Evaluating a Line Integral In exercises 23–32, evaluate
F(x, y, z) =
(a).
(b).
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Student Solutions Manual For Larson/edwards? Multivariable Calculus, 11th
- Write the Linear Approximation to f(x, y) = x(1 + y)-¹ at (a, b) = (8, 1) in the form f(a+h, b+k) f(a, b) + fx(a, b)h + fy(a, b)k (Give an exact answer. Use decimal notation and fractions where needed.) f(8 + h, 1+k) ≈ Use it to estimate 7.97 2.05 (Use decimal notation. Give your answer to three decimal places.) 7.97 2.05 22 Compare this approximation with the value obtained using the calculator. Calculate the percentage error obtained by using the approximation. Percentage error is the absolute value of the ratio of the error to the actual value of the expression, multiplied by 100%. (Use decimal notation. Give your answer to three decimal places.) the percentage error: %arrow_forwardMAT 273 100 2021, Calculus 3 HW Score: 75%, 27 of Question 6, *16.6.5 O Points: 0 of 6 Integrate the function F(x,y,z) = 6z over the portion of the plane x+y+z=6 that lies above the square 0arrow_forwardHelp me pleasearrow_forwardf(x. y.2) = x + xy + yz + Q8) Find the Linearization at (1,1,2)arrow_forwardHelp with thisarrow_forwardQ2 Let C be the line segment joining the origin and the point (2,0, 1) and C2 be the line segment joining the point (2,0, 1) and the point (1,1,2). Integrate f(x, y, z) = (r - 2)? +y? over C1 U C2.arrow_forwardExercise 1: Show that the functions are orthogonal the indicated interval. a) f(x) = x, g(x)=x², x = [-2.2] c) f(x) = r, g(x) = cos 2r, x[-/2, π/2] b) f(x)=e¹, g(x) = re-e, r€ [0,2]arrow_forwardWrite the Linear Approximation to f(x, y) = x(1 + y)−¹ at (a, b) = (8, 1) in the form f(a+h, b + k) ≈ f(a, b) + fx(a, b)h + fy(a, b)k (Give an exact answer. Use decimal notation and fractions where needed.) f(8 + h, 1+k) ≈ Use it to estimate 7.97 2.03 (Use decimal notation. Give your answer to three decimal places.) 7.97 2.03 ≈ 5.885 4+/- 2k Incorrectarrow_forwardFind f, and f, for f(x,y)3Dy In (3x+4y).arrow_forwardarrow_back_iosarrow_forward_ios
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