Answer:
The answer is "
".
Step-by-step explanation:
please find the complete question in the attached file.

![=\frac{1}{10} (\frac{x^3}{3})^{5}_{-5}\\\\=\frac{1}{30}[5^3+5^3]\\\\=\frac{2}{30}(125)\\\\=\frac{1}{15} \times 125\\\\=\frac{25}{3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B10%7D%20%28%5Cfrac%7Bx%5E3%7D%7B3%7D%29%5E%7B5%7D_%7B-5%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B30%7D%5B5%5E3%2B5%5E3%5D%5C%5C%5C%5C%3D%5Cfrac%7B2%7D%7B30%7D%28125%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B15%7D%20%5Ctimes%20125%5C%5C%5C%5C%3D%5Cfrac%7B25%7D%7B3%7D)
Okay. So, based off of that, if you divide 1 1/2 (3/2) by 3/4, 3/2 * 4/3 is 12/6 or 2. 1/2 cups of raspberries is needed for each fourth of the cake. 1/2 * 4 = 2. Lin will need 2 cups of raspberries for the whole cake.
Answer:
The integral is equal to
for an arbitrary constant C.
Step-by-step explanation:
a) If
then
so the integral becomes
. (the constant of integration is actually 5C, but this doesn't affect the result when taking derivatives, so we still denote it by C)
b) In this case
hence
. We rewrite the integral as
.
c) We use the trigonometric identity
is part b). The value of the integral is
. which coincides with part a)
Note that we just replaced 5+C by C. This is because we are asked for an indefinite integral. Each value of C defines a unique antiderivative, but we are not interested in specific values of C as this integral is the family of all antiderivatives. Part a) and b) don't coincide for specific values of C (they would if we were working with a definite integral), but they do represent the same family of functions.
Answer:
ok so you should get -5/24 in simplest form.
Decimal form- -0.2083 repeating
Step-by-step explanation:
Hope this helped :)