5

Problem Statement

{1,2,3,4,6,9,12,18,36}

12+3

{3}

12+36/12

15+15

15+2*15

15+3*15

15*15

round(pow(cos(3.1416/15),2),4)

round(pow(cos(30*3.1416/225),2),4)

round(pow(cos(45*3.1416/225),2),4)

round(pow(cos(60*3.1416/225),2),4)

round((3.1416/15)*(0.9568+0.8346+0.6545+0.4477),4)

Calculate the L₄ approximation for on .

Step 1

To calculate rectangular approximations to area using the left-endpoint with four subintervals, L₄, for the given function, divide into equal subintervals so that the width of each rectangle is , where a, b are the endpoints of the interval and N is the number of rectangles.

Question Sequence

Question

Find .

A.

B.

C.

D.

Correct.

Incorrect.

Step 2

The formula for left-endpoint approximation is .

Substitute N = 4 and in the formula and simplify.

Question Sequence

Question

For find .

(Round your answers to four decimal places.)

Correct.

Incorrect.

Step 3

Question

Using the values found in step 2, find the approximation of over the given interval correct to four decimal places.

Correct.

Incorrect.