What is the table values for y=-x-12

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

Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's

ehidna [41]

Okay so I don’t have a pen or paper so i’m going to have to write out every step on my phone, let me know if I lose you at any point.

the fraction would be 4/29.16, because you need to equality split the bill between 4 people.

the long division would be:

____________
4|29.16

4 does not go into 2 so place a zero over 2.

0___________
4|29.16

4 goes into 29 seven times, so place 7 over 9. subtract 7x4 from 29.16.

07._________
4|29.16
(-)28
————————-
= 1.16

4 goes into 11 (ignore the decimal and the 6 for now) 2 times. subtract 2x4 from 11.

07.2________
4|29.16
(-)28
————————-
= 1.16
(-) 8
————————-
= .36

4 goes into 36 9 times. subtract 4x9 from 36.

07.29_______
4|29.16
(-)28
————————-
= 1.16
(-) 8
————————-
= .36
(-) 36
————————-
= 0

so your answer would be each person would pay $7.29. I hope this makes sense!!

8 0

3 years ago

Question 7 Essay Worth 5 points)

TEA [102]

Answer:This is a tricky question that Reina and Sam are multiplying (84)5 (73)9 and their work are (84)5 (73)9 = 84 + 573 + 9 = 89712 Reina's (84)5 (73)9 = 84-573-9 = 820727 Sam's Actually they are doing or multiplying using exponents. Reina's work (8*)s(7³)º=8*+5+ 73+9= 8° 712 This is incorrect because she added exponents instead of multiplying exponents Sams work (8*)5 (7³)º=84x5 73x9= 820 727 This is correct because Sam multiplied exponents correctly Exponents are multiplied not added.

7 0

3 years ago

What is the exact circumference of the circle?

damaskus [11]

To find the circumference of a circle, you can use the formula

πd, where d is the diameter of the circle.

In this instance, we can tell from the picture that the diameter of the circle is 16 inches.

Therefore, the exact circumference of the circle is

C. 16pi inches

4 0

4 years ago

Which of the following is irrational?<br> 2<br> v1.44<br> 1

kkurt [141]

Answer:

B

Step-by-step explanation:

B

3 0

3 years ago