Area of the parabolic region = Integral of [a^2 - x^2 ]dx | from - a to a =
(a^2)x - (x^3)/3 | from - a to a = (a^2)(a) - (a^3)/3 - (a^2)(-a) + (-a^3)/3 =
= 2a^3 - 2(a^3)/3 = [4/3](a^3)
Area of the triangle = [1/2]base*height = [1/2](2a)(a)^2 = <span>a^3
ratio area of the triangle / area of the parabolic region = a^3 / {[4/3](a^3)} =
Limit of </span><span><span>a^3 / {[4/3](a^3)} </span>as a -> 0 = 1 /(4/3) = 4/3
</span>
Answer:
Please read all of this! Underlined things are the answers. The area of the entire circle is 19.625
Step-by-step explanation:
(This is a circle so the middle line is the diameter. According to the attachment, the diameter is 5 cm. To find the area, we have to multiply π and the radius squared. The radius is half of the diameter.
5 ÷ 2 = 2.5
2.5² = 6.25
π = 3.14
3.14 x 6.25 = 19.625)
Ignore the top I just realized what I'm supposed to do but I left it there just in case you need help!
<u>The right and left shaded regions areas are 6.28 each.</u>
4 ÷ 2 = 2
2² = 4
3.14 x 4 = 12.56
Since this is a semi circle, we cut it in half.
12.56 ÷ 2 = 6.28
To find the top and bottom shaded region's areas, repeat the same steps.
3 ÷ 2 = 1.5
1.5² = 2.25
3.14 x 2.25 = 7.065
7.065 ÷ 2 = 3.5325
<u>The areas of the the top and bottom shaded regions are 3.5325 each.</u>
(1/7x +2/9x) +(3/8-1/8)= 23/63x+1/4
Answer:
C. reduce the probability that the sum of immaterial and/or undetected misstatements in the financial statements is less than materiality for the financial statements as a whole.
Step-by-step explanation:
This is the likely answer going by the relationship between the undetected misstatement and the materiality for the financial statements.
