dx Use the chain rule to find () in terms of x and y dy 2 y = ( and X = t2 at t= 2

Q: dz Use an appropriate form of the chain rule to find dt z = 2x°y; x = t8, y= t5 Enter the answer in…

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Q: dw Use an appropriate form of the chain rule to find dt w = 4 cos xy – sin xz; x y = t, z = t8 t'…

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Q: dz Use an appropriate form of the chain rule to find dt z = 4x°y°; x = t°, y = t8 Enter the answer…

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Q: dz Use an appropriate form of the chain rule to find dt = 2.0°y³; x = t°, y = t5 = Z Enter the…

A: Here, the given functions are: z=2x9y5,x=t8,y=t5 So, z is a function of x and y and x and y are…

Q: Use the chain rule to express dy /dx in terms of x and y y = sin t and t = cos x where t = 0

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Q: dz Use an appropriate form of the chain rule to find dt z = 7 cos x – sin xy; 1 y = 3t t' Enter the…

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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: use the chain rule to find dy/dx y=(u+1)2;u=1-x

A: Given:The chain rule of differentiation states that:Applying the derivative with respect to x and…

Q: dz 922 – 4y², x = 2 sec t, y = 3 tan t. Using the chain rule, find dt Given z =

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Q: dx Q2 / Use the chain rule to find ( ) in terms of x and y dy y = ( 2 1 1, at t2 t = 2 and X t + 1.

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Q: Q1-Use the chain rule to express dy / dx in terms of xand y: 1-1 a) y = аnd x = at 1= 2 1+1 b) y=1-…

A: Since you have posted multiple questions. I am answering the first one. Please post the question…

Q: dw where w = cos 8x sin 3y, x=- dt 5. and y=t". Use the Chain Rule to find 2

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Q: Q2) Use the chain rule to express dy /dx in terms of x and y y = sint and t = cos x where t= 0

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Q: dz Suppose that z = x³ – 3y?, x = 4(t³ – 1), and y = Int. Find using the Chain Rule. dt %3D -

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Q: Q9/ use the chain rule to express dy/dx in terms of x and y and choose correct answer. 1 x = t2 at t…

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Q: dz Use an appropriate form of the chain rule to find dt z = 8x"y³; x = t°, y = t Enter the answer in…

A: Topic :- Differentiation

Q: Use the chain rule to express dy /dx in terms of x and y y = sin t and t = cos x where t=0

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Q: dz 3 Use the Chain Rule to find where z= 2x sin y, x=t°, and y = 3t°. dt '

A: Given,           z=2xsiny , x=t5 and y=3t3.

Q: Find aw/as and ôw/at using the appropriate Chain Rule. Function Values w = sin(2x + 3y) X = s + t, y…

A: we have to find partial derivative by using chain rule

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

A: Derivative

Q: Compute dy/dx using the chain rule in formula. State your answer in terms of x only.  y = u3>2, u…

A: Given equations - y = u3+2           .....(1)                                                  In…

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 an appropriate form of the chain rule to find dz/dt. z= 8cosx-sinxy; x=1/t, y=3t

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Q: use the chain rule to find dz/dt, where z=x sin y, x=t^5, and y=5t^2 please show steps

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Q: dz Use an appropriate form of the chain rule to find dt 1 z = 4 cos x – sin xy; x y = 7t t' Enter…

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Q: dw Use the Chain Rule to find dt w = x²e²y cos(32), x = cos t, y = In (t + 2), z = t

A: The chain rule states that the derivative of f(g(x)) is f'(g(x))⋅g'(x).

Q: Q4) Use the chain rule to express dy /dx in terms of x and y t2 y = t2+1 and t = 3x3 – 3 where x =1

A: Given y=t2t2+1 and t=3x3-3 and x=1

Q: dz Use an appropriate form of the chain rule to find dt 1 z = 4 cos x – sin xy; x = y = 7t t' Enter…

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Q: Find dy/dx if y = x^3/2 by using the Chain Rule with y as a composition ofa. y = u3 and u =…

A: a) y=u3 and u=x     dydu=3u2anddudx=ddxx       =12x-12 So, dydx=dydu×dudx      =3u2×12x…

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: Use the chain rule to express dy /dx in terms ofx and y y = sin t and t = cos x where t = 0

A: using chain rule

Q: Q4) Use the chain rule to express dy /dx in terms of x and y y = sin t and t = cos x where t = 0

A:

Q: dz Use an appropriate form of the chain rule to find dt z = 4x°y³; x = tº, y = t" Enter the answer…

A: From the given problem: z=4x6y3 ; x=t8 , y=t7 Now apply the chain rule.…

Q: dz Use an appropriate form of the chain rule to find dt z = 20°y®; x = tổ, y = t10 Enter the answer…

A: Given, z = 2x9y6  x = t3 y = t10 Using the chain rule, we have to find dzdt.

Q: Use the Chain Rule to find dw/dt. w = In Vx2 + y2 + z2 x = 2 sin(t), y = 5 cos(t), z = 4 tan(t) dw…

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Q: dz Use an appropriate form of the chain rule to find dt z = 7 cos x – sin xy; 1 y = 7t Enter the…

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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: Jse the Chain Rule to find and 0z when z = exy sinx,x = 2s and y = s +t as at

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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: Use the chain rule to find dz/t. z = x² + y² + xy, x = sint, y = et

A: Here we will find dz/dt,

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: dw Q11- express by using the chain rule: dt w = ln(x² + y² + z²) x = cost, y = sint, z = 4√t

A: We have to express dwdtby using the chain rule:

Q: äbäi 14 Q) Use the chain rule to express dy / dx in terms of x :and y for the following y = 1- t 1…

A: Given y=1-1tt=11-x Thus dydt = ddt1-1t= ddt(1)-ddt1t= 0--1t2= 1t2 and dtdx = ddx11-x=…

Q: dz Use an appropriate form of the chain rule to find dt z = 3 cos sin ry; y = 7t Enter the answer in…

A: Here, the given functions are: z=3cos x-sin xy; x=1t, y=7t

Q: If z = e* sin y, where x = s?t2 and y = s²t, by using Chain Rule find ôz/ðs and az/dt.

A: Let's find.

Q: Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx)  y = 6u3,u = 7x…

A: To find dydx bu using Leibniz's notation for the chain rule: dydx=dydududxy=6u3, u=7x-4

Q: Q2) Use the chain Rule to find dw\dt of y w = =+2,x = cos²(t), y = sin² (t), z =, at t = 3

A: In this question,w is function of x,y,z and x,y,z are the function of t so first we find out…

Q: Find dy/dx if y = x by using the Chain Rule with y as a compositionof y = 1 + (1/u) and u = 1/(x -…

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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.