Let consider the following table that gives the values of a function f at some specific points: 0 | 0.16666 | 0.5 | 0.25 | 0.111815+D 3D 0.75 |D+0.101315 |0.14285 Let I = f f(x)dx. Assume that composite Simpson's rule gives 0.16032 as approximation for the integral i with h=0.25 then: D=0.00612 O D=0.054415 O D=0.00682 D=0.00573

Q: Evaluate the improper integral or show that it diverges: 00 1 :- sin (x)

A: solve improper integral by using comparison test

Q: Evaluate the definite integral: 3 ƒ³₁ x(x² + 1)³/² dx. Give your answer correct to 2 decimal places.

A:

Q: evaluate  0∫π 0∫1 1/6∫1/2 xy sin z dxdydz

A:

Q: y = tan 8' [0, 2]

A:

Q: rt01+sin x +00 -dx x2

A: Here we will use  integration by parts  ∫uv dx= u ∫v dx -∫dudx∫vdxdx

Q: The error in the forward approximation of the x² sin (2x) at x = π/3 is: (use function f(x) step…

A:

Q: d rx Cos t dt dx J-x Vt2+1

A: Definition used -                 The first fundamental theorem of calculus -…

Q: In a rectangle, the width is one-third the length. The total perimeter is 40 inches. Find the length…

A: Solution: Given:    Width is one third of the length of rectangle     and the perimeter of rectangle…

Q: 40. Regression analysis makes use of the relationship between two or more quantitative variables so…

A: ...