2л — Зу w = 5z -y

Q: ) Estimate the value of Csc (0. 2) using linear approximation and without using any kind of…

A: Given problem:- Estimate the value of csc(0.2) using linear approximation

Q: = x2 - 4x + 1 with domain [0, 3] f has ---Select--- v at (x, y) = f has ---Select--- v at (x, y) = f…

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Q: Find the perticular number or orthogonal trajectories of x2+cy2=1 passing through the point (2,1)

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Q: A company has two plants that produce the same lawn mower. If x, and x, are the numbers of units…

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Q: Bounded by the curve y = (x + 3)², the x axis, and the lines x =-3 and x= 0. %3D

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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

A:

Q: (a) A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of…

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Q: Find the linearization of y = at x = 16.

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Q: Let f(x, y) = 3x² – x – 3y + 5y2 – 10xy. - - - List the critical point:

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Q: 5. Deduce the standard linear approximation of 1 x2+y2+z2 at Po(1,2,3).

A: The general formula of the standard linear approximation for f(x,y,z) is generally given by,…

Q: 4) Find the orthogonal trajectories of the family of curves

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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: An economist wants to quantify the offect of olectricity prices on the real economy. By using…

A: Here, since the electricity price jump 27% above their previous peak value and stay at this new…

Q: 8) Find the family Coff esponding to of orthogonal trajectories y=kx".

A: To find the orthogonal trajectories corresponding to below curve.

Q: Determine the orthogonal trajectories of the family of electric field lines described by the family…

A: Given    x-c3+y2-c23x-c=x3   differentiate  w.r.t.x    3x-c2+2ydydx-3c2=3x2⇒2ydydx=3x2-3x-c2+3c2…

Q: Compute the partial derivatives: 6x dz az dy

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Q: Specifically a differential equations problem. Question in pic below. The first "Select" is either…

A: Here, f1(x)=ex+3 and f2(x)=ex-4

Q: Find both first partial derivatives. 5xVy %3D az az ду

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Q: 4. Estimate the In (1.1) and sec (0.1) using a linear approximation and without using any kind of…

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Q: Maximize 4x+ 2 y+ 2 z

A: We have to maximize f(x,y,z)=4x+2y+2z on the sphere x2+y2+z2=19.Take g(x,y,z)= x2+y2+z2-19=0Thus,…

Q: How is the Chain Rule applied when finding dydx implicitly?

A: According to the question, we have to explain the chain rule when used in the implict function.…

Q: g(x) = 4x3 12x + 6 with domain [-2, 2] g has --Select- at (x, y) = g has --Select--- at (x, y) = g…

A: g(x) = 4x3 -12x +6

Q: Find the orthogonal trajectories of the family of circles passing through the points (1, −2) and (1,…

A: Given that

Q: +[2yln [2yin (3 3y²dx 3siny dy = 0 ;when x = 1, y = 0 5x x2+3x x+3,

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Q: Find both first partial derivatives. Z = 13xVy az %3D az %3D ay

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Q: 4. Find the orthogonal trajectories of the family of curves: y = ke* %3D

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Q: . Show that it is possible to solve u and v from: xyu + xy2uv2 = 2  and  x2yvu4 + yu3v2 = 2, in…

A: Given: xyu + xy2uv2 = 2  and  x2yvu4 + yu3v2 = 2 To show that we can solve for u & v in terms of…

Q: What kinds of changes occur in the Coefficients of a Nonbasic Variable when the original model is…

A: Answer is explained below

Q: 5. Find the orthogonal trajectories for a family of circles tangent to the at y-axis.

A: Here we have to find the orthogonal trajectories for a family of a circle tangent to the x-axis and…

Q: 3. x - y=t + 3 4. x = VT-T; y =t- 3t 5. x = vE + 2; y = t² - 3

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Q: [1] Determine the orthogonal trajectories of y(1+2x²)=ax.

A: The given equation is:y1+2x2=axy=ax1+2x2              ..............(1) Determine the orthogonal…

Q: Determine the minimum point of fx) =x,²+x,x, +x,² – 3x, – 3x, by using conjugate gradient method,…

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Q: Find both first partial derivatives. z = 14y²Vx az ax az ду eBook

A: We have to find

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: Find the family of orthogonal trajectories of the system of circles which pass through the origin…

A: To find  The family of orthogonal trajectories of the system of circles which passes through the…

Q: Find the Linearizat ion of Non lineah Relations hip Y= (ax+

A: This is the problem of linearization, application of differential calculus.

Q: Find both first partial derivatives. z = 3xVy az ax az ду || ||

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

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Q: Let – 4x – 2y – 5z* – 4xyz + 619 = 0. az Use partial derivatives to calculate dz at the point (6, 5,…

A: let -4x3-2y3-5z3-4xyz+619=0 to calculate  ∂z∂x and ∂z∂y at the point 6,5,-3

Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx

Q: 5. Find the orthogonal trajectories for a family of circles tangent to the y - axis and centers at x…

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

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Q: Find the image of the point (-2,4) under the compression with factor ½ in the y-direction. O (-1,2)…

A: The point is -2, 4To find the image of point under the compression with factor 12 in y-direction

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A: We will find value of function inside integral and then find end points of interval .At end will…

Q: 5  please answer, type the solution if you can please. or write clearly

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Q: The secant method of finding roots of nonlinear equations is categorized as a (an)_____ method. O…

A: To find- The secant method of finding roots of nonlinear equations is categorized as a (an)…

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

A:

Q: Explain in your words how the Laplace transform is applied to solve a system of linear deferential…

A: The Laplace transform is an integral transform. The Laplace transform is mostly useful in solving…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.