MATHEMATICS COLLEGE

Round 3,721 to the nearest hundred.

Answers

Answer 1

Answer:

Answer: The answer is 3700

Answer 2

Answer:

Answer:3.72

Step-by-step explanation:

Related Questions

The only swimming pool at the El Cheapo Motel is outdoors. It is 5.0 m wide and 12.0 m long. If the weekly evaporation is 2.35 in., how many gallons of water must be added to the pool if it does not rain?
There are 6 people at a party. if each person must shake hands with other every other person at the party exactly once how many handshakes will there be
Please answer ASAP............
Find the area:A.16B.64C.256D.none of these
I need help on finding the height of a triangular pyramidif there’s no work, I don’t get creditI will give Brainliest

Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your answers to three decimal places.) f(x) = x9 − 9, x1 = 1.6

Answers

Answer:

Iteration 1: $x_(2)=1.446$

Iteration 2: $x_(3)=1.337$

Step-by-step explanation:

Formula for Newton's method is,

$x_(n+1)=x_n-(f\left(x_n\right))/(f'\left(x_n\right))$

Given the initial guess as $x_(1)=1.6$ , therefore value of n = 1.

Also, $f\left(x\right)=x^(9)-9$ .

Differentiating with respect to x,

$(d)/(dx)\left(f\left(x\right)\right)=(d)/(dx)\left(x^9-9\right)$

Applying difference rule of derivative,

$(d)/(dx)\left(f\left(x\right)\right)=(d)/(dx)\left(x^9\right)-(d)/(dx)\left(9\right)$

Applying power rule and constant rule of derivative,

$(d)/(dx)\left(f\left(x\right)\right)=\left(9x^(9-1)\right)-0$

$(d)/(dx)\left(f\left(x\right)\right)=9x^(8)$

Substituting the value,

$x_(1+1)=x_1-(f\left(x_1\right))/(f'\left(x_1\right))$

$x_(2)=1.6-(f\left(1.6\right))/(f'\left(1.6\right))$

Calculating the value of $f\left(1.6\right)$ and $f'\left(1.6\right)$

Calculating $f\left(1.6\right)$

$f\left(1.6\right)=\left(1.6\right)^(9)-9$

$f\left(1.6\right)=59.71947674$

Calculating $f'\left(1.6\right)$ ,

$f'\left(1.6\right)=9\left(1.6\right)^(8)$

$f'\left(1.6\right)=386.5470566$

Substituting the value,

$x_(2)=1.6-(59.71947674)/(386.5470566)$

$x_(2)=1.446$

Therefore value after second iteration is $x_(2)=1.446$

Now use $x_(2)=1.446$ as the next value to calculate second iteration. Here n = 2

Therefore,

$x_(2+1)=x_2-(f\left(x_2\right))/(f'\left(x_2\right))$

$x_(3)=1.446-(f\left(1.446\right))/(f'\left(1.446\right))$

Calculating the value of $f\left(1.446\right)$ and $f'\left(1.446\right)$

Calculating $f\left(1.446\right)$

$f\left(1.446\right)=\left(1.446\right)^(9)-9$

$f\left(1.446\right)=18.63851065$

Calculating $f'\left(1.446\right)$ ,

$f\left(1.446\right)=9\left(1.446\right)^(8)$

$f\left(1.446\right)=172.0239252$

Substituting the value,

$x_(3)=1.446-(18.63851065)/(172.0239252)$

$x_(3)=1.337$

Therefore value after second iteration is $x_(3)=1.337$

Final answer:

To calculate two iterations of Newton's Method, use the formula xn+1 = xn - f(xn)/f'(xn). Given an initial guess of x1 = 1.6 and the function f(x) = x9 - 9, calculate f(xn) and f'(xn) at x1 and then use the formula to find x2 and x3.

Explanation:

To calculate two iterations of Newton's Method, we need to use the formula:

xn+1 = xn - f(xn)/f'(xn)

Given an initial guess of x1 = 1.6 and the function f(x) = x9 - 9, we can proceed as follows:

Calculate f(xn) at x1: f(1.6) = (1.6)9 - 9 = 38.5432
Calculate f'(xn) at x1: f'(1.6) = 9(1.6)8 = 368.64
Calculate x2: x2 = 1.6 - f(1.6)/f'(1.6) = 1.6 - 38.5432/368.64 = 1.494
Repeat the process to find x3 using the updated x2 as the initial guess.

Learn more about Newton's Method here:

brainly.com/question/31910767

#SPJ3

Calculate 188 meters___________Yards

Answers

Answer:

205.599

Step-by-step explanation:

Answer:

205.599 yards

Step-by-step explanation:

1 meter = 1.09361 yards

Multiply 188 meters by 1.09361 yards

188 meters = (1.09361 yards) x (188 meters)

= 205.599 yards

Find the length of the missing triangle

Answers

Answer:

The pythagoras's theorem is the relation between the sides of a right-angles triangle, it shows that the square of the hypotenuse of the triangle will be equal to the sum of squares of the remaining sides

hypotenuse² = perpendicular² + base²

replacing the variables with the sides of the given triangle:

x² = 15² + 8²

x² = 225 + 64

x² = 289

x = √289

x = 17 mi

Simplify the expression 8^2 + 9 (12/3 x 2)-7. Explain each of your steps