7N Let y = 5x + 8x + 4. If Ax = 0.4 at x = 2, use linear approximation to estimate Ay %3D Ay 2 12 O AO U- #3 2$ & 3 8 e r d. j k C alt ctri

Q: If f(x, y) = 4e*y cos (x- 1) , then the linear approximation at (1,0) is | (A) 4 + 16x (B) 4 + 4x…

A:

Q: Let y = 2x + 7x +3. If Ax = 0.3 at x = 4, use linear approximation to estimate Ay Ay 2

A: Linear approximation

Q: f(1) × f(10) + f' (x0)(x – 10) to obtain the local linear approximation (y) of – at zo = 3.

A: If you like the solution then please give it a thumbs up..... The Answer is:        y ≈…

Q: Let y = 5x? + 5a + 3. If Aæ = 0.3 at x = 4, use linear approximation to estimate Ay Ay = > Next…

A: Explanation of the answer is as follows

Q: Let y = 4x + 6x +2. If AI = 0.4 at a = 3, use linear approximation to estimate Ay Ay 2 12.64

A: Given,          y=4x+6x+2 , ∆x=0.4 at x=3.

Q: Let y = sin(3x). If Ax = 0.4 at x = 0, use linear approximation to estimate Ay Ay ~ = 1.2 Find the…

A: Use the following formulae, to obtain the solution. ∆y=fx+∆x-fxdy=f'xdxError…

Q: FIND 2 DIFFERENT (LINEARLY IN DE PENDËNT ) SOLUTION S POR THE D.E y"_x² y'- 3 xy = O *y'-3xy%3D0

A: Step:-1 Given that y''-x2y'-3xy=0 ---(1) This is second order differential equation with variable…

Q: dw 12. Let w = xey/z. Find the value of -at x = t?, y = 1-t z=1+ 2t dt

A:

Q: 2. Determine the solution of y? dt + (2yt + 1) dy = 0given that given that y (-1)=Q %3D

A:

Q: Use the RK4 method with h = 0.1 to obtain a four-decimal approximation to the indicated value. y' =…

A: To solve the given differential equation by Runge kutta Method of order 4 first we fill find the…

Q: Let y 5x + 6x + 2. If Ax = 0.2 at x = 1, use linear approximation to estimate AY Ay =

A:

Q: 3. Determine the linear approximation for Vx at x = 5. Use the linear approximation to approximate…

A:

Q: Use the RK4 method with h = 0.1 to obtain a four-decimal approximation of the indicated value.…

A:

Q: Let y = 5x² + 8x + 4. If Ax = 0.4 at x = 2, use linear approximation to estimate Ay Ay a

A: By linear approximation we can write,       ∆y ≈ dy = f'(x) dx Also We have,          ∆y =…

Q: 5x + 6x + 2. If Ax = 0.2 at x = 1, Let y = approximation to estimate Ay use linear Ay =

A:

Q: Let y = sin(2a). If Ax 0.1 at x = 0, use linear approximation to estimate Ay %3D Ay 2 = Find the…

A: In this question, concept of Linear Approximation is used. Linear Approximation The equation of a…

Q: Use the RK4 method with h = 0.1 to obtain a four-decimal approximation to the indicated value.…

A:

Q: Q6. If w = y²z² + xy and x = t³ – 1; y=t² + 2; z= 3t , find the total dw at t = 2 dt differential

A:

Q: |Show that the substitution v = In y transforms the differ- ential equation dy/dx + P(x)y = Q(x)(y…

A:

Q: Use the RK4 method with h = 0.1 to obtain a four-decimal approximation of the indicated value.…

A:

Q: Use the technique of variation of parameters to find a particular solution to the DE y" – 2y + y =…

A:

Q: Let y = sin(5x). If Aa 0.1 at z = 0, use linear approximation to estimate Ay Ay 2 Find the…

A: solution

Q: 1, use 2x2 + 3x + 2. If Ax linear approximation to estimate Ay Let y 0.4 at x = Ay 2

A:

Q: Y = 3x + 4x + 4. If Ax = 0.4 at x = 1, use linear approximation to estimate Ay Let Ay =

A: Given that                  y=3x2+4x+4    ...................(1)  and,    ∆x=0.4 Now derivative (1)…

Q: Using a local linear approximation of f(x) = V4+xat a = 0 to estimate the value of V4.3 gives Select…

A:

Q: Q5. If W = x² y + 2xyz , x = t², y = t + 1, z = 2t at t = 1. Find the total differential

A: Let's find.

Q: 2. Find the linear approximation to h(x) = Vx at x = 2. Use the linear approximation to approximate…

A: The objective is to find the linear approximation to hx=x4  at  x=2 Use the linear approximation to…

Q: dw if: dt Q1) Using the chain Rule to find w = xy + 3z, x = sint, y 2 cost, z=t (x2 +)

A:

Q: Use the RK4 method with h = 0.1 to obtain a four-decimal approximation to th indicated value. y' =…

A:

Q: If y is a function of x, then the equation (y - a)dx + 3ry dy = 0 is not linear + but both + and…

A:

Q: An integrating factor for y'+8z°y = sin z is given by (a) 2z (b) In(z*) (c) z4 (d) 5e2z

A:

Q: Let y = = sin(3x). If Ax = 0.2 at x = 0, use linear approximation to estimate Ay %3D Ay 2 = Find the…

A:

Q: 4x + 2x + 3. If Ax 0.1 at x = 5, use Let y = linear approximation to estimate Ay Ay 2

A: A detailed solution is given below

Q: Let y sin(5x). If AI = 0.4 at z = 0, use linear approximation to estimate Ay Ay 2 Find the…

A:

Q: Find the linear approximation to h(x) = Vx at x = 2. Use the linear approximation to approximate the…

A: Given: hx=x4 To approximate the values of 34 and 44 using linear approximation of hx. Note: the…

Q: Find the integrating factor. c. ydx + (3x – xy + 2)dy = 0 d. (x² + y² + x)dx + xydy = 0 (3x -…

A: A differential equation is in the form M(x,y)dx + N(x,y)dy = 0 and if it is not exact Then we can…

Q: 2. Find the linear approximation to h(x) = Vx at x = 2. Use the linear approximation to approximate…

A: Linear approximation of a function f(x) at x = a is, fx=fa+x-af'a

Q: Let y = sin(4x). If Ax 0.4 at z 0, use linear approximation to estimate Ay Ay 2 - Find the…

A: Solution :-

Q: Which of the following first order is linear? A. (-) == ex dy dx x dy B. (²x) ( 1 ) 4x² = ²1/ex dx x…

A:

Q: Let y = sin(5x). If Ar = 0.4 at r = 0, use linear approximation to estimate Ay Ay 2 %3D Find the…

A:

Q: Find the linear approximation of y = V1+ x at x = 0 and use it to approximate V1.05 7.

A:

Q: Let y = sin(5r). If Ar = 0.1 at a = 0, use linear approximation to estimate Ay Ay = 0.0087 Find the…

A:

Q: Let y 5x? + 4x + 3. If Ar 0.1 at I = 5, use linear approximation to estimate Ay

A:

Q: use linear approximation to give an estimate for the value of g (0.97, 2.01, 3.02) given g (x, y, z)…

A: Linear approximation of a function : The linear approximation of a function f(x,y,z) at some point…

Q: 5. Find dz/dt. (a) z = e'-ry; r = t/2,; Y = 5t (b) z = 3r2y: r = t%; y = t x = t!/2.

A:

Q: If z = e2x+ 3y and x = In t, y = t2, calculate dz from the total dt derivative formula and show that…

A:

Q: – 4z) dV where E {(x, y, z) | 0 < y < 1,0 < x < y, 0 < z < x + y²} Evaluate + Y E

A: We just need to put the limits and then integrate as following

Q: Let y = 4x + 2x + 4. If Ax = 0.1 at x = 2, use linear approximation to estimate Ay Ay 2 1.84…

A: