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9966 [12]
3 years ago
5

I Need Help! Which is the following ratios are equivalent to 6:9?Choose all that apply.

Mathematics
2 answers:
ValentinkaMS [17]3 years ago
8 0
I think the answer is a 3:2 because that is the ratio in the lowest term
Andreas93 [3]3 years ago
8 0
The answer is both B and C
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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
Please help me asap!!!
kolezko [41]

Answer:

The answer is A $100

Step-by-step explanation:

since 0 deposits is $50 and 1 deposit is $150

you do 150-50 which is 100

4 0
3 years ago
God loves you yesterday I went to church for the first time and I swear I felt his presence no matter what you do in life god wi
nirvana33 [79]

Answer:

Amen!

Thanks for it

5 0
3 years ago
Please help me with this
podryga [215]

Answer:

1          7

-120  -22

Step-by-step explanation:

you need to do top left top right bottom left bottom. in order to move x to the other side you need to subtract then divide by the negative.

4 0
3 years ago
My rectangular living room is 13ft x 19ft.what is perimeter
77julia77 [94]
64 ft, add 13 plus 13 and 19 plus 19 
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3 years ago
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