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

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

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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 the local linear approximation to f(x) = Vx at x = 1 and use it to approximate both 1.1 and…

A: To know which one is better we have to compare with calculator values of sqrt(1.1)  and sqrt(0.1)

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: Use the linear approximation of f(x) = at r = 0 to approximate f(-0.1). 1+r

A: Use the linear approximation of f(x)=1/(1+x) at x=0 to approximate f(-0.1).

Q: IND THE ORTHOGONAL TRAJECTORIES OF THECURVES Y =Cx²,WHERE CIS AN ARBITRARY CONSTANT.

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Q: the linear approximation for f(x,y) = sqrt (y+cos^2 x) at (0,35) is ?

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Q: Find the linear approximation of given function at (0, 0). 3x + 4 2y + 1 f (x, y) = f(x, y) =

A: We have to find the Linear approximation of the given function.

Q: Take a look at the derivative of the integral (4t² – 2t + 7) dt. d - dx -4

A: topic - derivative and integration

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

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

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Q: 4. Use the contour integration to find f G dx. 1 x4+16

A: Answer: π/(16√2)

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: Find the total differential. w = (3x + 4y)/(y + 3z)

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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: Let y=sin(2x). If Δx=0.4 at x=0, use linear approximation to estimate Δy.

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

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Q: Using the linear approximation of f (x, y) near (x, y) = (1, 0) tells us that f (0.98, 0.05) is…

A: The linear approximation of a function f(x, y) at (a, b) is L(x, y) = f(a, b) + fx(a, b)(x − a) +…

Q: Find the linear approximation of f(x) = In r at a = 1 and use it to estimate In(1.14). L(2) = %3D…

A: Please refer the attached image for complete solution.

Q: Find the total differential. z = 2x6y9 dz

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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: 18. Use the Linear Approximation to f(x, y) = /x/y at (9,4) to estimate 19.1/3.9.

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

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

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

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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 local linear approximation to f(x, y) = 4x² + y² at P(2,3)

A: We have to find the linear approximation of above function at (2,3) please see the explanation…

Q: The derivative , given 7x y Inz + 7e5y is dy dr 21r y 3y In z 35e 21z y 3y In r+35ze 21r y 3ry In r…

A: In this question we have to find the differentiation.

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

A: The solution is:

Q: Find the total differential. z = 6x1°y8 dz =

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Q: Find the quadratic approximation at (0,0) for f(x,y) = ln(1+x^2 + y^2).

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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,…

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Q: Find the interval on which the curve 1 dt 4+t+ 2t2 is concave upward.

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

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

A: Solve the given

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

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

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Q: Consider the function y defined implicitly by 3(x2 + y2)? = 100xy. Use the linear approximation at…

A: Given : 3(x² + y²) = 100xy

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

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Q: Integrate from f(x) = x4 from 0 to 1 by (Trapezoidal Rule) with h = 1, h = 0.5, h = 0.25 and…

A: Here, f(x)=x⁴ So, I=  Integrate from f(x) = x⁴ from 0 to 1. Now we can solve by Trapezoidal rule,…

Q: Verify the linear approximation at ( 0, 0) for e^x cos(xy)

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Q: (b)/ Use the Trapezoidal Rule with n = 4 to estimate ſ,(x3 + 1)dx.

A: To find: ∫-11x3 + 1dx using trapezoidal rule with n=4

Q: 2. Find the linear approximation of f(x) vx at x 4. Then, find the approximate value of 4.4 using…

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Q: Use the Trapezoidal Rule with n = 4 to estimate f, x² dx. Compare the estimate with the exact value.

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

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