est f(x) = 3x? -) Find the linearization L(x) off at a = 4. ) Use...
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.)
9. Find the linearization L(x) of the function f(x) = Vx+5 at x = 4. Then, use L(x) to approximate V10. Round your answer to 3 decimal places. (10 points)
Estimate linearization, actual value, and calculate percentage error 0.017 using the linearization L(x) of fix)= ex at a=0. (Round your answer to three decimal places.) Estimate e- し(-0.017) = Find the actual value of e-0.017 . (Round your answer to three decimal places.) Calculate the percentage error of Linear Approximation. (Round your answer to three decimal places.) 0.017 using the linearization L(x) of fix)= ex at a=0. (Round your answer to three decimal places.) Estimate e- し(-0.017) = Find the...
Find linearization of f(x) = 3x + 6 - at x = 6. х (A) L(x) = 17 -(x – 6) + 18 6 17 (B) L(x) = 6 (x – 6) – 18 (C) L(x) = 17 (x – 6) – 18 6 17 (D) L(x) = -5(x – 6) + 18
(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)
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,...
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.)
Let f be the function defined by f(x) = 12 exp(x2 – 3x). The function exp(u) is another name for e". a) Find L(x) the linear approximation to f at 3. L(x) = help (formulas) b) Use the Linear Approximation for f(x) = 12 exp(x2 – 3x) at 3 to estimate f(3.08). f(3 + 0.08) help (decimals). c) Find the error in the linear approximation to the value of f(3 + 0.08) that we found in part b). The error...
Consider the function f(x) = x ln(3x+1) (a) Find the derivative (b) Write the linearization of f at x = 2 (c) Use your linearization to estimate f(2.5) (d) Draw a sketch of the function in the space below, using a solid line for f(x). On the same coordinate plane, draw a sketch of the linearization using a dotted line. Please use values 0<x<5(or equal to) on the x-axis (e) Is your estimate from part c an overestimate or underestimate?
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);