Answer:
[tex]p(t) = \frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) }[/tex]
g(t) = 0
And
The differential equation [tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex] is linear and homogeneous
Step-by-step explanation:
Given that,
The differential equation is -
[tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex]
[tex]e^{t}y' + (9t - \frac{1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t(t^{2} + 81 ) - 1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t^{3} + 729t - 1}{t^{2} + 81 } )y = 0\\y' + [\frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) } ]y = 0[/tex]
By comparing with y′+p(t)y=g(t), we get
[tex]p(t) = \frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) }[/tex]
g(t) = 0
And
The differential equation [tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex] is linear and homogeneous.
Please help me and if you can, could you please explain. Thank you :D
Answer: you said help so I’m not going to give the actual answer, just how to do it.
Step-by-step explanation:
You have to find the answer first. You work out the top and then you work out the bottom. Then divide the top by the bottom. YIU will get a number woth a power. The power is x that is your answer.
Answer:
Step-by-step explanation:
Write the standard equation of each circle below
Find a.
Write your answer in simplest radical form.
Answer:
[tex]a=10[/tex]
Step-by-step explanation:
This problem can be solved in a ridiculous number of ways. However, it is likely introduced as a special-triangle problem in this question, because 4 pieces of information are given opposed to the necessary 3 to solve the triangle.
Special Right Triangles:
In any 30-60-90 triangle, all sides are in the proportion [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse and [tex]x[/tex] is the side opposite to the 30 degree angle. Since we notice that the side we're solving for is directly opposite to the 30 degree angle, we know that the side marked [tex]10\sqrt{3}[/tex] must be [tex]x\sqrt{3}[/tex] and therefore we have [tex]a=\boxed{10}[/tex]
find the area of the figure with coordinates A (-6,1), B (2,1), C(-3,4), D(5,4)
Answer: The area of the figure is 24 units.
Step-by-step explanation:
After plotting, the given points on the graph, we can observe that it is a parallelogram(opposite sides are equal and parallel)
Height = 4-1 = 3 units
Base = 2-(-6) = 8 units
Area of parallelogram = Base x height
= 8 x 3 square units.
= 24 square units.
Hence, the area of the figure is 24 units.
i need help!! im struggling with this question
Answer:
1 gallon : 25.6 miles
Step-by-step explanation:
So, the way we can find the rate, or ratio between 2 units is to divide one unit by the other unit.
So basically, we see the first set of units is:
2 gallons - 51.2 miles
So basically, for every 2 gallons, there are 51.2 miles.
To find the ratio, or rate, we must find the miles per gallon.
We can do that by dividing both sides by 2:(g=gallons, m=miles)
2g/2=51.2/2m
=
g=25.6
So for every gallon, there is 25.6 miles.
We can write this as:
1 : 25.6
Hope this helps!
Answer:
25.6
Step-by-step explanation:
51.2/2=25.6
Please help with this
−12 = 2 + 5v + 2v
help me plzzzzzzzzzzzz
Answer:
v = - 2
Step-by-step explanation:
Given
- 12 = 2 + 5v + 2v ( subtract 2 from both sides )
- 14 = 7v ( divide both sides by 7 )
- 2 = v
Write each expression using exponents.
3/8 * 3/8 * 3/8=
Answer:
3/8^3
Step-by-step explanation:
the exponent is 3
Answer:
(3/8)^3
3^3 * 2^-9
Step-by-step explanation:
3/8 * 3/8 * 3/8 = (3/8)^3
= 3^3 * (1/8)^3 = 3^3 * (2^-3)^3 = 3^3 * 2^-9
can someone help me with this question? will give thanks!
Answer:
B. 63
Step-by-step explanation:
There are two similar triangles given in the diagram above. Since they area similar, they also have corresponding side lengths that are proportional.
Therefore:
(6 + 3)/3 = x/21
9/3 = x/21
3 = x/21
Cross multiply
21*3 = x
63 = x
x = 63
The triangles have a scale of 3: 5. What is the value of a? *
Answer:
Step-by-step explanation:
multiply the ratio by 24/5 and you have
72/5 : 24
or
14.4:24
Four coins are tossed in succession. What is the probability of getting all heads?
1/4
1/2
1/16
Answer:
1/16
Step-by-step explanation:
There is a 1/2 chance to flip a heads.
So, in this case, we would multiply 1/2 four times in reference to the coins being flipped a total of 4 times to find its probability.
1/2 x 1/2 x 1/2 x 1/2 = 1/16
Thus, there is a 1/16 chance that you'd get heads four times in a row.
Y/3+y/4=5/6
Find the LCD that would eliminate the fractions
Answer:
the answer is in the picture
how is 2/5 + 3/5 = 1
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.....
= 2/5 + 3/5 = 5/5 = 1(When you simplify both numbers, you get 1)
Hope it helps!
Brainliest pls!
Follow me! :)
Imagine cutting up a pizza into 5 slices
If you take 2 slices, then you take 2 out of the 5, so the fractional amount you took is 2/5 of the full pizza.
If your friend takes 3 slices, then she or he takes 3/5 of the full pizza
Adding the two fractional amounts should get us back to 1 full pizza, which is why 2/5+3/5 = 1.
-----------
We could say this:
2/5 + 3/5 = (2+3)/5 = 5/5 = 1
Dividing any number over itself, as long it's not zero, always leads to 1.
So that's why 5/5 = 1.
help please help me please
Answer:
B
Step-by-step explanation:
Only 1 because
1/1 = 1
2/1 = 2
The answer can't be 0 because we can't divide by zero.
The answer can't be 2 because you can't divide 1 by 2 without having a number with decimal places
Same thing for the 4
help fast please lol
Answer:
Between 0 and 3: decreasing
Between 3 and 4: constant (stays the same)
Between 4 and 8: decreasing
Step-by-step explanation:
This question is worth 20 points and I will mark brainliest
which expressions are equivalent to 2 (3h + 7) choose "equivalent" or "Not equivalent" for each expression.
6h+7
2+3h+7
6h+7+7
3h+3h+14
(3h+7) + (3h+7)
Answer:
2(3h+7)
=6h+14
6h+7+7 (True)
3h+3h+14 (True)
Can you help me with these questions
Answer:
7) Unfilled dot at 5 with a line going right
8) A filled dot at 8 with a line going right
9) Unfilled dot at 22 with a line going left
10) A filled dot 13 with a line going left
11) x < 9
12) x > 14
13) x ≤ 11
14) x ≥ 7
Step-by-step explanation:
> means greater than
≥ means greater than or equal to
< means less than
≤ means less than or equal to
If something is greater than the given number then the variable increases in value and will be on the right side of the number line
If something is less than the given number then the variable decreases in value and will be on the left side of the number line
If a variable is < or > the dot is unfilled because it does not include that number
If a variable is ≤ or ≥ the dot is filled because it includes the given number
Through: (-3,1), slope = 2
Answer:
y = 2x + 7
Stepy by-step explanation:
y = 2x + b
1 = 2(-3) + b
1 = -6 + b
7 = b
Solve for x. Round to the nearest tenth, if necessary.
P
29°
х
Q
-6.6
R
Answer:
The x in this question is 151 degrees
Answer:
13.6
Step-by-step explanation:
Please help me out with this problem :)
Find the maximum value of P= x + 6y subject to the following constraints
Answer:
I cant tell what the answer is cause X and Y dont have a value
Step-by-step explanation:
Answer:
p=9
Step-by-step explanation:
I need help
An amount of $16,000 is borrowed for 8 years at 7.25% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Answer:
$28009.05
Step-by-step explanation:
Let us use the formula A = P(1 + r/n)^(nt)
Step 1: Convert 7.25 to decimal
[tex]7.25\% = 0.0725[/tex] in decimal form
Step 1: Percent means 'per 100'. So, 7.25% means 7.25 per 100 or simply 7.25 over 100. [tex]7.25 \div 100\\\\= \frac{7.25}{100}\\\\= 0.0725[/tex] If you divide 7.25 by 100, you'll get 0.0725 (a decimal number).Step 2: Solve with the formula
[tex]A = 16000(1 + 0.0725)^8\\\\A= 28009.05[/tex]
Step 1: Add the numbers: [tex]1+0.0725=1.0725[/tex][tex]=16000\cdot \:1.0725^8[/tex][tex]=16000\cdot \:1.75056[/tex]Step2: Multiply[tex]=28009.05068[/tex]Find the measure of angle C
Answer:
ajnasnnanananandbabbabbansbansbz svabsvsb
Triangle JKL is similar to triangle MNO. Find the measure of side MN. Figures are
not drawn to scale.
L
O
2
J
K
1.4
M
N
0
Answer:
4.2
Step-by-step explanation:
If they're similar, the fraction between their sides need to be equal, so do this:
2/1.4 = 6/MN
6•1.4/2 = MN
MN = 4.2
अब पछताए होत कया जब चिडिया चुग गई खेत अनुचछेद लिखिए
Step-by-step explanation:
Go to the Indian Brainly.
I am Indian.
[tex]2x - 4 = 30[/tex]
Answer:
x=17
Step-by-step explanation:
2x-4=302x=30+42x=34x=34/2x=17stay safe healthy and happy.Answer:
x = 12
Step-by-step explanation:
2x - 4 = 30
2x = 30 + 4
2x = 34
x = 34/2
◆ x = 17
This is a Right answer
The radius of a circle is 19.2 in. Find the circumference to the nearest tenth.
Answer:
1
Step-by-step explanation:
Find the sum of the first 40 terms of the arithmetic sequence: 16,24,32,40
Answer:
320 is the answer
Step-by-step explanation:
8x40=320
i will give brainliest!! please help me, i appreciate it !!
Answer:
-4050
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
6x²y³ - 2x + 10
x = 5
y = -3
Step 2: Evaluate
Substitute in variables: 6(5)²(-3)³ - 2(5) + 10Exponents: 6(25)(-27) - 2(5) + 10Multiply: -4050 - 10 + 10Add: -4050Determine the value of x in the diagram.
If f(y) = e^(9y) + e^(-9y), find f'(y). Use exact values.
Given:
[tex]f(y)=e^{9y}+e^{-9y}[/tex]
To find:
The f'(y).
Solution:
Chain rule of differentiation:
[tex][f(g(x))]'=f'(g(x))g'(x)[/tex]
Differentiation of exponential:
[tex]\dfrac{d}{dx}e^x=e^x[/tex]
We have,
[tex]f(y)=e^{9y}+e^{-9y}[/tex]
Differentiate with respect to y.
[tex]f'(y)=e^{9y}\dfrac{d}{dx}(9y)+e^{-9y}\dfrac{d}{dx}(-9y)[/tex]
[tex]f'(y)=e^{9y}\cdot 9(1)+e^{-9y}\cdot (-9)(1)[/tex]
[tex]f'(y)=9e^{9y}-9e^{-9y}[/tex]
Therefore, the differentiation of the given function is [tex]f'(y)=9e^{9y}-9e^{-9y}[/tex].