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3 years ago

Which of the following should be avoided when proving a trigonometric identity?

Mathematics

1 answer:

White raven [17]3 years ago

7 0

Answer:

cosine

Step-by-step explanation:

fundamental trigonometric identities

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Ruben bought 2 large popcorn buckets and 4 small drinks for $20. Lucia bought 2

Korolek [52]

Answer:

4$ for large 3$ for a small

Step-by-step explanation:

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2 years ago

_______ + 8r2s4 – 3r3s3

Leno4ka [110]

You could say 8r+2 times s +4 or –5x2y4

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3 years ago

23f in verbal expression

adell [148]

23f in verbal expression"twenty-three f".

4 0

2 years ago

A carpenter started with a board that was 31 inches long. He cut 2 pieces that were each 3 inches long. He then cut 3 pieces tha

rosijanka [135]

One inch of board is left
if you subtract the two 3 inches pieces from the board
the further subtract the 24 inches from the three 8 inches pieces you get 31-30

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3 years ago

An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let

Advocard [28]

Answer:

$P(t)=3,000,000-3,000,000e^{0.0138t}$

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

$P'(t)=K(3,000,000-P(t))$

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

We have and ordinary differential equation of first order that we can write

$P'(t)+KP(t)= 3,000,000K$

The <em>integrating factor </em>is

$e^{Kt}$

Multiplying both sides of the equation by the integrating factor

$e^{Kt}P'(t)+e^{Kt}KP(t)= e^{Kt}3,000,000*K$

Hence

$(e^{Kt}P(t))'=3,000,000Ke^{Kt}$

Integrating both sides

$e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C$

$e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C$

$P(t)=3,000,000+Ce^{-Kt}$

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

$e^{-50K}=\frac{1}{2}\Rightarrow K=-\frac{log(0.5)}{50}=0.0138$

And the equation that models the number of people (in millions) who become aware of the product by time t is

$P(t)=3,000,000-3,000,000e^{0.0138t}$

5 0

3 years ago