w = x² + 5y t = 2 x = 2t, y = t

Q: Find the convolution f (t ) *g(t) f(t)=t,g(t)=e^at

A: By definition of convolution, we have

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

A:

Q: Use the Chain Rule to find ∂z/∂s and ∂z/∂t. z = er cos(θ),    r = st,       θ =    s8 + t8

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Q: Use an appropriate form of the chain rule to find dz dz and du dv 1 z = e"u; x = Vuv, Enter your…

A: Here z is function of x,y and x,y are themselves functions of u,v .so z is composite function of…

Q: Let f(x, y) = 2xe¯y, r(t) = (9r²,t² – 4t). Use the Chain Rule to calculate f (r(t)) at the value t =…

A: Given: fx,y=2xe-y and rt=9t2,t2-4t To find: ddtfrt at t=0.

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: dw and dr dw Use the Chain Rule to find if r 3, s 4, and t 0. dt x=re", y = se", z = t %3D

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Q: Use the chain rule to find and , where as z = x² + xy + y, x = 6s + 9t, y = 5s + 8t %D First the…

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Q: Find the convolution f (t ) *g(t) f(t)=e^at,g(t)=e^bt

A: By definition of convolution, we have

Q: f(r(t)). dt Use the Chain Rule to calculate f(x, y) = 5x – 2xy, r(t) = (t², t² – 4t), t = 4 dfr(t):…

A: Given: ,, Find at t=4.

Q: du Use the Chain Rule to find dp x +y y +z x = p+ 6r + 5t,y p- 6r + St, z =p + 6r - 5t O a. du 5t…

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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: Use the Chain Rule to find dw/dt. w = xeylz, x = t°, y = 7-t, z 8 + 9t %3D dw %3D dt Need Help? Read…

A: Given: W=xeyz ,x=t5,y=7-t,z=8+9t   dwdxt=dwdx×dxdt+dwdy×dydt+dwdz×dzdt ....(1) Now by given…

Q: Find d using the appropriate Chain Rule for w =x+v? where x 6t and y= 4t. 2 156t 44t 80 t 104 t 52t

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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: Find aw/ds and aw/ot using the appropriate Chain Rule. Function Values w = y - 6x3y x = e, y = e s =…

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Q: use an appropriate form of the chain rule to find dz/du and dz/dv.  z=e^(5x^2y); x=(uv)^(1/2),…

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Q: Use the Chain Rule to calculate dt f(x, y) = 5x – 2xy, r(t) = (t2, t - 4t), t = 4

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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: d evaluate r(g(1)) using the Chain Rule. dt r(t) = (e' , e21 , 4), g(1) = 4t +9

A: Given that rt=et, e2t, 4 and gt=4t+9 We have to find ddtrgt using chain rule.   The chain rule is…

Q: Use the Chain Rule to find ∂w∂s and ∂w∂t for w = 2xy where x = s2 + t2 and y = st.

A: Consider the given: w=2xyx=s2+t2,y=stw=2s2+t2stw=2s3t+stPartially differentiate w.r.t.…

Q: Use an appropriate form of the chain rule to find the d R= e9s-ť°. s = 5¢, t = 4'/2 %3D dR %3D dø

A: Given that: R=e9s-t2s=5∅t=∅1/2

Q: Let r(t) = 15t? + 72t, ( 6t 4/26t3/2 for t20. Find the length %3D of the trace of r from t 0 to t =…

A: Arc length in 3d To determine the length or length of trace of a curve given by  a vector…

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: Əw Find Ət using the appropriate Chain Rule for w = x² + y² + z² where x = 10rsin(s), y = 10tcos(s),…

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Q: use the chain rule to find zこx2xy-2, X=e' 2$+t ト

A:

Q: |F V = v = xsin(y) + ye" where x = s+ 2t and y = st Use the chain rule to find and- ds Ət when s=0…

A: To find the dv/ds and dv/dt using partial derivatives.

Q: Consider the functions f: R2→R2 given by  f (x,y) = ( 5y−3x, x2)   and g: R2→R2 given by g (v,w)…

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Q: Let z = r'y-y³, where r 3s- 4t and y = 2s+5t. Use the Chain Rule to find that your final answer is…

A:

Q: dz Use the Chain Rule to find when = a? + xy + y², z = nd = 2s – t, y = st. || |

A: SOLUTION-

Q: dw For the functions w = xy + yz + xz, x= u+ 3v, y =u- 3v, and z= uv, express and using the chain…

A: Given  w=xy+yz+xz, x=u+3v, y=u-3v, z=uv

Q: dz Let z = Vx2 + y?, x = s2 - t2, and y = 2st. Find az and at using the Chain Rule. as

A: Given, z=x2+y2, x=s2-t2  and y=2st

Q: Write a chain rule formula for the following derivative. for w = f(p, q, r); p = g(t), q = h(t), r =…

A: Here, w=f(p,q,r), p=g(t), q=h(t) & r=k(t) So,

Q: Let z = (y - 2x) ³, where x = s′ s²t and y = st². Use the Chain Rule to dz find when s = 2 and t =…

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Q: Find w using the appropriate Chain Rule for w =x+y+z? where x 10tsin s, y 10tcos s, and 2 8s Z 9st2.…

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Q: &w Given w = xysin( z?), x = s- t, y = s?, z = t2. Use the Chain Rule to find St 2.

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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: Q.2 Let R = e2s-t2; s = 30 , t = Ø?/2 . %3D dR appropriate form of chain rule to find dø Use an

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Q: z = (x + y)², x = s²t, y = st². Use the Chain rule to find dz ds for t= 1 and s = 2.

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Q: Find z'(t), where z = In (x + y), x = 2t e', and y = 5e', in the following ways. a. Replace x and y…

A: follow next step

Q: Find ôw/ðs and ôw/dt by using the appropriate Chain Rule W = xyz, X = s+ 3t, y = s - 3t, z= st? dw 3…

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Q: W = xyz, X s + 3t, y = s - 3t, z = st? (a) Find dw/as and @w/@t by using the appropriate Chain Rule.…

A: As per the guidelines we can solve 1 problem only.

Q: dy in terms of a da Use the Chain Rule to find y = (u – 2)3 and 1 27 + 1 u%3D

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Q: dy If y = 4u? – 3u + 2 ; u = e* + 2e2x, find by using chain rule. - dx

A: Image is attached with detailed solution.

Q: dz Choose the correct chain rule formula for below. ds O A. dz dz òm ds- dm ds O B. dz am òm dz ds…

A: These are two different questions, as per the guidelines only one question is allowed which comes…

Q: Use the Chain Rule to find az/əs and əz/ðt. z = (x - y)7, x = s?t, y = st? əz as əz at II II

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Q: Let z = √√√7xy +9y, and x = s³ and y = 1². Use Chain Rule to find dz when t = 1 and s = 2. ds

A: To find out the given partial derivative.

Q: dz and du dz Use an appropriate form of the chain rule to find dv 1 z = e3x*y; x = Vuv, y=- Enter…

A: This question is based on Partial diffrentiation.

Q: 9 Find if y = 7x by using the Chain Rule with y as a composite of the following. dx a. y = 7u° and…

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Q: dz Use the chain rule to find when %3D and s=2 t=1· - ds z=3x+4y, x=s³r?, _y=s²

A: I am going to solve the given problem by using some simple calculus to get the required result of…