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Lady_Fox [76]
3 years ago
8

Find the number n that fits all of the conditions

Mathematics
1 answer:
finlep [7]3 years ago
7 0
Your answer would be 12
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What is the solution to the equation below?<br> 8-(x+10)=2x-1
dangina [55]
X = - 1/3 or an alternate form x = -0.3, x = -3 to the power of -1
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2 years ago
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Is this table a function or no?
KIM [24]
No, table a is not a function. It is not a function because no x coordinates can share the same y coordinates.
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What is 9 divided by 883
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How do you do these two questions?
nignag [31]

Step-by-step explanation:

(a) ∫₋ₒₒ°° f(x) dx

We can split this into three integrals:

= ∫₋ₒₒ⁻¹ f(x) dx + ∫₋₁¹ f(x) dx + ∫₁°° f(x) dx

Since the function is even (symmetrical about the y-axis), we can further simplify this as:

= ∫₋₁¹ f(x) dx + 2 ∫₁°° f(x) dx

The first integral is finite, so it converges.

For the second integral, we can use comparison test.

g(x) = e^(-½ x) is greater than f(x) = e^(-½ x²) for all x greater than 1.

We can show that g(x) converges:

∫₁°° e^(-½ x) dx = -2 e^(-½ x) |₁°° = -2 e^(-∞) − -2 e^(-½) = 0 + 2e^(-½).

Therefore, the smaller function f(x) also converges.

(b) The width of the intervals is:

Δx = (3 − -3) / 6 = 1

Evaluating the function at the beginning and end of each interval:

f(-3) = e^(-9/2)

f(-2) = e^(-2)

f(-1) = e^(-1/2)

f(0) = 1

f(1) = e^(-1/2)

f(2) = e^(-2)

f(3) = e^(-9/2)

Apply Simpson's rule:

S = Δx/3 [f(-3) + 4f(-2) + 2f(-1) + 4f(0) + 2f(1) + 4f(2) + f(3)]

S ≈ 2.5103

5 0
3 years ago
Diana has available 280 yards of fencing and wishes to enclose a rectangular area.
klasskru [66]
Oh hi ya gotta is it ok to say that you can do that with
8 0
2 years ago
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