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2 years ago

What is the period of y=3cot(4x−3π)

1 answer:

4 0

Hello!

hint: we can rewrite your function as below:

3/tan(4x−3π) = 3(1+tan4xtan3π)/tan4x−tan3π =

=3/tan(4x) = 3cot(4x)

now, since the period P of cotangent function is pi, then the period of cot(4x), which is the period of our original function, is such that:

"4P=π"

Hope this Helps! Have A Wonderful Day! :)

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Given vectors A (2,-1,5), B (4,3,-2) & C (5,4,0), find:?

MrRissso [65]

A) 4a - 3b + 2c

4(2, -1, 5) - 3(4, 3 , -2) + 2(5, 4, 0) = (8, -4, 20) - (12, 9, - 6) + (10, 8, 0) =

= (8 - 12 + 10 , -4 - 9 + 8 , 20 + 6 + 0) = (6, - 5, 26)

Answer: (6, - 5, 26)

b) magnitude of vector b

$\sqrt{4^2+3^2+(-2)^2} = \sqrt{16+9+4} = \sqrt{29} ~ 5.4$

c) vector of length 7 parallel to vector c

=> m(5,4,0) = (5m,4m,0)

=> $\sqrt{(5m)^2+(4m)^2+0}= \sqrt{25m^2+16m^2}= \sqrt{41m^2}=m \sqrt{41}=7$

=> m = 7 / √41 ≈ 1.093

=> 1.093 (5, 4, 0) = (5.465 , 4.372, 0)

Answer: (5.465 , 4.372 , 0)

7 0

3 years ago

3) The distance between two villages is 1.9 km.

Dmitrij [34]

☽------------❀-------------☾

Hi there!

~

1:10000 would be the scale.

❀Hope this helped you!❀

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3 0

2 years ago

How many pints are in 15 1/4 gallons?

KengaRu [80]

Answer:

122

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Which has a faster rate of change?

Ugo [173]

If your talking about the graph with x and y. The section that has a higher amount in total would be y. Apologies, if I confused myself on your question.

7 0

3 years ago

An initial investment of $100,000 at 12% interest is compounded weekly (use 52 weeks in a year). What will the investment be wor

ozzi

Answer:

$3644675.9

Step-by-step explanation:

The initial investment is $100000. The interest rate is 12%.

We are asked to determine the final amount the investment will become after 30 years if the interest is compounded weekly.

The weekly interest rate is $\frac{12}{52} = 0.231$ %.

Assuming 1 year equivalent to 52 weeks.

Hence, using the formula of compound interest the final sum will be

$100000(1 + \frac{0.231}{100} )^{(30 \times 52)}$

= $3644675.9 (Approximate)

8 0

3 years ago