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3 years ago

F(0) =2,and f(3) =5. if k =f(5),, whT is the value if k

1 answer:

3 0

The question in incomplete..f(x) maybe a polynomial of any degree and will yield varying results for each ..but assuming it's a linear equation , we would have f(x) = x +2 , So , F(5) = 7.

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Why is the answer to this integral's denominator have 1+pi^2

ss7ja [257]

It comes from integrating by parts twice. Let

$I = \displaystyle \int e^n \sin(\pi n) \, dn$

Recall the IBP formula,

$\displaystyle \int u \, dv = uv - \int v \, du$

Let

$u = \sin(\pi n) \implies du = \pi \cos(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Then

$\displaystyle I = e^n \sin(\pi n) - \pi \int e^n \cos(\pi n) \, dn$

Apply IBP once more, with

$u = \cos(\pi n) \implies du = -\pi \sin(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Notice that the ∫ v du term contains the original integral, so that

$\displaystyle I = e^n \sin(\pi n) - \pi \left(e^n \cos(\pi n) + \pi \int e^n \sin(\pi n) \, dn\right)$

$\displaystyle I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n - \pi^2 I$

$\displaystyle (1 + \pi^2) I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n$

$\implies \displaystyle I = \frac{\left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n}{1+\pi^2} + C$

6 0

2 years ago

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zmey [24]

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8 0

2 years ago

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What is 46 minutes before 7:00am?

Svet_ta [14]

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8 0

3 years ago

A cube has a side length of 7 cm a cylinder has a radius of 5 cm and a height of 4 cm

densk [106]

Answer:

Cube has larger volume than cylinder.

Step-by-step explanation:

Given:

Side of a cube = 7 cm

Radius of a cylinder (r) = 5 cm

Height of a (h) = 4 cm

Find:

Larger volume = ?

Computation:

Volume of cube = Side³

Volume of cube = 7³

Volume of cube = 343 cm³

$Volume\ of\ cylinder=\pi r^2h\\\\Volume\ of\ cylinder=\frac{22}{7} (5)^2(4)\\\\Volume\ of\ cylinder= 314.28$

Cube has larger volume than cylinder.

5 0

3 years ago

ANSWER FAST

brilliants [131]

Answer:

y = 1

Step-by-step explanation:

x + y = 16

x - y = 14 add the equations

--------------

2x = 30

x = 15

x + y = 16

15 + y = 16

y = 1

the numbers are 15 and 1

7 0

3 years ago

F(0) =2,and f(3) =5. if k =f(5),, whT is the value if k​

F(0) =2,and f(3) =5. if k =f(5),, whT is the value if k