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Crazy boy [7]
3 years ago
8

Which conditional has the same truth value as its converse?

Mathematics
1 answer:
zaharov [31]3 years ago
6 0
I think maybe A Im not 100% sure tho
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Use the mid-point rule with n = 4 to approximate the area of the region bounded by y = x3 and y = x. (10 points)
USPshnik [31]
See the graph attached.

The midpoint rule states that you can calculate the area under a curve by using the formula:
M_{n} = \frac{b - a}{2} [ f(\frac{x_{0} + x_{1} }{2}) +  f(\frac{x_{1} + x_{2} }{2}) + ... +  f(\frac{x_{n-1} + x_{n} }{2})]

In your case:
a = 0
b = 1
n = 4
x₀ = 0
x₁ = 1/4
x₂ = 1/2
x₃ = 3/4
x₄ = 1

Therefore, you'll have:
M_{4} = \frac{1 - 0}{4} [ f(\frac{0 +  \frac{1}{4} }{2}) +  f(\frac{ \frac{1}{4} + \frac{1}{2} }{2}) +  f(\frac{\frac{1}{2} + \frac{3}{4} }{2}) + f(\frac{\frac{3}{4} + 1} {2})]
M_{4} = \frac{1}{4} [ f(\frac{1}{8}) +  f(\frac{3}{8}) +  f(\frac{5}{8}) + f(\frac{7}{8})]

Now, to evaluate your f(x), you need to look at the graph and notice that:
f(x) = x - x³

Therefore:
M_{4} = \frac{1}{4} [(\frac{1}{8} - (\frac{1}{8})^{3}) + (\frac{3}{8} - (\frac{3}{8})^{3}) + (\frac{5}{8} - (\frac{5}{8})^{3}) + (\frac{7}{8} - (\frac{7}{8})^{3})]

M_{4} = \frac{1}{4} [(\frac{1}{8} - \frac{1}{512}) + (\frac{3}{8} - \frac{27}{512}) + (\frac{5}{8} - \frac{125}{512}) + (\frac{7}{8} - \frac{343}{512})]

M₄ = 1/4 · (2 - 478/512)
     = 0.2666

Hence, the <span>area of the region bounded by y = x³ and y = x</span> is approximately 0.267 square units.

6 0
4 years ago
Evaluate 5x-[21-(3-11)x] when x=-2​
mart [117]

Answer:

-15

Step-by-step explanation:

(5)(−2)−(21−(3−11)(−2))

=−15

HAve a wonderful day Brainliest Please.

3 0
3 years ago
Simplify 6x.h.x.2xm. please
mixas84 [53]

7x . h . 2xm


You can put together 6x and x

but since h, and 2xm arent alike terms, you cant combine


6 0
3 years ago
Pls help. And can someone tell me how give brainliest so i can give it?
labwork [276]

Answer:

n - 324 = 394

STEP BY STEP EXPLANATION

5 0
3 years ago
Determine the missing value the completes the equation 3/10+13/100=
fredd [130]

Answer:

0.43

Step-by-step explanation:

6 0
3 years ago
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