Find the best quadratic approximation, Q(x, y) of V9 + 7x + 5y for (x, y) near (0,0), Q(x, y) : 3+(7/6)x+(5/6)y-(25/216)x^2-(35/216)xy^2*2-(25/216)y^2

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: Find the firct derivatioves of the follwing: - 3 ) y= 3x-x -2 4) y: Jerx 2) y: Ji-7x 5) y = 2メ-3

A: ddxxn=nxn-1 ddxu(x)v(x)=v(x)ddx(u(x))-u(x)ddx(v(x))v(x)2

Q: Estimate the root of following nonlinear equation x – 2x – 1 = 0 using Newton-Raphson method…

A: (a) The given equation is f(x)=x4-2x-1=0 find the derivative f'=4x3-2 initial guess x0=-1…

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

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Q: The dimensions of a closed rectangular box are measured as 90 centimeters, 80 centimeters, and 60…

A: Given: The dimensions of a closed rectangular box are measured as 90 centimeters, 80 centimeters and…

Q: At what point does the normal to y=4x2−(2+3x)y=4x2−(2+3x) at (1,−1)(1,−1) intersect the parabola a…

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Q: 1. Find an estimate of the root of the equation: 3 = 5x2 located in the interval (0,1) using…

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

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

A:

Q: 6. Find the area of the surface generated when y = v4x + 6 is revolved about the x- axis on the…

A: 80π

Q: Find the maximum volume of a rectangular box with faces parallel to the coordinate planes if one…

A:

Q: Find the least squares quadratic which best fits the curve Y= ex interval •< X<I ao+aix +azx over…

A:

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

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

Q: Find the orthogonal trajectories of family of hyperbola with center at the original and the length…

A:

Q: 4. Determine the orthogonal trajectories of the hyperbola 3xy = 5 at point (2, 5/6). Sketch the…

A: To find the trajectories of the hyperbola write dydx by dxdy  and solve the system.

Q: Solve the equation in the attached image:

A: Given:

Q: Find the orthogonal trajectories of the family of circles with center at the point (0, 1) and radius…

A:

Q: Find the smallest positive root by using fixed- point method f (x) = In(3x)– x² +2 %3D with three…

A: Given: fx=ln3x-x2+2. We have to find the smallest positive root by using fixed-point method with…

Q: 4. Determine the orthogonal trajectories of the hyperbola 3xy = 5 at point (2,5/6). Sketch the…

A:

Q: 2. Find an estimate of the root of the equation: 2* + Vx² +5 =20 using regula-falsi method. Ans

A:

Q: Find the least squares quadratic & bj xj which best fits curve Y = sin(x)

A:

Q: Find the second iteration value of an extremum (maximum/minimum value) of f(x) = 5sin2x - bx2 - cx…

A: Given the function fx=5sin2x-2x2-4x. The initial guesses are x1=0, x2=1, x3=1.5. The Quadratic…

Q: Find the maximum value that f(x, y, z) = x² + 8y - z² can have on the line of intersection of the…

A: Given function is f(x,y,z)=x2+8y-z2 and the other constraints are g(x,y,z)=2x-yh(x,y,z)=y+3z We…

Q: 4. Find the orthogonal trajectories of the family of parabola described by the equation (y– 3) = Cx.…

A: The solution of the problem is given in the next step.

Q: 4. Find the orthogonal trajectories of the family of parabolas with vertices at the origin and foci…

A:

Q: Find the orthogonal trajectories for the family of curves. (Enter your solution in the form F(x, y)…

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Q: Find 2. dy of 2.

A:

Q: Find the rod of greatest length that can be inserted between y= square root of x and y=x^3…

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

A:

Q: 7) Let Z.= 3x2 - y² . Find all points at which |VZ| = 6 %3D

A: There is an ellipse,  all points on the ellipse are the solutions of given equation.

Q: 2-g(%,y)%3D플-플 * at (VT ,1)

A:

Q: Make the cubic y = ax3+bx2+cx+d pass through the points (0,-6), (1,-2) and be tangent to the line…

A: This is the simple question based on algebra and derivative which could be solved using the basic…

Q: 4 to Use the Trapezoidal Rule with n = 1 approximate J-1 V1-x³

A:

Q: What is the second iterative value of the root f(x) = x2 - 3. with the initial bracket [1, 2] using…

A: To find The second iterative value of the root of f(x) using the bisection method.

Q: f(x) = x - e-x?

A: Use bisection method to find a root.

Q: How close does the semicircle y = V16 – x² come to the point (1, v5)? |

A:

Q: Obtain the particular solution for: 2y" +2y=2sinx y(0)=0, y'(0) =1 By using method of variation…

A:

Q: 3. Find how many roots the equation 2z4 – 323 + 3z² – z + 1 = 0 - - has in the right half-plane Rez…

A: Given: 2z4-3z3+3z2-z+1=0

Q: Explain theorem of Wronskians of Solutions?

A: To Find : Define the Theorem of Wronskians of solution

Q: Find the orthogonal trajectories of x^2+y^2−2cy=0

A:

Q: 2an-butn Converge bey to

A: The given sequence is an.bnn=1∞ we observe that there is N1&gt;0, so that when n&gt;N1, we have…

Q: 3z2+x 30. If z – xz – y = 0, prove that- =- ax dy (3z²–x)³*

A: Let's find.

Q: Find the families of characteristics of the PDE (1-x²)w„ - u,, = 0 in the elliptic and hyperbolic…

A: Pde

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: 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

A:

Q: Find the maximum value of f(x, y) = 4xy(9 – 72x – 9y) over the triangle with vertices -- - (0,0), (5…

A: Given: fx,y=4xy9-72x-9y vertices 0,0 18,00,1

Q: Differentiate, and make sure to show all your work: 3z ²-2 Y= 5 cosh z

A: We have to differentiate the given expression, y=3x2-25cosh x Apply the quotient rule for…

Q: I Sdve for dydx using the four-step rule 2. Y = x- x 2.

A:

Q: Find the orthogonal trajectories of the families of Parabolas y a + 8az + 16a, which passes through…

A: