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
natita [175]
3 years ago
6

Section 5.2 Problem 13:

Mathematics
1 answer:
MrMuchimi3 years ago
7 0

The characteristic equation is

r^2 + 14r + 50 = 0

with complex roots r = -7 ± i, so the characteristic solution is

y_c = C_1 \cos(7x) + C_2 \sin(7x)

whose derivative is

{y_c}' = -7C_1 \sin(7x) + 7C_2 \cos(7x)

Use the initial conditions to solve for the constants:

y(0) = 2 \implies 2 = C_1

y'(0) = -17 \implies -17 = 7C_2 \implies C_2 = -\dfrac{17}7

Then the particular solution is

\boxed{y(x) = 2 \cos(7x) - \dfrac{17}7 \sin(7x)}

You might be interested in
Please help me!!
Fittoniya [83]

Answer:

511.425

Step-by-step explanation:

Easy add them all together = 2045.7 then divide by how many numbers are there so 4 thats  511.425  and theres ur answer please mark me as brainlest!

7 0
3 years ago
I=PRT; if P=10, R=0.1 and I=200,
brilliants [131]
10 × 0.1 × t = 200
1 × t = 200
t = 200
4 0
3 years ago
Topic 11 lesson 11-4 homework help
Brilliant_brown [7]

Answer:

nice.

Step-by-step explanation:

Topic 11 lesson 11-4 homework

5 0
3 years ago
1) x² 2(x+y) - y^2 <br>2) x^4+ x^2y^2+ y^4​
spin [16.1K]

Answer: 1) Let's simplify step-by-step.

x22(x+y)−y2

Distribute:

=(x22)(x)+(x22)(y)+−y2

=x23+x22y+−y2

Answer:

=x23+x22y−y2

2)Let's simplify step-by-step.

x4+x2y2+y4

There are no like terms.

Answer:

=x4+x2y2+y4

5 0
3 years ago
A triangle with coordinates A(1,1),B(4,2),C(3,5) is translated three units down and five units to the left. What are the coordin
fgiga [73]

Answer:

When, in the course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume, among the powers of the earth, the separate and equal station to which the laws of nature and of nature’s God entitle them, a decent respect to the opinions of mankind requires that they should declare the causes which impel them to the separation.

He has refused to pass other laws for the accommodation of large districts of people, unless those people would relinquish the right of representation in the legislature; a right icalled together legislative bodies at places unusual, uncomfortable, and distant from the depository of their public records, for the sole purpose of fatiguing them into compliance with his measures.

He has combined with others to subject us to a jurisdiction foreign to our constitution, and unacknowledged by our laws; giving his assent to their acts of pretended legislation:

For quartering large bodies of armed troops among us;

For protecting them, by a mock trial, from punishment for any murders which they should commit on the inhabitants of these states;

For cutting off our trade with all parts of the world;

For imposing taxes on us without our consent;

For depriving us, in many cases, of the benefits of trial by jury;

For transporting us beyond seas to be tried for pretended offenses;

For abolishing the free system of English laws in a neighboring province, establishing therein an arbitrary government, and enlarging its boundaries, so as to render it at once an example and fit instrument for introducing the same absolute rule into these colonies;

For taking away our charters, abolishing our most valuable laws, and altering fundamentally the forms of our governments;

For suspending our own legislatures, and declaring themselves invested with power to legislate for us in all cases whatsoever.

He has abdicated government here, by declaring us out of his protection, and waging war against us.

He has plundered our seas, ravaged our coasts, burnt our towns, and destroyed the lives of our people.

He is at this time transporting large armies of foreign mercenaries to complete the works of death, desolation, and tyranny, already begun with circumstances of cruelty and perfidy scarcely paralleled in the most barbarous ages, and totally unworthy the head of a civilized nation.

He has constrained our fellow citizens, taken captive on the high seas, to bear arms against their country, to become the executioners of their friends and brethren, or to fall themselves by their hands.

He has excited domestic insurrections amongst us, and has endeavored to bring on the inhabitants of our frontiers, the merciless Indian savages, whose known rule of warfare is an undistinguished destruction of all ages, sexes, and conditions.

In every stage of these oppressions, we have petitioned for redress, in the most humble terms. Our repeated petitions have been answered only by repeated injury. A prince, whose character is thus marked by every act which may define a tyrant, is unfit to be the ruler of a free people.

Nor have we been wanting in attentions to our British brethren. We have warned them from time to time of attempts by their legislature to extend an unwarrantable jurisdiction over us. We have reminded them of the circumstances of our emigration and settlement here. We have appealed to their native justice and magnanimity, and we have conjured them by the ties of our common kindred, to disavow these usurpations, which would inevitably interrupt our connections and correspondence. They too have been deaf to the voice of justice and of consanguinity. We must, therefore, acquiesce in the necessity, which denounces our separation, and hold them, as we hold the rest of mankind, enemies in war, in peace friends.

We, therefore, the representatives of the United States of America, in General Congress assembled, appealing to the Supreme Judge of the world for the rectitude of our intentions, do, in the name, and by authority of the good people of these colonies, solemnly publish and declare, that these United Colonies are, and of right ought to be free and independent states; that they are absolved from all allegiance to the British Crown, and that all political connection between them and the state of Great Britain is and ought to be totally dissolved; and that, as free and independent states, they have full power to levy war, conclude peace, contract alliances, establish commerce, and to do all other acts and things which independent states may of right do. And for the support of this declaration, with a firm reliance on the protection of Divine Providence, we mutually pledge to each other our lives, our fortunes, and our sacred honor.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Take 387 add 29 multiply by 8 subtract 1725
    13·2 answers
  • The area of a rectangle was 15 cm. Every dimension was multiplied by a scale factor and the new area was 3.75 cm. What was the s
    12·1 answer
  • How do i rearrange a(x-y)=b(z-x) to make x the subject?
    13·1 answer
  • To get from home to work, Felix can either take a bike path through the rectangular park or ride his bike along two sides of the
    10·1 answer
  • Leon verified that the side lengths 21, 28, 35 form a Pythagoreom triple using this procedure
    11·2 answers
  • Look at each expression below. Indicate if each is equivalent to 64g – 40h. Select Yes or No for each expression.
    14·1 answer
  • NEED HELP ASAP PLEASE HELP ILL GIVE YOU BRAINLIEST
    7·1 answer
  • Help help help pls pls​
    15·1 answer
  • HELPPP PLEASEEEE………..
    9·1 answer
  • A rectangular prism has a length of 6 meters, a height of 8 meters, and a width of 5 meters. What is its volume, in cubic meters
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!