Consider the error formulas. |E| ≤

(b − a)3

12n2

[max |f ''(x)|], a ≤ x ≤ b

Trapezoidal Rule

|E| ≤

(b − a)5

180n4

[max |f (4)(x)|], a ≤ x ≤ b

Simpson's Rule

Use these to estimate the errors in approximating the integral, with n = 4, using the Trapezoidal Rule and Simpson's Rule.

6 1 (x − 1)2 dx 2

Which of the following would be a good name for the function that takes the weight of a box and returns the energy needed to lift it?

Pllz me also i will report if you are in for the 1. complete the table by converting each decimal to a fraction. repeating decimals. 0.31 0.125 0.1607 2. describe any patterns you noticed when converting the decimals in the table above.

Abilliard ball is struck by a cue. it travels 1 0 0 cm 100cm before ricocheting off a rail and traveling another 1 2 0 cm 120cm into a corner pocket. the angle between the path as the ball approaches the rail and the path after it strikes the rail is 4 5 ∘ 45 ∘ . how far is the corner pocket from where the cue initially struck the ball? do not round during your calculations. round your final answer to the nearest centimeter.