dz Use an appropriate form of the chain rule to find dt 1 z = 5 cos x – sin xy; y = 4t t' X = Enter the answer in terms of t. dz dt

Q: Let y = tan(4x + 6). Find the differential dy when x = 3 and dx 0.1 %3D Find the differential dy…

A: Explanation is given below...

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 7x2 – 3 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 = 8x2 - 1 dy =

A: solve by implicit differentiation

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 velocity v and time t are related by the first order differential equation below. Find the…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the differential dy of the given function.

A: Here we will Compute the first derivative dydx  And the rule we will use for computing is known as…

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: 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. y sec² x x² + 2 dy sec²x(x²+2)tan x-x (x² + 2)² dx X

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

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

Q: • Determine the value of C for the given first order differential dy y(lny-Inx+1) equation dx when…

A: To find:- particular solution of given differential equation

Q: Find dy/dx at the given point without first solving for y. x2 + 4xy + 23 = 0 at (1, −6)

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Q: Find the differential dy of the given function: y=sin2x-4x

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Q: Find the differential dy of the given function y = csc 7x Jax dy :

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Q: Find the general solution to the differential equatio y" + 4y = cos 2x (where y' = ) dx

A: When the right-hand side of a higher-order linear differential equation contains a function of the…

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: At any particular time, the rate of change at which the vertical position of an object moving in…

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Q: y" – y' – 2y = sin 3t y(0) = 1 and y'(0) =-1

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 7x2 − 3 dy =

A: Given y=7x2-3 Differentiating both sides: dy=14xdx

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

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Q: Solve for the DE: (y²-1)dx + (2xy- Siny) dy =0 When x= -1 ; y= 0

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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: If Z = Jxy +y, x= cos 0 , y= sin 0 when 0 dz By using chain rule find de

A: Chain rule for one independent variable- Suppose that x = g(t) and y = h(t) are differentiable…

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

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Q: Solve the differential equation using Laplace transform of y" − 4y′ + 4y = 4 cos 2t ; when y(0) = 2…

A: Solve given differential equation by using Laplace transform. y" - 4y' +4y = 4cos2t when y(0)=2 and…

Q: 5. y = l 1- co s x 1+co s x

A: We have to find out dy/dx for given y

Q: The differential equation (3ycosx+ 4.xe* +2x'e" dx+ 3(sin x+1)dy 0 is exact because OM ON Ox

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Q: Let y = tan(4x + 3). Find the differential dy when x = 3 and da Find the differential dy when x = 3…

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Q: At any particular time, the rate of change at which the vertical position of an object moving in…

A: A  detailed solution is given below

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: 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: Find the differential dy of the given function Y=arctan(x-5) Dy=?

A: Use the standard derivative of inverse trigonometric function and chain rule.

Q: Let y = tan(5x + 5). Find the differential dy when a = 2 and dx 0.3 Find the differential dy when x…

A: Given, y= tan(5x+5) Therefore, dy/dx = sec²(5x+5) .d(5x+5)/dx dy/dx = sec²(5x+5)*5 dy= 5sec²(5x+5)dx

Q: Find the number N such that the differential (y^3-2x)dx+Nxy^2dy is exact

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Q: Solve de next differential equation using the lapace transform   y´+ y = sin t + cos 2t

A: Take the Laplace transform, term by term:

Q: The degree and order of the differential 1 dy equation 1+ is 3 dx wy dx

A: Solution

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

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 7x + (sin(x))² dy = Need…

A: The solution is :

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(3x + 4). Find the differential dy when x = 4 and dx = 0.4 Find the differential dy when…

A: We know that, ddxtanx=sec2x We have,  y=tan3x+4 On calculating derivative with respect to x, we get…

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

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Q: If y = In(6 + x8), find the differential dy. Your answer will be in terms of x and dx. Enter dx as…

A: topic - differentials

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. (Use "dx" for dx.) y = 4x + (sin(x))² dy

A: The solution is given below

Q: dy Cos ス + Sinx dx Y Lny

A: Use separable variable method