![F(x) = 1 + 3 ha et at L(1) - Fla) +F(a) (1–0) FCO) = **tº dt = 70-4 F(x) = 0+3 . Al 1 etat] ;. 419 = F(3)+F(3)(x-3) #+ 3e\n-](http://img.homeworklib.com/questions/5f3187c0-1f94-11eb-bac5-919eeb8c4e1e.png?x-oss-process=image/resize,w_560)
7. (a) (1 point) Define the linearization L(x) of a function f at a point a; (b) (1 point) draw a picture which gives a geometrical intepretation of the linearization; (c) (4 points) determine the linearization L(x) of the function f(x) = Ýr at a = 27; (d) (4 points) use (c) to approximate the value 726.5 (express your answer as a rational number (a quotient); do not try to "simplify" it);
7. (a) (1 point) Define the linearization L(x) of a function f at a point a; (b) (1 point) draw a picture which gives a geometrical intepretation of the linearization; (c) (4 points) determine the linearization L(x) of the function f(x) = Ýr at a = 27; (d) (4 points) use (c) to approximate the value 726.5 (express your answer as a rational number (a quotient); do not try to "simplify" it);
Find the linearization L(x,y) of the function at each point. f(x.y) = x2 + y2 + 1 a. (3,3) b. (1,3) a. L(x,y)=
(1 point) Find the linearization of the function f(x,y) = 72 - 4x² – 2y at the point (3, 4). L(x,y) Use the linear approximation to estimate the value of f(2.9, 4.1) f(2.9, 4.1)
1.
2.
(1 point) Let f(x,y,z) = 4x2 + xy + yz +5z?. Find the linearization L(x, y, z) of f(x,y,z) at the point (-1, -3, -1). L(x,y,z) = -5x-2y+72-3 Find an upper bound for the magnitude El of the error in the approximation f(x, y, z) ~ L(x, y, z) over the box |x +11 30.04, \y +31 < 0.04, 12 +11 30.04. E 3 (1 point) Let f(x, y) = 3 In(x) +2 In(y). Find the linearization L(av)...
7. (a) (1 point) Define the linearization L(c) of a function f at a point a; (b) (1 point) draw a picture which gives a geometrical intepretation of the linearization; (©) (4 points) determine the linearization (1) of the function f(x) = fx at a = 27; (d) (4 points) use (c) to approximate the value 726.5 (express your answer as a rational number (a quotient); do not try to "simplify" it);
Find the linearization L(x.y) of the function f(x,y)=x2 - 4xy+1 at P.(3,3). Then find an upper bound for the magnitude |El of the error in the approximation f(x,y)=L(x,y) over the rectangle R: 1x - 3|50.3, y-3|50.3. The linearization offis L(x,y)= The upper bound for the error of approximation is E(x,y) (Round to the nearest hundredth as needed.)
(1 point) Find the linearization of f(x) = V3x + 5 at the point x = 1. L(x) = 10+8% Preview My Answers Subraut Answers Your score was recorded. You have attempted this problem 4 times. You received a score of 0% for this attempt. Your overall recorded score is 0%. You have 2 attempts remaining. MacBook 금이 F3 888 F4 she 76 Du F2 F5 86 99 VB A ) # 3 $ 4 % 5 & 7 2...
Find the linearization of the functions given below at point po and the percantage of the error of the f(x, y) ~ L(x,y) opproach on the R rectongle. i]f(x,y) = xy2 +ycos(5x-1), A Pol1,5) R= |x-1 <0.1, ly-5/<0.15 in) f(x,y) = ln xt in 5y, Po(1,5) R: lx-1 <0.2, 14-51L0.15
est f(x) = 3x? -) Find the linearization L(x) off at a = 4. ) Use the linearization to approximate 3(4.1)? c) Find 3(4.1) using a calculator d) What is the difference between the approximation and the actual value of 3(4.1)? a) The linear approximation is L(x)= b) Using the linearization, 3(4.1)2 is approximately (Type an integer or a decimal.) c) Using a calculator, 3(4.1) is (Type an integer or a decimal.) d) The difference between the approximation and the...