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2 years ago

Help! Please no links or I will report u!!

Mathematics

2 answers:

fenix001 [56]2 years ago

6 0

Answer:

Step-by-step explanation:

Lelu [443]2 years ago

3 0

Answer:

D.) y >= -2

Step-by-step explanation:

B is wrong; x > 0

C is wrong; y values are greater than or equal -2

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What is the antiderivative of sin^2(x)cos^2(x)?

marin [14]

Answer:

$\frac{x}{8}-\frac{\sin(4x)}{32}+C$

Step-by-step explanation:

[Most of the work here comes from manipulating the trig to make the term (integrand) integrable.]

Recall that we can express the squared trig functions in terms of cos(2x). That is,

$\cos(2x)=2\cos^2x-1 \\ \cos(2x)=1 - 2\sin^2x.$

And so inverting these,

$\cos^2x=\frac{1}{2} (1+\cos2x) \\ \sin^2x=\frac{1}{2} (1-\cos2x)$ .

Multiply them together to obtain an equivalent expression for sin^2(x)cos^2(x) in terms of cos(2x).

$\sin^2x \cdot \cos^2x =\frac{1}{2} (1-\cos2x) \cdot \frac{1}{2} (1+\cos2x) = \frac{1}{4}(1-\cos^2(2x)).$

Notice we have cos^2(2x) in the integrand now. We've made it worse! Let's try plugging back in to the first identity for cos^2(2x).

$\cos(2x)=2\cos^2x-1 \Rightarrow \cos(4x)=2\cos^2(2x)-1 \Rightarrow \cos^2(2x) = \frac{1}{2}(1+\cos(4x))$

So then,

$\sin^2x \cdot \cos^2x = \frac{1}{4}(1-\cos^2(2x)) = \frac{1}{4}(1-\frac{1}{2}(1+\cos(4x))) = \frac{1}{4}(1-\frac{1}{2}-\frac{1}{2}\cos(4x))=\frac{1}{8}(1-\cos(4x)).$

This is now integrable (phew),

$\int \sin^2x\cos^2x \ dx = \int \frac{1}{8}(1-\cos(4x)) \ dx = \frac{1}{8} \int (1-\cos(4x)) \ dx = \frac{1}{8}(x-\frac{1}{4}\sin(4x))+C.$

7 0

2 years ago

You can stuff envelopes twice as fast as your friend. Together, you can stuff 6750 envelopes in 4.5 hours. How long would it tak

Lynna [10]

If you're twice a fast then... we'll divide 6750 by 3, that equals 2250.
<span>Equation.. y=your friend and you would be 2y cuz you're twice as fast.
</span>y+2y=6750,
3y=6750
y=2250

Your friend stuffed 2250 in 4.5 hrs.
You (twice as fast) stuffed 4500 in 4.5 hrs.

Working alone, your friend can stuff 2250 in 4.5hrs so it would take 13.5hrs to stuff 6750.
Equation.. (6750/2250) x 4.5hrs = 13.5hrs

You can 4500 in 4.5hrs so it would take you 6.75 hrs to stuff 6750.
Equation.. (6750/4500) x 4.5hrs = 6.75 hrs.

4 0

2 years ago

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For a craft project, two equilateral triangles are taped together to create a quadrilateral

jolli1 [7]

Answer: Rhombus! Hope this is correct i am 99% sure

Step-by-step explanation:

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2 years ago

Please Help !!!!!!!!!!!

Lubov Fominskaja [6]

Answer:

It increases by 2 1/2 o^F

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

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2 years ago

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Help me do question 1. 2. and 3. for 100 points and brainlyest to the first answer. If you need the questions feel free to ask.

ZanzabumX [31]

1.
a. there are 16 nickels so circle 12
b. 12 times 5= 0.60
2.
a. 12 dimes
b. there are 12 dimes so circle 10 (1.00)
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b. circle 6 quarters (0.70)

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2 years ago

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