9. Find the linearization L(x) of the function f(x) = Vx+5 at x = 4. Then,...
letter d please 1. Given y = Vx+3. a) Find the linearization L (x) of the function at a = 1. (3pts) b) Find the linear approximation of the function at a = 1 and use it to approximate 13.98 an 4.05. Are these approximations overestimates or underestimates? Why? (5pts) c) Calculate Ay and dy (round to 3 decimal places) d) Sketch a diagram to show the line with x= 1 and dx = Ar=0.5. segments with length Ar=dx, Ay,...
9. Let f(x) = 2Vx. a) Find the differential of the function. b) Find the linearization of f(x) at a = 4. c) Use your answer in part (a) to approximate the value of 2/3.
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);
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...
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)= e 3x cos (y) at the points (0,0) and RIN The linearization at (0,0) is L(x,y)= (Type an exact answer, using a as needed.) The linearization at 0. is L(x,y)= 0 (Type an exact answer, using a as needed.)
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.)
Find the linearization of the function f(x) = 5 + x2 at x = 2. Explain how you arrive at your answer.
4. (5 pts) For f(x) = 210 a. Find the linearization of f(I) at =1 b. Use your linearization to estimate (1.003) 10