er = 1 + x + (x2/2) is used when x is small. The a Use the RemainderEstimation Theorem to estimate the erro when |x< 0.1. er = 1 + x + (x2/2) is used when x is small. The a Use the RemainderE...
Use the Alternating Series Estimation Theorem to estimate the error that results from replacing e^-x by 1-x+ (x^2)/2 when 0< x < 0.5 please show work
1) Use difference quotients with Ar=0.1 and Ay=0.1 to estimate f: (2,3) where f(x,y) = 13e" cos 2 y
6. Use the Divergence Theorem to evaluate SSF. ds, where Ể(x, y, z) = (x/x2 + y2 + z2 , yvx2 + y2 + z2 , z7 x2 + y2 + z2 ) and S consists of the hemisphere z V1 – x2 - y2 and the disk x2 + y2 = 1 in the xy-plane.
7. (a) State Stoke's Theorem. (b) Use Stoke's theorem to evaluate curl(F)d where F(x, y, z)-< x2 sin(z), y2, xy >, and s is the part of the paraboloid z = 1-2-1/2 that lies above the xy-plane. 7. (a) State Stoke's Theorem. (b) Use Stoke's theorem to evaluate curl(F)d where F(x, y, z)-, and s is the part of the paraboloid z = 1-2-1/2 that lies above the xy-plane.
Q2- Use Taylor's method of order n=2 to estimate y(1.3) when solving the IVP: y' - y2 – x2 = 1 , 0 SX S1, y(0) = 1 Take h = 0.1
Use the alternating series estimation theorem to determine how many terms should be used to estimate the sum of the entire series with an error of less than 0.001 1 (-1)n +1 3 n=1 26n n + or more terms should be used to estimate the sum of the entire series with an error of less than 0.001
Use Stokes' Theorem to evaluate. 8. Use Stokes, Theorem to evaluate J, ▽ x ที่ do, where F(x, y, z)-(z2yz,yz2,23ezy and s is part of the sphere x2 + y2 + z-5 that lies above the plane z-1. Also, s is oriented upward. 8. Use Stokes, Theorem to evaluate J, ▽ x ที่ do, where F(x, y, z)-(z2yz,yz2,23ezy and s is part of the sphere x2 + y2 + z-5 that lies above the plane z-1. Also, s is oriented...
1 point) Use Stoke's Theorem to evaluate (▽ × F)·dS where M is the hemisphere x2 + y2 + z2-16, x > 0, with the normal in the direction of the positive x direction, and F (x6,0,yl) Begin by writing down the "standard" parametrization of ЭМ as a function of the angle θ (denoted by "t" in your answer) a F-dsf(0) de, where f(θ) = The value of the integral is (use "" for theta). 1 point) Use Stoke's Theorem...
1 Use the Divergence Theorem to compute the flux of the field y 5yz, arctan X COS s(y2)) out of the region E that lies between the spheres (x2 + z2 x2 + z x² + y² + 2² 25 and x2 + y2 + z 81 in the first octant.
Use Green's theorem to evaluate line integral F.dr, where F(x, y) = (y2 – x2)i + (x2 + y2)j, and C is a triangle bounded by y = 0, x = 6, and y = x, oriented counterclockwise.