State where in the ty-plane the hypotheses of the Existence and Uniqueness Theorem are satisfied for the equation y'=(ycot(2t))/(t^2+y^2+1)

Q: Find both first partial derivatives. 18y2 x az %3D ax dz ду

A: The given function is:z=18y2x

Q: 4) Find linear ditterental equation with costnt y-ac'+cadk Lomageneas coetfients whose general…

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Q: Find both first partial derivatives. Z = In az %3D ax az ду

A: ∂z/∂x = 1/x    ∂z/∂y= -1/y

Q: Differentiate ysin(1/y)=1-xy

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Q: Find both first partial derivatives. %3D az ax az ây

A: Solution is given below:

Q: The integration expression Jsin(3In(x)+ 4)cos(3In(x) + 4)dx must be transformed into using suitable…

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Q: . Form the differential of the system of circles touching the y-axis at the origin.

A: The solution is given as

Q: 1. The first approximation of the root of xlogx - 1.2 = 0 in [2,3], by Regula Falsi method (False…

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Q: 5. Find the first partial derivatives of w= In(x+2y+3z) %3D

A: The given function is w=lnx+2y+3z

Q: Use Euler method to approximate the value of y(0.1), given y' - x2 - y = 5, y(0) = 3 with Ax = 0.025…

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Q: Find both first partial derivatives. 6y* az ду.

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Q: 2+ yety y' : 2у - хеху

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Q: Find both first partial derivatives. z = sin 5x cos 5y

A: The given function is z=sin5x cos5y. Differentiate the above equation partially with respect to x as…

Q: How many days would a 67-unit construction activity lasts if this activity have a parameter of…

A: The activity has a parameter of 0.9 man hours per unit.To Find: In how many days the activity will…

Q: The roots of Characteristic equetion of a thrrd oreler, lineor homapeneous-equation with constaut…

A: Consider homogenous differential equation with constant coefficient:…

Q: A stretched string of length 20 cm is set oscillating by displacing it midpoint from the rest…

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Q: Find a single initial value problem that admits the family of solutions and then find an orthogonal…

A: Given equation is: y=ecx3 To find the initial value problem corresponding to the above solution.…

Q: Find both first partial derivatives. z = exy

A: Given function is z=exy. Partial derivative of function means derivative of function with respect to…

Q: Find all the second partial derivatives. v = sin(3s2 - 4t2) V st Vts Vtt II II

A: As per the guidelines we can solve 3 parts only

Q: 5. Use differentials to approximate V4 + In(1.2) correct to two (2) decimal places.

A: Let us take the function f(x)= √x f'(x)=1/(2√x) f(x+Δx)=f(x) + f'(x) . Δx   ___i) Here let us…

Q: Let C be the shortest path that connects t to ni and I = S. (coshz + 1)dz. Then I=0 1--sinh π+…

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Q: Find both first partial derivatives. z = sinh(7x + 16y) az ax az ду

A: From the given problem: z=sinh7x+16y As we know that: The chain rule: fgx'=f'gx·g'x The Power law:…

Q: Find both first partial derivatives. z = 4y²/x az ax az ду || ||

A: z=4y2x

Q: 44. Find a parametrization of the right branch (x > 0) of the hyperbola 1 - using cosh t and sinh t.…

A: The equation of hyperbola is xa2-yb2=1   The right branch (x>0) of the hyperbola can be…

Q: Find a differential operator that annihilates 4e2" cos 3x + 3x²e5.

A: Let L be the differential differential operator that annihilates 4e2xcos3x+3x2e5x. Find L.

Q: Find both first partial derivatives. z = 9xVy az az ду || ||

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Q: By integration find the Fourier transform of Ax)=2r+1 _if þx|<1_and fx)=0 otherwise.

A: According to our company policy, I am supposed to answer only one question at a time. For the rest…

Q: Solve MXVN at (1,1-1) When M = (2yz)i – (x²y)j + (xz²)k and N = 2x²yz³ Show the graph after it.

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Q: Use forward, backward and centered difference approximations to estimate the first derivate of: tx)…

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Q: Suppose P is a linear differential operator that factors but has variable coefficients. Do the…

A: If P is linear  differential operator that factors but has variable coefficients ,

Q: Find the first partial derivative of w = In(1 + )at (2,0, – 1).

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Q: Give two examples of the situation with the solution clearly and in order Soperties of Bessel's…

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Q: The 2nd approximation to the real root of the equation x³ – x² – 1 in the interval [1, 2] using…

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Q: Sketch the direction field of the differential equa tion.Then use it to sketch a solution curve that…

A: Given Differential equation : y'=x-xy  ,(1,0) dydx=x(1-y) Now we solve the equation by separation of…

Q: Solve the nonhomogeneous opdr – 2rdo = q' In odo. equation

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Q: Find y' where y = (tan(18z² +5)) / 18z3 +14 Answer: 54z2 O v' = sec2 (36z) /1823 + 14 + tan(182² +…

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Q: -2n de 24. Show that 2n. V2-cose

A: We have to prove given identity:

Q: Find both first partial derivatives. z = 6y?/x az az ду

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Q: ly 3)[e^(-2y)]dy

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Q: find all the second partial derivatives of Z and show complete solutions Z= tan-1 ( x2 / y3 )

A: Partial derivative of the function Z=f(x,y) is denoted as The first partial derivative∂Z∂x, ∂Z∂y The…

Q: Find both first partial derivatives. z = In() az дх az ду ||

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Q: Find both first partial derivatives in) z = az az ду

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Q: Find all the second order partial derivatives of the function : f(x, y) = In 4ry + sin 3ry + e4z-3y

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Q: Estimate the In (1.1) and sec (0.1) Using a linear approximation and without using any kind of…

A: f(x)=ln(x) f'(x)=1/x f(1)=ln(1)=0 f'(1)=1/1=1 linear approximation is then L(x)=f(a)+(x-a)f'(a)…

Q: 9. Find all the second partial derivatives of Z; given: a) Z = xy³In(3xe' )

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you.  If…

Q: Obtain the differential equation of the family of plane curves described and sketch several…

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Q: Find both first partial derivatives. Z = In az az %3D ду

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Q: 5.If the tangent 1ine to the functlen fx)= axt-6x at X=- has the equatfon. y= 3x+2then 6=?

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