1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nlexa [21]
3 years ago
15

Consider the following equations. f(x)= x^3 +3x^2 -2x+1 g(x)= x^2-5x+4 Approximate the solution to the equation f(x) = g(x) usin

g three iterations of successive approximation.
A. x =11/16

B. x=13/16

C. x=3/8

D. x= 7/8

Mathematics
2 answers:
Mashcka [7]3 years ago
6 0

Answer:

[deleted]

Step-by-step explanation:

Masja [62]3 years ago
5 0

Answer:

A. x = 11/16

Step-by-step explanation:

For the purpose here, it is convenient to rearrange the equation to f(x) -g(x) = 0. We know the root will be in the interval [0, 1] because (f-g)(0) = -3 and (f-g)(1) = +3. At each iteration, we evaluate (f-g)(x) at the midpoint of the interval to see which of the interval end points can be moved and still bracket the root.

Using the bisection method starting with the interval [0, 1] we find f(1/2)-g(1/2) < 0, so we can move the interval limits to [1/2, 1].

For the next iteration, we find f(3/4) -g(3/4) > 0, so we can move the interval limits to [1/2, 3/4].

For the third iteration, we find f(5/8) -g(5/8) < 0, so we can move the interval limits to [5/8, 3/4].

Then the root is approximately the middle of that interval:

x ≈ (5/8 +3/4)/2 = 11/16

_____

This value of x is 0.6875. The root is closer to 0.639802004233. The bisection method takes about 3 iterations for each decimal place of accuracy. Other methods can nearly double the number of accurate decimal places on each iteration.

You might be interested in
At the beginning of April, Owl Corporation has a balance of $12,000 in the Retained Earnings account. During the month of April,
Katarina [22]
<span>common stock: 8000 cash: 8000 5600 2400 1000 2500 1100 ----------- 10400 10200 +200 equip: 5600 notes recv: 6100 revenue: 6100 2400 ------- 8500 rent: 1000 wages: 2500 dividends: 1100 ------- 4600 ------------------------------- 8500 -4600 ------ 3900 - gross profits</span>
7 0
3 years ago
Which statement is true? All squares are rectangles. All quadrilaterals are rectangles. All parallelograms are rectangles. All r
azamat

Answer:

all squares are rectangles is true

Step-by-step explanation:

4 0
3 years ago
Help me!!!<br> Is for today!!!<br> And what is its congruency?
solniwko [45]

Answer:

Side-Side-Side (SSS) Congruence Property

Step-by-step explanation:

Congruence just means that two things are of the same size. For instance, if you have two congruent side lengths, they are the same length. In this picture, you can see that both triangles have a side with one dash and a side with two dashes. In geometry, to show that two lines are congruent you give them the same number of dashes, and therefore you know for sure that those two pairs of sides are congruent. Finally, the triangles share a side length, so you know that that side length is equal for them. Therefore, the appropriate congruence property here is SSS, since you know that three pairs of sides are congruent.

7 0
2 years ago
What number can go into 2470,121 and 45<br>​
Usimov [2.4K]

Answer:

Step-by-step explanation:

All of these numbers can be divided by 2, 3, 5, 7, 11, 13...

There is no whole number if you want to divide each number.

121 only goes into 1, 11, and 121. No other numbers have 11

45/2 = 22.5

45/3 = 15

45/5 = 9

2470/2 = 1235

2470/3 = 823.33333...

2470/5 = 494

121/2 = 60.5

121/3 = 40.33333...

121/5 = 24.2

4 0
3 years ago
A man weighs k kg. He goes on a diet and
Natasha_Volkova [10]

Answer:

His weight is 9/10 of what it used to be before.

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • In the problem what is 2×2?
    13·2 answers
  • What is the measure of YXZ
    10·1 answer
  • Need some help please <br><br>what is the equation of the axis of symmetry? ​
    14·1 answer
  • Solve for x. 2 1/2x − 3/4 (2x+5) = 38 ASAP
    13·1 answer
  • Leon is constructing the circumscribed circle for △PQR . He constructed the perpendicular bisectors of PR¯¯¯¯¯ and QR¯¯¯¯¯ .
    7·1 answer
  • Please Help Me! Find the missing length indicated. Leave your answer in simplest radical form.
    5·1 answer
  • The diagram shows the solid glass case for a clock. The case is a cuboid with a cylinder
    8·1 answer
  • Please help with this/
    10·1 answer
  • What is the decimal equivalent of 8/3?<br> A. 2.6<br> B. 0.375<br> C. 8.3<br> D. 26
    7·2 answers
  • What is the first partial product for this multiplication problem?<br> 506<br> X 213
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!