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3 years ago

PLease help asap

Mathematics

2 answers:

liubo4ka [24]3 years ago

8 0

Nvm disregard or delete this... wrong answer

iris [78.8K]3 years ago

4 0

I hope my image satisfies your query. Have a good one :)

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(1 point) Let f be a periodic function of period 10 such that f(x)=x2 for −5≤x<5. Then the Fourier series of f is

ehidna [41]

Answer:

The answer is " $\frac{25}{3}$ ".

Step-by-step explanation:

please find the complete question in the attached file.

$a_0=\frac{1}{10}\int^{5}_{x=-5} x^2 dx\\$

$=\frac{1}{10} (\frac{x^3}{3})^{5}_{-5}\\\\=\frac{1}{30}[5^3+5^3]\\\\=\frac{2}{30}(125)\\\\=\frac{1}{15} \times 125\\\\=\frac{25}{3}$

7 0

3 years ago

Lin has picked 1 ½ cups of raspberries, which is enough for ¾ of a cake. How many cups does she need for the whole cake?

Llana [10]

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.

6 0

4 years ago

Order of Operations with and without variables

lyudmila [28]

I think the answer is -4

6 0

3 years ago

A. Evaluate ∫20 tan 2x sec^2 2x dx using the substitution u = tan 2x.

irakobra [83]

Answer:

The integral is equal to $5\sec^2(2x)+C$ for an arbitrary constant C.

Step-by-step explanation:

a) If $u=\tan(2x)$ then $du=2\sec^2(2x)dx$ so the integral becomes $\int 20\tan(2x)\sec^2(2x)dx=\int 10\tan(2x) (2\sec^2(2x))dx=\int 10udu=\frac{u^2}{2}+C=10(\int udu)=10(\frac{u^2}{2}+C)=5\tan^2(2x)+C$ . (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 $u=\sec(2x)$ hence $du=2\tan(2x)\sec(2x)dx$ . We rewrite the integral as $\int 20\tan(2x)\sec^2(2x)dx=\int 10\sec(2x) (2\tan(2x)\sec(2x))dx=\int 10udu=5\frac{u^2}{2}+C=5\sec^2(2x)+C$ .

c) We use the trigonometric identity $\tan(2x)^2+1=\sec(2x)^2$ is part b). The value of the integral is $5\sec^2(2x)+C=5(\tan^2(2x)+1)+C=5\tan^2(2x)+5+C=5\tan^2(2x)+C$ . 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.

3 0

3 years ago

Reduce to simplest form. <br> -7/12 +3/8

gayaneshka [121]

Answer:

ok so you should get -5/24 in simplest form.

Decimal form- -0.2083 repeating

Step-by-step explanation:

Hope this helped :)

4 0

3 years ago