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2 years ago

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If A 1 = 3 and A ( n + 1 ) = 2 A n , which equation represents the explicit formula for the sequence? A. A n = 2 · 3 n B. A n

= 2 · 3 n − 1 C. A n = 3 · 2 n D. A n = 3 · 2 n − 1

1 answer:

I am Lyosha [343]2 years ago

6 0

i dont know the awnser but if i did i would have told u

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Using Euler's relation, derive the following relationships:a. Cosθ=½(e^jθ+e^−jθ)b. Sinθ=½(e^jθ−e(^−jθ)

Montano1993 [528]

Answer:

a. cosθ = ¹/₂[e^jθ + e^(-jθ)] b. sinθ = ¹/₂[e^jθ - e^(-jθ)]

Step-by-step explanation:

a.We know that

e^jθ = cosθ + jsinθ and

e^(-jθ) = cosθ - jsinθ

Adding both equations, we have

e^jθ = cosθ + jsinθ

+

e^(-jθ) = cosθ - jsinθ

e^jθ + e^(-jθ) = cosθ + cosθ + jsinθ - jsinθ

Simplifying, we have

e^jθ + e^(-jθ) = 2cosθ

dividing through by 2 we have

cosθ = ¹/₂[e^jθ + e^(-jθ)]

b. We know that

e^jθ = cosθ + jsinθ and

e^(-jθ) = cosθ - jsinθ

Subtracting both equations, we have

e^jθ = cosθ + jsinθ

-

e^(-jθ) = cosθ - jsinθ

e^jθ + e^(-jθ) = cosθ - cosθ + jsinθ - (-jsinθ)

Simplifying, we have

e^jθ - e^(-jθ) = 2jsinθ

dividing through by 2 we have

sinθ = ¹/₂[e^jθ - e^(-jθ)]

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2 years ago

Martin uses his power saw every 15 seconds.How many times did he use it in one hour ?

Alina [70]

Answer:

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2 years ago

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Differentiate.<br><br> y = 4cot⁻¹ (4x²)

nevsk [136]

Isssssssssss this algebra

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2 years ago

A point R (-2,5) is mapped to point R',as described by a translation of 6 units to the rights and 7 units down.Mark R' on the co

laila [671]

Answer:

(4, -2)

Step-by-step explanation:

Given a point R (-2,5), if the point R' is described by a translation of 6 units to the rights and 7 units down, then the coordinate of R' will be;

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R' = (-2+6, 5-7)

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2 years ago

Help me please it hardddd

iogann1982 [59]

There are a total 40 cars

and there is x yellow cars

and there are nine times as much white cars (9x white cars) lol

so x+9x=40

simplify 10x=40

divide both sides by ten 10x/10=40/10

x=4

we are looking for the number of WHITE cars sooo we multiply by 9-

9x=36

how is this "hardddd" no offence*

sorry im a mean person

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2 years ago