Afunction f (t )defined on an interval 0less thantless thanl is given. find the fourier cosine and sine series of f and sketch the graphs of the two extensions of f to which these two series converge. f (t )equalsleft brace start 2 by 2 matrix 1st row 1st column 5 t comma 2nd column 0 less than t less than over equal 5 ; 2nd row 1st column 50 minus 5 t comma 2nd column 5 less than over equal t less than 10 endmatrix type the first four non-zero terms of the fourier cosine series of f.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

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step-by-step explanation:

umm. i dont know

you need to rotate this triangle about the origin 270 degrees clockwise to create the full square.

56 44 2 4

step-by-step explanation: