dz Use an appropriate form of the chain rule to find dt 1 z = 6 cos x – sin xy; x = y = 6t t' Enter the answer in terms of t. dz dt

Q: Show that the 2-D Heat Equation dx² ди becomes ди if x = es cos w and y = es sin w. You ma dt dy?…

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Q: integrate t2 sin(2t) dt from 0 to 8pi

A: We will  Integrate by parts using the formula:              ∫u v dx = u∫v dx −∫u' (∫v dx) dx.

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2nx - 1 cos 2 dy = ||

A: topic - derivative and differential equation

Q: Let y = tan(5x + 4). Find the differential dy when x = 5 and dæ = 0.4 Find the differential dy when…

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Q: The order and degree of the partial differential equation respectively 6 9. dz + sin x = xy? is_ %3D

A: Given,          ∂4z∂x46+∂z∂x9+sinx=xy2

Q: Solve the differential equatons x(2y + In ax) dy + (x+y)dx when x=3 y=Ź y= 2 1.

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 3x2 - 5 dy =

A: Given, y = 3x2-5  We have to find the differential dy for the given function

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = In (√9-x²) dy =

A: Given: y=ln9-x2 To find the differential dy

Q: Let y = tan(2x + 3). Find the differential dy when x = 1 and dx = 0.1 Find the differential dy when…

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Q: Let y tan(5x + 8). Find the differential dy when I = 5 and dr 0.1 Find the differential dy when I 5…

A: y=tan(5x+8)Differentiate on both sidesdy=sec2(5x+8)×5×dxSubstitute x=5  , dx=0.1…

Q: Find the differential dz of the function f(z, y) = 4g²+z*y – 2xy and use it to approximate Az at…

A: Consider the given information:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 8x2 – 2 dy =

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Q: 2x,x X, +X, Find the total differential dy, given

A: Introduction: On an open set S, let z=f(x,y) be continuous. Changes in x and y are represented by dx…

Q: 4. u = xz siny + yz cosx + xy tanz

A: Given,  u=xz sin y+yz cos x+xy tan z

Q: Let y = tan(4x + 6). %3D Find the differential dy when x = 5 and dx: 0.4 %3D Find the differential…

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Q: Find the total differential. w = e3y cos(5x) + z5 ||

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Q: Find the change in y, Ay when x = 3 and Ax = 0.3 Find the differential dy when x = 3 and dx 0.3 %3D

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = - cos( 7x - 1 dy =

A: We have to find dy for the given function y=17cos7πx-12.

Q: Find the differential dy of the glven function. (Use "dx" for dx.) 7 y = 3Vx + dy =

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Q: Let y = tan(2x +5). %3D Find the differential dy when x = 5 and dx 0.4 Find the differential dy when…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 8Vx + dy

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Q: Let y = tan(3r + 5). Find the differential dy when x = 3 and da = 0.1 Find the differential dy when…

A: Here we need to use chain rule of differentiation to find dy. According to chain rule,…

Q: Find the differential dz of the function f(x,y)=4y2+x2y−2xy and use it to approximate Δz at point…

A: Find the differential dz of the function f(x,y)=4y2+x2y−2xy and use it to approximate Δz at point…

Q: Let y = tan(3x + 6). Find the differential dy when x = 2 and dæ 0.2 Find the differential dy when x…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 4 y = 8V dy

A: We can make it easier for you.

Q: 87. Find the value of dy/dt at t = 0 if y = 3 sin 2x and x = t+pai

A: Given, y=3sin2x,  x=t+π y=3sin2t+2π we know, sinA+B=sinAcosB+cosAsinB sin2t+2π=sin2tcos2π+0=sin2t…

Q: Find the differential dy of the given function. dy sec x x² +9

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Q: Find the differential dy of the given functions . (Use "dx" for dx.) a) y = 2x − (sin(x))2 b)…

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Q: dx + 3x = cos(5t) dt with x(0) = 1. x(t) = %3D

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Q: Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx) y = (tan x + sin…

A: The given function is y=tanx+sinx-3 We have to find dydx by using Leibniz’s notation for the chain…

Q: Let y = tan(4x + 4). Find the differential dy when x = 5 and dx 0.4 %3D Find the differential dy…

A: Given : The function y = tan(4x + 4)   To find : Differential dy when, 1. x = 5, dx = 0.4 2. x =…

Q: Find the change in y, Ay when x 1 and Ax = 0.1 Find the differential dy when x = 1 and dx 0.1

A: Let y=5x^3

Q: Find the differential dy of the given function. y sec² x x² +2 dy = sec²x(x²+2)tan x-x (x²+2)² dx x

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = -5x – (sin(x))² dy =

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Q: ve the given differential equati dy dx - (1 + x)y = xy

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Q: Find the differential dy of the given function. (Use "dx" for dx.)

A: Recall the following fact.

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = xV9 - x2

A: Use  the differential of the form f = u.v

Q: Find the differential dy of the given function. y = x cos 2x dy Submit Anguer X

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Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 7 dy

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Q: Find the differential dy of the given function. sec² x y x² + 2 sec 2x (2x²tan x + 4 tan x-2x)…

A: This question is based on quotient rule

Q: Evaluate the curve f(x, y) = 0 which passes through the point (0,4) and satisfies the differential…

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Q: Let y = tan(4æ + 5). Find the differential dy when a = 5 and da 0.2 %3D %3D

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: Let y = tan(5x + 3). Find the differential dy when a = 3 and dæ = 0.4 Round to 4 decimal places if…

A: For calculating dy, first we have to differentiate y w.r.t x, then find dy from that expression. The…

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = arctan(x – 2) dy = ||

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Q: Let y = tan(4x + 5). Find the differential dy when x = 5 and dx = 0.1 %3D Find the differential dy…

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Q: Let y = tan(3x + 8). Find the differential dy when x = 3 and dæ = 0.1 Find the differential dy when…

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Q: Find dy/dt Y=(1+Sin 12t)^-5

A: Given function is y=(1+sin12t)-5

Q: Find the differential dy of the given function. Y= square root 7- x^2 Dy=

A: To find the differential dy of the given function

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 4x + (sin(x))² dy

A: The solution is given below

Q: THE IVP

A: Consider the provided differential equation with initial condition is,