MTH603 Quiz 4 by Smile

MTH603 CURRENT QUIZ 4 BY Smile(‘.’)

Very important Repeated quiz 4

1. Trapezoidal rule of integration of a define integral is of O(h2)
2. In multistep method, if we choose small step size

Increase

3. tabular function but give more error
4. dy/dx=t+ y initial condition y0=1 at t0=0 using modified Euler’s method, for the range 0≤t≤0.6 h=0.2
5. 2
6. points the maximum value of 2nd derivative f(x)=-(2/x) at x=4
7. dy/dx=t+y with initial condition y0=1 at t0=1 and h0=0.1 them k1 of RK o.2
8. accuracy of trapezoidal and Simpson’s rule Richardson’s extrapolation method
9. Adam mouton also known as Linear multistep
10. F(x) in the interval [a,b] gives Area under f(x) on [a,b]
11. dy/dx=t+ y initial condition y0=1 at t0=0 find 2nd term in Taylor series when t=1, y’=0.2 and h=0.1
12. 2
13. while employing trapezoidal and Simpson rules to evaluate the double integral numerically, by using trapezoidal and Simpson rule plain region
14. dy/dt=1-
15. By the lines x=a, x=b, y=c, y=d we shall employ either trapezoidal or Simpson’s rule, variable at time One
16. dy/dt=t+ y with the initial condition y0=1 at t0=1 find the 2nd term in Taylor series when t=1.5, y’=1.2
17. 6
18. dy/dt=y-t/y=t with the initial condition y=1 at t=0 find the 3rd term in Taylor series when t=0, y’’=0.2
19. 018
20. lead towards the numerical integration method All above choice are true
21. Adams-Bashforth is a multistep method True
22. To evaluate a define integral of tabular function f(x), linear approximate led to
23. points the minimum value of 2nd derivative f(x)=-(2/x) at x=1
24. in Trapezoidal rule, subinterval o equal length using—points n+1
25. in solving the differentiate equation by Euler’s method y(0.2) is calculate as
26. 02
27. Adams method are superior if output at many point True
28. K4 is K4=hf(tn+h1yn+k3)
29. Yn+1=yn+1/6(k1+2 k2+2k3 +k4) is Runge-Kutta’s formula
30. To evaluate a define integral of tabular function f(x), piecewise quadratic approximate led to Simpson’s rule
31. F(x) in continuous on [a,b] and we divide [a,b] even
32. dy/dx=y+x /y-x with initial condition y0=1 at x0=0 and h=0.2 them k2 of Runge-Kutta method o.22
33. dy/dx=t+y with initial condition y0=1 at t0=1 find the 3rd Taylor series when t=1.5 and y’=1 and y’’=1.2 o.1
34. K3 is K3=hf(tn+h/2,yn+k2/2)
35. trapezoidal and Simpson’s integration are just linera combination values independent
36. the area of trapezoid is obtained by adding the area of Rectangle
37. dy/dx=xy1/2 with initial condition y0=1 at x0=1 and h0=0.1 them k1 of Runge-Kutta o.1
38. dy/dt=y-t/y+t initial condition y0=1 at t0=0 find 2nd term in Taylor series when t=0.2, y’=0.3
39. 06
40. dy/dx=t+ y with initial condition y0=1 at t0=1 find the 3rd Taylor series when t=1 and y’=0.2 and y’’=2 and h=0.1
41. multiset method is that the local truncation error(L.T.E) true
42. simpson’s rule is a numerical method that approximate polynomial Quadric
43. in simpson’s rule, we can estimate the integral by---- adding
44. trapezoidal and Simpson rule with respect to ---- single
45. dy/dt=t+y with initial condition y0=1 at t0=0 find the 3rd Taylor series when t=0.5 and y’’=0.25 o.01325
46. dy/dt=1-
47. Yn+1=yn+1/6(k1+2 k2+2k3 +k4) k1 is K1=hf(tn,yn)