Use the Linear Approximation to f(x, y) = x/y at (9, 4) to estimate 9.1/3.9.

Q: Find the equation of the tangent line and equation of the normal line to the graph of 3x cos y = 1 +…

A: We have to find the equation of normal and tangent line.

Q: Let y = 3x + 2x + 4. If Ax = 0.4 at x = 1, use linear approximation to estimate Ay Ay =

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: Use the linear approximation to f (x, y) = √x/y at (9, 4) to estimate √9.1/3.9.

A: f(x,y)=xy at (9,4) to estimate 9.13.9

Q: The linear approximation at r = 0 to sin(2x) is A+ Bx where A is: and where B is:

A:

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 = 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: Let f(x, y) = . Use the Linear Approximation at an appropriate point (a, b) to estimate…

A: Given,f(x,y) = x2y2+1To estimate,f(4.02,0.93) using the LinearApproximation at an appropriate point…

Q: integrate ƒ over the given curve. ƒ(x, y) = x3>y, C: y = x2/2, 0 <=x<= 2.

A:

Q: Find the length of the curve y = Vcos 2t dt from x = 0 to x = T/4.

A:

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

A:

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

A: Given: y=sin(5x) ∆x=0.4  at x=0   Solution: y=sin(5x) For the function y=f(x),   ∆y=f(x+∆x)-f(x)…

Q: Let y = 5x + 7x + 3. If Ax = 0.3 at x = 3, use linear approximation to estimate Ay Ay =

A: Follow 2nd step.

Q: Let y = sin(2x). If AI = 0.3 at x = 0, use linear approximation to estimate Ay %3D %3D Ay = %3D Find…

A:

Q: Let y = sin(5x). If Ax : = Ay ~ = Find the percentage error error = 0.2 at x = 0, use linear…

A: Linear approximation of y=f(x) at x=x0 is L(x)≈f(x0)+f'(x0)(x-x0)

Q: For the function y=JHx +1 + Find: a) The equation of the tang ent liné at X = 2 b) The equation of…

A: Given,            y=4x+1+2xTo find : a The equation of the tangent line at x=2.                b The…

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

A: We have to find the change in y using linear approximation

Q: A cylinder of radius r and height h has volume V = nr 2h.(a) Use the Linear Approximation to show…

A: Given: A cylinder of radius r and height h has volume V=πr2h a)  show:  ΔVV≈2Δrr+Δhhb)  Percentage…

Q: With the use of: local linear approximation Estimate: In (V0.99)

A:

Q: What is the value of the line integral ∫ AB y dx + x dy, if x = 3*t, y = 4*t + 4 and 0 ≤ t ≤ 1?

A: I am solving this in step 2

Q: The linear approximation at z = 0 to sin(4z) is A+ Bz where A is: and where B is:

A: Linear approximation is found by L(x)=f(x)+f'(x)(x-a) Differentiate L(x) with respect to x.…

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: Find the total differential. z = 2x6y9 dz

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

A:

Q: The linear approximation at x = 0 to sin(2x) is A + Bx where A is: and where B is:

A:

Q: Let y = sin(4x). If Ax = 0.1 at x = 0, use linear approximation to estimate Ay Ay = = Find the…

A:

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

A: Given, y=f(x)=3x2+4x+4 ,∆x=0.4 at x=1 Differentiate with respect to x, we get f'(x)=6x+4 At point…

Q: Find the linear approximation of the given function at (0, 0). f(x,y) = sqrt(y+(cos(x))^2)

A: The given function fx, y=y+cos2x The linear approximation in 2 variables is given by Lx, y-fa,…

Q: Find the length of the curve y = V cos 2t dt from x= 0 to x = 4

A:

Q: Find the total differential. z = 5x3y8 dz =

A: The solution is:

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

A: Solution :-

Q: Use the Linear Approximation off (x, y) = ex2+Y at (0, 0) to estimate f (0.01, -0.02). Compare with…

A: By the method of linear approximation, if we are given a differentiable function f in two variables,…

Q: Find the linear approximation to f(x, y) f(6.11, 4.17) f(6.11, 4.17) = 5, xy at the point (6, 4,…

A:

Q: Find the total differential. z = 5x³y4 dz =

A: Solve the given

Q: Let y=sin(4x).If Δx=0.2 at x=0, use linear approximation to estimate ΔyΔy≈   Find the percentage…

A:

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

A: given: y=sin2x∆x=0.2x=0 as we know that, ∆y=dydx∆x dydx=cos2x2=2cos2x

Q: Let y = 4a2 + 8x + 2. If Aæ 0.4 at x = 5, use linear approximation to estimate Ay %3D %3D Ay =

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: Find the equation of the tangent plane to z = ln(2x + y) at −1,3

A: Find the equation of the tangent plane to z = ln(2x + y) at −1,3

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

A:

Q: Let y=sin(5x)y=sin(5x). If Δx=0.1Δx=0.1 at x=0x=0, use linear approximation to estimate Δy and find…

A:

Q: Find an equation of the tangent llne to the về at the given poln 6x y = (x + 1)2' (0, 0)

A:

Q: (1) Where on the line r = ay does the function f(r, y) = (x – a)² + (y – 2)² attain its smallest…

A: We need to check on the line x=ay.....................(1) if there exist a minimum for the function…

Q: Find the total differential. z = 6x *y5 iz

A:

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. V35.63 2

A:

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

A:

Q: Let y sin(5x). If Ar 0.3 at z 0, use linear approximation to estimate Ay %3D Ay = = Find the…

A:

Q: Use the linear approximation to ƒ(x, y) 12x² at (3, 9) to estimate f(3.1, 8.8). y2+7 (Use decimal…

A: