Use the Chain Rule to find dw/dt. + y2 + z2 x = 5 sin(t), y = 7 cos(t), z = 6 tan(t) W = In

Q: 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…

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Q: Use the Chain Rule to find dz/dt. z = tan-1(y/x), x= et, y = 9 – e-t dz dt

A: Given query is to find the derivative of the expression.

Q: Find dw/dt using the appropriate Chain Rule. Function w = x sin y x = e", y = 1 - t Value t = 0 X =…

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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: dw Use an appropriate form of the chain rule to find dt 1 w = 6 cos xy – sin xz; x = t' y = t, z =…

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Q: Use the appropriate form of the chain rule to find the derivatives. w = 11x² + 11y² + z²; x = p sin…

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Q: dz Use an appropriate form of the chain rule to find dt 1 z = 2 cos x – sin xy; x = y = 8t t' Enter…

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Q: dw Use the Chain Rule to find where w = cos 8x sin 2y, x = and y = t*. dt 4' dw II

A: w=cos8x sin2y  , x=t4 and y=t4 dxdt=dt4dt=14 dydt=dt4dt=4t3   ∂w∂x=8 cos8x cos2y ∂w∂y=sin8x -2 sin2y…

Q: dz Use an appropriate form of the chain rule to find dt 1 8 cos x – sin ry; y = 9t t %3D SSEVS Enter…

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Q: dw Use an appropriate form of the chain rule to find dt 1 w = 9 cos xy – sin xz; x = y = t, z = t3…

A: We have to find

Q: dw Use an appropriate form of the chain rule to find dt 1 w = 4 cos ry – sin cz; x=÷, y = t, z= t8…

A: Given,           w = 4 cos zy - sinxz;            x = 1/t ,      y=t,        z= t⁸

Q: dw Use the Chain Rule to find where w = cos 12x sin 4y, x = - dt and y = t". 4 dw

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Q: Let w(x, y, z) = x² + y² + z² where x = sin(7t), y = cos(-3t), z = e-4t. dx dy dz dw dt dt' dt dt…

A: Given problem:- wx,y,z=x2+y2+z2,x=sin7t,y=cos-3t,z=e-4t Find dwdt

Q: Use the chain rule to find dz/dt or dw/dt.  Z=sinxcosy, x=t^(-1/2) y=1/t

A: First of all, put x and y in the form of t and get the value of “z” in the form of “t” only.

Q: Use the Chain Rule to find dz where z = 2x cos y, x=t, and y = 5t. dt dz dt (Type an expression…

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Q: Find aw/at using the appropriate Chain Rule. w = x sin y x = e', y = - t dw dt

A: Derivative

Q: dw Use an appropriate form of the chain rule to find dt 1 y = t, z = to w = 3 cos xy – sin xz3; t'…

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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: Use the Chain Rule to find dz/dt. z = sin(x) cos(y), x = /t, y = 5/t dz dt

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Q: d use the Chain Rule to calculate f(r(t)). dt f(x, y) = x² – 3xy, r(t)= (cos t, sin t), 1 = }

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Q: Use the Chain Rule to find dw/dt. In(Vx² + y² + z² ), x = 3 sin(t), y = 5 cos(t), z = 6 tan(t) W =…

A: We have to find the derivative  using chain rule.

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: dz Use an appropriate form of the chain rule to find dt 1 z = 9 cos x – sin xy; x : y = 4t t' Enter…

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Q: dz Use an appropriate form of the chain rule to find dt 1 z = 6 cos x – sin xy; x = y = 6t t' Enter…

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Q: dz Use an appropriate form of the chain rule to find dt 1 z = 9 cos x – sin xy; x y = 2t t' Enter…

A: This question is based on Derivative.

Q: Use the Chain Rule to find dz/dt or dw/dt. z=sin x cos y, x= √t, y=1/t

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Use the Chain Rule to find dw/dt. w = In Vx2 + y2 + z2 ), x = 4 sin(t), y = 6 cos(t), z = 5 tan(t)…

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Q: Use appropriate forms of the chain rule to find dz/ðu and dz/dv. Z = cos x sin y; x =u – v, y = u² +…

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Q: Use the Chain Rule to find dw/dt. w = In(V? + ° + z2 x = 3 sin(t), y = 2 cos(t), z = 5 tan(t) dw dt

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Q: Use an appropriate form of the chain rule to find dz/dt 1. 2 3xy; a r-t' and y

A: use partial derivative for finding drivative.

Q: dv dv 5. Use the Chain Rule to find and ds v = ln (2.x + 3y), where x = s sin t, y =t cos s %3D

A: Here, Givenv=ln(2x+3y)∂v∂x=22x+3y∂v∂y=32x+3yAlso, x=s sin(t)∂x∂s=sin(t)∂x∂t=s cos(t)y=t…

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

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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: Use the Chain Rule to find dw/dt. x = 6 sin(t), y = 2 cos(t), z = 9 tan(t)

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Q: dw Use an appropriate form of the chain rule to find dt 1 w = 8 cos xy – sin cz; x = y=t, z = t7 t'…

A: Here we have to find dw/dt by chain rule.

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

A: z=x2y+3xy4where x = sin 2t and y = cos t We need to find dzdt when t =0 Let's use the chain rule :…

Q: dw Use an appropriate form of the chain rule to find dt 1 w = 8 cos xy – sin xz; x = y = t, z = t³ t…

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Q: use an appropriate form of the chain rule to find dw/dt. w=6cosxy-sinxz; x=1/t, y=t, z=t^8. enter…

A: Given: w=6cosxy-sinxz x=1t, y=t, z=t8

Q: dz Use the Chain Rule to find : z = = cos(x + 4y),x = 5t*, y = - %3D dt

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Q: Use the Chain Rule to find dz/dt. z = x2 + y2 + xy,    x = sin(t),    y = 3et

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Q: dz Use an appropriate form of the chain rule to find dt 1 8 cos x sin ry; y = 9t t' Enter the answer…

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Q: Find the total differential. w = e3Y cos(5x) + z5 dw

A: The total differential of a function w= f(x,y,z) with continuous first partial derivatives in a…

Q: dw Find using the appropriate Chain Rule for w = cos(4x−4y), where x = tº and y = 3. dt

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Q: dw Evaluate at the given value of t, by using the Chain Rule, dt w = 2ye* - Inz, x = ln(t² + 1), y =…

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Q: Find the differential of the function. Z = e-8x cos(5xt) dz z = dx + dt %3D

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Q: dz Use an appropriate form of the chain rule to find dt 1 z = 8 cos x – sin xy; x = y = 2t t' Enter…

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Q: x²y + 3xy where x = sin 2t and y = cos t. Use the chain rule to dz when t = 0. 3. Let z = find dt

A: According to our guidelines we can answer only first question.

Q: Use the Chain Rule to find dz/dt. z = sin(x) cos(y),    x = The Square Root of t,    y = 8/t

A: Given: z = sin(x) cos(y),    x = √t,    y = 8/t By Chain Rule,

Q: dz Use an appropriate form of the chain rule to find dt 1 z = 8 cos x :- sin ry; y = 9t Enter the…

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.