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Bond [772]
3 years ago
5

Help I’ll give 25 points!! it’s a test btw

Mathematics
1 answer:
lukranit [14]3 years ago
8 0
The answer is Associative
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Estimate the minimum number of subintervals to approximate the value of Integral from negative 3 to 3 (2 x squared plus 9 )dx wi
vichka [17]

Answer:

The value of n for (a) n=425. (b) n=0.

Step-by-step explanation:

Given integration is,

\int_{-3}^{3}f(x)=\int_{-3}^{3}(2x^2+9)dx

(a) For Trapezoidal Rule : Composite error is,

E_T=-\frac{(b-a)^3}{12n^2}f''(x_m)

Where, f''(x_m)=greatest value of |f''(x)|= |4|=4, a=-3, b=3. Therefore to find the minimum number of subinterval,

|E_T|\leq | \frac{(b-a)^3}{12n^2}f''(x)||

\leq \frac{4(-3-3)^3}{12n^2}

=\frac{72}{n^2}

According to the question, we must choose n such that,

\frac{72}{n^2}

\implies n>424.2640686

So we can take n=425.

(b) For Simpson 1/3 rule : Composite error is,

E_S=-\frac{(b-a)^5}{180n^4}f^{(iv)}(x_m)

where, f^{(x_m)}=\textit{greatest value of} |f^{(iv)}(x)|

In this problem f^{(iv)}(x)=0, so that,

|E_S|\leq 0

that is there exist no error. So n=0.

6 0
3 years ago
Consider the following two circles. Circle P with center (-1, 2) and radius 3 and circle Q with center (3, 4) radius 5. What seq
KonstantinChe [14]

Answer:

<h2>B. Dilation centered at P, followed by reflection across the y-axis and then the line y = -x + 5</h2>

Step-by-step explanation:

<h3>Circle P.</h3>

Centerat (-1, 2).

Radius of 3.

<h3>Circle Q.</h3>

Center at (3, 4).

Radius of 5.

To carry one circle onto the other, their centers and radius must be the same.

So, circle P must be shifted from (-1, 2) to (3, 4), that means the translation is 4 units to the right side and two units upside, this is the first transformation.

The second transformation must be about stretching the circle P, from a radius of 3 to a radius of 5.

Therefore, the right answer is B.

4 0
3 years ago
A store sells 2 dozen cookies for $7.20 find the price per cookie
maria [59]

Answer:

$0.3 per cookie

Step-by-step explanation:

a dozen is 12 cookies. 2*12 = 24.

7.20/24 = 0.3

so each cookie costs 0.3 dollars

6 0
3 years ago
Read 2 more answers
Solution to this inequality. 72≥b+95
Olegator [25]

Answer:

b≤-23

Step-by-step explanation:

72≥b+95   Move terms

-b≥95-72   subtract

-b≥23

4 0
4 years ago
One factor of 7x2 +33x–10 is
PIT_PIT [208]

Answer:

OptionB

Step-by-step explanation:

6 0
4 years ago
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