Given; x = (e^t)cos(t) y= (e^t)sin(t) Z = e^t Find the tangential component and normal component of acceleration.

Q: Use implicit differentiation to find dydxdydx without first solving for y. x^4+y^4=−2 dy/dx=?

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Q: Find the total differential. z = e-X tan(y)

A: Given, fx=z=e-xtany To find fx=z

Q: The deferential of point functions are exact differentials. Select one: True False

A: True

Q: Find the approximate value of √0.95 using differential

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Q: Which of the tollawing differential eouations corresponding to the potertial Vix) = 2x - x

A: Differential equation    Option  2nd  is correct

Q: Ily approximate the differential dy when x changes from 64 to 64,07 Y

A: Since the student has posted multiple questions and mention to solve question numbers 1 and 2. But…

Q: Find dy/dx by implicit differentiation   4Cos x Siny  =1

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Q: Use linear approximation or differentials to estimate the following

A: Solution: Consider the given number: 1000.033 Let y = x3 = x13 Differentiating with respect to x:…

Q: Find dy/dx by implicit differentiation given that 3x – 5y³ = sin y. %3D

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Q: dx/dt of -ln(-cos t)-e^(sin t)

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Q: If the acceleration of a particle is given by ä = sint i+ cost +e k, find the relity and position…

A: The acceleration of a particle is…

Q: Find the total differential, given: (b) \theta = arctan (y/x)

A: Let us consider the function z=f(x,y)  The partials derivative are obtained as…

Q: Use differentials to approximate the quantity   √17

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Q: Find the derivative of y with respect to x. y=secant-1 (x 2+1),   x greater than 0.   dy/dx=????

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Q: dy Use implicit differentiation to find given dx eizy = e-y. %3D

A: our objective is to find the derivative.

Q: Find the equations of both the normal line and the tangent line. y = secx at x =n y = tan x at x ==…

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Q: Use a linear approximation (or differentials) to estimate the given number to the nearest hundredth.…

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Q: Find the 3rd derivative of the function given by the parametric equations x=1+sint, y=t−cost at t=0.

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Q: linear a approx Imation differential's to estimate Ja6.96

A: let ,

Q: Find the derivative of y with respect to x if y=∫0ln(3x) sin(6et )dt

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Q: Use central difference approximations to estimate the first and second derivatives of y = e* at x =…

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Q: dy Find by implicit differentiation. 20x = 20 - ey ... dx (Type an exact answer.)

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Q: Find the derivative of y with respect to x. y= sec -1(3x? + 1), x>0 dy dx

A: Given that: y=sec-1(3x2+1), x>0

Q: A particle moves along the x-axis with velocity dx/dt = ƒ(x). Show that the particle’s acceleration…

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Q: Consider the curve given by cos(x)+cos(y)+2x+y=2. Determine dy/dx for this curve using implicit…

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Q: To use differentials to approximate V9. You would use x = and dx

A: Solis as follows

Q: Can i get help step by step please

A: Consider the given function

Q: the derivative of y with respect to v. 1 = In ( cosh (5v)) –· tanh 2(5v) 2 derivative of y with…

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Q: Find the equation of the normal line to cos x-sin y=0 at y=

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Q: (5) Find the derivative dy/dx, where: 4 1 -1 y=- y = cosec(cot3x), y=Vsinh¯3x 3 1+ cos° x

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: If y- sinhx then prove that dy dx

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Q: Find the equation of the normal line to the curve f (x) = 6e2x cos x at the point (0,6). %3D

A: Now point on the function is (0,6 ) . Step 1 : find the value of the derivative at x=0 . So, f(x) =…

Q: Use linear approximation (or differentials) to estimate the given number. 3 а. V8.12

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: .A telegraph cable is made of an outer winding around an inner core. If x is defined as the core…

A: Using double derivative test to get max value of x

Q: Find an equation of the tangent line to the gra 26. 1+ln(xy) e (1, 1)

A: Obtain the derivative of the function with respect to x as follows.

Q: b) Find the equation of the normal line of curve sin x + cos y = 1 at point

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Q: dy Use implicit differentiation to find dx sinh(x+ y)= cosh 2x+e?y+1 3.

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Q: Does the differential dy represent the change in f or the change inthe linear approximation to f ?…

A: Given the differential is dy.

Q: Find the total differential.

A: w=3x+y4z-9y

Q: Use high-accuracy centered difference approximation to estimate the first and second derivatives of…

A: The central difference approximation to the first derivative of a function at is given by the…

Q: Change the order of in tegration 10 10 dy dx

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Q: Find the Moment of Inertia of the plate with respect to Y- axis and its Radius of Gyration. (Present…

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Q: Find the derivative of g(x) = fecost dt.

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Q: 3 Σεπ %3D From the properties of characteristic equation of strain Lɛ,

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: The derivative of y = In(sin(ex + 1)) is O y' = -ex cot(ex + 1) the above y' = -ex tan(ex + 1)

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Q: Find an integrating factor depending only on x that will make 2ye 5x* 3 sin y + 5xex + dx + (x cos y…

A: Given:            Let the differential equation is in form 3siny+5ye5x+2ye5xxdx+xcosy+e5xdy=0…

Q: The derivative of: y =0(sin (In (0)))+cos(In (0 )) is:

A: Given :y=θ(sin(ln θ))+ cos ln θ dydθ=θcos ln θθ+sin ln θ-sin  lnθ θ      =cos ln θ+sin ln θ-sin  lnθ…

Q: Use a linear approximation (or differentials) to estimate v3.99 to 5 decimal places. Be sure to show…

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