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3 years ago

What is the percent of decrease from 100 to 49? Write your answer using a percent sign (%).

Mathematics

1 answer:

slavikrds [6]3 years ago

6 0

Answer:

Step-by-step explanation:

Decrease = 100 - 49 = 51

Percentage of decrease =

$=\frac{51}{100}*100$

= 51%

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A) Find a particular solution to y" + 2y = e^3 + x^3. b) Find the general solution.

Reptile [31]

Answer:

a.P.I= $\frac{e^{3x}}{11}+\frac{1}{2}(x^3-3x)$

b.G.S= $C_1Cos \sqrt2 x+C_2 Sin\sqrt2 x+\frac{1}{11}e^{3x}+\frac{1}{2}(x^3-3x}$

Step-by-step explanation:

We are given that a linear differential equation

$y''+2y=e^{3x}+x^3$

We have to find the particular solution

P.I= $\frac{e^{3x}}{D^2+2}+\frac{x^3}{D^2+2}$

P.I= $\frac{e^{3x}}{3^2+2}+\frac{1}{2} x^3(1+\frac{D^2}{2})^{-2}$

P.I= $\frac{e^{3x}}{11}+\frac{1-2\frac{D^2}{4}+3\frac{D^4}{16}+...}{2}x^3$

P.I= $\frac{e^{3x}}{11}+\frac{x^3-2\frac{\cdot3\cdot 2x}{4}}{2}+0}$ (higher order terms can be neglected

P.I= $\frac{e^{3x}}{11}+\frac{1}{2}(x^3-3x)$

b.Characteristics equation

$D^2+2=0$

$D=\pm\sqrt2 i$

C.F= $C_1cos \sqrt2x+C_2 sin\sqrt2 x$

G.S=C.F+P.I

G.S= $C_1Cos \sqrt2 x+C_2 Sin\sqrt2 x+\frac{1}{11}e^{3x}+\frac{1}{2}(x^3-3x)$

3 0

3 years ago

Please awnser use images for question

nalin [4]

Answer:

coordinate points

Step-by-step explanation:

variables: a symbol for a value we don't know yet. ex: x or y

numbers: I hope you know what they are cuz i dunno how to describe it ex: 2

coordinate points: a set of numbers that show position on a graph ex: (2,4)

operations: adding, subtracting, multiplying, dividing

8 0

2 years ago

How many solutions are there to this equation 3(x-4)+5-x=2x-7

Svetlanka [38]

3x-12+5-x=2x-7
2x-7 =2x-7

Means there are infinite solutions.

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3 years ago

What is the value of –21/6-1 1/4+1 3/4

aleksley [76]

It’s the answer pahaha

7 0

2 years ago

Read 2 more answers

The sum of two numbers is 981. One of the numbers is 703. What is the other number?

victus00 [196]

Answer:

Other number is 278.

Step-by-step explanation:

Given that

a + b = 981

One of the numbers = 703

We assume that it is a ; So

a = 703

Other number = b = ?

Put value of a in a + b

a + b = 981

703 + b = 981

b = 278

6 0

3 years ago