Find the linearization L(x.y) of the function f(x,y)=x2 - 4xy+1 at P.(3,3). Then find an upper...
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 at each point. f(x.y) = x2 + y2 + 1 a. (3,3) b. (1,3) a. L(x,y)=
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)...
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.)
(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)
15. Consider the function f(x, y) = x2 + 4xy - y2 and the point P(2,1). Find the vectors that give the direction of steepest ascent and steepest descent at P.
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...
Find the linearization of the function f(x) = 5 + x2 at x = 2. Explain how you arrive at your answer.
Consider the bivariate function f(x.y) = (x + y)/3 for 0< x< 1 and 0<y< 2 and f(x.y) = 0 3. otherwise. (a) Show that f(xy) is a density function. (b) Find the probability that both X and Y are less than one. (c) Find the marginal densities of X and Y and show that they are not independent. (d) Find the conditional density of X given Y when Y = 0.5.
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)