Approximate ; n = 2, by (a) the trapezoidal rule, (b) the midpoint rule, and (c) then find the exact value of the integral.Enter just a, b, c where a, b are real numbers rounded to two decimal places, and c is a reduced fraction of form  all unlabeled and answering the questions in order, separated by commas.

Fill in the blank(s) with the appropriate word(s).


4.83, 5.46, 16/3

Mathematics

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Find the first few nonzero terms of the Maclaurin series for the given function.f(x) = sin2 x

A. x2 - 2x4 + x6 - . . .
B. x2 - x4 + x6 - . . .
C. x2 + x4 + x6 - . . .
D. x2 + 8x4 + 32x6 - . . .

Mathematics

Provide an appropriate response.Which pair(s) of events is (are) independent? A and B given the following: P(A) = 0.4, P(B) = 0.3, P(A and B) = 0.16 C and D given the following: P(C) = 0.4, P(D) = 0.3, P(C|D) = 0.4

A. Neither pair B. Both pairs C. C and D D. A and B

Mathematics

Provide an appropriate response.In an inequality, how do you determine which side of the boundary line to shade?

What will be an ideal response?

Mathematics

Add or subtract as indicated. - 

A.
B. - 
C. - 
D.

Mathematics