Find the linearization of the function f(x) = 5 + x2 at x = 2. Explain...
Find all the critical points of the function f(x) = x2 - 6x + 13. Explain how you arrive at your answer.
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)=
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)
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.)
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.
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?
woukd you mind checking my mistake? Find the linearization of the function f (x) = 74-0 at 2 = 3. L(x) = 5/2-X/2 回国 Evaluate the numbers v1.02 and V0.96 using the linearization. ✓1.02 ~ 3.02 ✓0.96 ~ 2.02
Find the linearization L(x,y) of the function f(x,y)=X - 9xy +7 at Po(5.2). Then find an upper bound for the magnitude El of the error in the approximation fix.y) LIX.y) over the rectangle R X-5 30.5, ly-2 30.5. The linearization of fis Lix,y)=
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.)
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