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7. Find the linear approximation of the function f(x,y) = ery at (1,0) and use it...
7. Find the linear approximation of f(x,y)=-x’ +2y’ at (3,-1) and use this approximation to estimate...
7. Find the linear approximation of f(x,y)=-x’ +2y’ at (3,-1) and use this approximation to estimate f(3.1.-1.04). S (3,-1) = (3.-1) = ,(3,-1) = L(x, y)= L(3.1, -1.04) =
Find the linear approximation of the function below at the indicated point. f(x,y) = In(x - 4y) at (9,2)
Find the linear approximation of the function below at the indicated point. f(x,y) = In(x - 4y) at (9,2) f(x, y) ≈ _______ Use the approximation to find (8.91, 2.04), (Round your answer to three decimal places.) f(8.91, 2.04) ≈ _______
Let f(x, y, z) = yln(zx) + ztan(xy). Find the linear approximation to f at the...
Let f(x, y, z) = yln(zx) + ztan(xy). Find the linear approximation to f at the point (1,0,1). Use this linear approximation to approximate s(5,55 *). Show all of your work to obtain the linear approximation.
1. Linear Approximations. a. (40 pts) Find the linear approximation L(x) to the function f(x)tan(rx) at a (20 pts) Use the linear approximation to determinethe value at x = 0.4 at χ = 0.4, Comput...
1. Linear Approximations. a. (40 pts) Find the linear approximation L(x) to the function f(x)tan(rx) at a (20 pts) Use the linear approximation to determinethe value at x = 0.4 at χ = 0.4, Compute the relative error: Then compare f(x) and L(x) LLarrul × 100% 1f(x)1 r(x)l
1. Linear Approximations. a. (40 pts) Find the linear approximation L(x) to the function f(x)tan(rx) at a (20 pts) Use the linear approximation to determinethe value at x = 0.4 at χ...
7. (5 points) Find the linear approximation for f(x) = tan(2x) at a = 0 and...
7. (5 points) Find the linear approximation for f(x) = tan(2x) at a = 0 and use it to approximate the value of tan(0.002). Hint: The linear approximation is just the tangent line to the curve at a = 2. 8. (5 points) Use the Mean Value Theorem for derivatives to find the value of x = c for f(x) = Vx on the interval (1,9). 9. (5 points) The acceleration of an object moving along the number line at...
Find the linear approximation to the function f (,y) = 34+ 3xy at the point (2,y)...
Find the linear approximation to the function f (,y) = 34+ 3xy at the point (2,y) = (3,-1). L 2,y) = (write the appropriate function of u and y). Use this linear approximation to estimate f (3.03, -1.02) Number (the numerical answer must be precise up to +0.001).
Find the linear approximation of given function at (0,0). 5.r + 2 f (x,y) 5y +...
Find the linear approximation of given function at (0,0). 5.r + 2 f (x,y) 5y + 1 f(x, y)
Use a two-dimensional Taylor series to find a linear approximation for the function f (2,y) =...
Use a two-dimensional Taylor series to find a linear approximation for the function f (2,y) = sin (42) +y about the point (2,2).
24.9 and 25.1. Find the local linear approximation of the function f(x) = V14 + x...
24.9 and 25.1. Find the local linear approximation of the function f(x) = V14 + x at Xo = 11, and use it to approximate (a) S(x) = /14+x2 (b)/24.9 - (c) 25.1 - For parts (b) and (c), you should enter your answer as a fraction. If you enter a decimal, make sure that it is correct to at least six decimal places.
4. Find the second partial derivatives for the function f(x,y) = x+yat (1,0). (6 Pts)
4. Find the second partial derivatives for the function f(x,y) = x+yat (1,0). (6 Pts)
7. Find the linear approximation of f(x,y)=-x’ +2y’ at (3,-1) and use this approximation to estimate f(3.1.-1.04). S (3,-1) = (3.-1) = ,(3,-1) = L(x, y)= L(3.1, -1.04) =
Let f(x, y, z) = yln(zx) + ztan(xy). Find the linear approximation to f at the point (1,0,1). Use this linear approximation to approximate s(5,55 *). Show all of your work to obtain the linear approximation.
1. Linear Approximations. a. (40 pts) Find the linear approximation L(x) to the function f(x)tan(rx) at a (20 pts) Use the linear approximation to determinethe value at x = 0.4 at χ = 0.4, Compute the relative error: Then compare f(x) and L(x) LLarrul × 100% 1f(x)1 r(x)l
1. Linear Approximations. a. (40 pts) Find the linear approximation L(x) to the function f(x)tan(rx) at a (20 pts) Use the linear approximation to determinethe value at x = 0.4 at χ...
7. (5 points) Find the linear approximation for f(x) = tan(2x) at a = 0 and use it to approximate the value of tan(0.002). Hint: The linear approximation is just the tangent line to the curve at a = 2. 8. (5 points) Use the Mean Value Theorem for derivatives to find the value of x = c for f(x) = Vx on the interval (1,9). 9. (5 points) The acceleration of an object moving along the number line at...
Find the linear approximation to the function f (,y) = 34+ 3xy at the point (2,y) = (3,-1). L 2,y) = (write the appropriate function of u and y). Use this linear approximation to estimate f (3.03, -1.02) Number (the numerical answer must be precise up to +0.001).
Find the linear approximation of given function at (0,0). 5.r + 2 f (x,y) 5y + 1 f(x, y)
Use a two-dimensional Taylor series to find a linear approximation for the function f (2,y) = sin (42) +y about the point (2,2).
24.9 and 25.1. Find the local linear approximation of the function f(x) = V14 + x at Xo = 11, and use it to approximate (a) S(x) = /14+x2 (b)/24.9 - (c) 25.1 - For parts (b) and (c), you should enter your answer as a fraction. If you enter a decimal, make sure that it is correct to at least six decimal places.
4. Find the second partial derivatives for the function f(x,y) = x+yat (1,0). (6 Pts)
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