² In(2y) , and r = ?. Assume that –7/6 < x < «/6. Compute…

A: Partial differentiation is termed as the differentiating function with respect to the single…

Q: 1. Given the following information use the Chain Rule to determine = cos(yz") z=t- 2t, y- 1-

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Q: (b) Determine the by using the Chain rule with the following information: z = cos (x"y^) – sin (z +…

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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 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…

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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: Consider the following. w = y? - x = cos(t), y = sin(t) х, dw (a) Find W by using the appropriate…

A: Given, w = y2 – x, x = cos(t) and y = sin(t) and we have to calculate the derivative of w (a). Using…

Q: Find dwdt using the appropriate Chain Rule. Evaluate dwdt at the given value of t.

A: to find dwdt

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: 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.