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All the integrals below are understood in the sense of the Lebesgue.
(1) Prove the following equality which we used in class without proof. As-sume that f integrable over [3; 3]. Then
(2) Assume that f is integrable over [0; 1]. Show that
is di erentiable a.e on (0; 1).
(3) Assume that f is continuous on [0; 1]. Suppose that
Amy purchased 6 books at $4.79 each. How much did the books cost altogether? Multiply 6 by $4.79; 6 × $4.79 = $28.74.
G raph y = sec ( x ) Solution: As with tangent we will have to avoid x's for which cosine is zero (recall that sec x =1/ cos x) Secant will not present at
Maximize P=3x+2y Subject to x+y =6 x =3 x =0,y =0
given dimensions: 130cm, 180cm, and 190cm is to be divided by a line bisecting the longest side shown from its opposite vertex. what''s the area adjacent to 180cm? ;
The value of y that minimizes the sum of the two distances from (3,5) to (1,y) and from (1,y) to (4,9) can be written as a/b where a and b are coprime positive integers. Find a+b.
What is Dividing Fractions? If you want to divide two fractions, you invert the second fraction (that is, turn it upside-down) and change the division sign to a multiplication
there are 300 students in the sixth grade. if 40% of them were girls, how many boys were there?
Integrals Involving Quadratics To this point we have seen quite some integrals which involve quadratics. Example of Integrals Involving Quadratics is as follow: ∫ (x / x 2
#question.2157\7625.
Verify Liouville''''''''s formula for y "-y" - y'''''''' + y = 0 in (0, 1) ?
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