Find the general solution of the given system. Use a computer system or graphing calculator to construct a direction field and typical solution curves for the system
Answers
Answer:
hello your question is incomplete attached below is the complete question and solution
answer : general solution ( X ) = [tex]C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.[/tex]
Step-by-step explanation:
attached below is the detailed solution to determine the general solution of the given system
general solution ( X ) = [tex]C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.[/tex]
Related Questions
If on a scale drawing 100 feet are represented by 15 inches, then a scale of 1/2 inches represents how many feet
Answers
Answer:
3 1/3 feet
Step-by-step explanation:
100 feet : 15 inches
3 1/3 feet : 1/2 inch
Answer:
[tex]3\frac{1}{3}[/tex] feet
Step-by-step explanation:
Inches : Feet = 15 : 100
Let 'x' be the feet required to find
15 : 100 :: 1/2 : x
Product of extremes = product of means
15 * x = 100 * (1/2)
15 * x = 50
x = 50/15
x = 10/3
x = [tex]3\frac{1}{3}[/tex]
2. Convert the General form of a circle's equation to the standard form. Identify the center
and radius. x^2 + y^2 - 12x - 10y = -12
Answers
Answer:
Write in standard form.
(x−6)2+(y−5)2=49
Answer:
Step-by-step explanation:
Find 2 consecutive positive odd integers such that 4 times the larger is 29 more
than three times the smaller?
Answers
Answer:
21 and 23Step-by-step explanation:
Two integers are:
x and x + 2The equation and solution:
4(x + 2) = 3x + 294x + 8 = 3x + 294x - 3x = 29 - 8x = 21And
x + 2 = 23E
Find the equation of the line that is perpendicular to the given line and passes through the given point.
Enter the right side of the equation as a single fraction.
y =
5x - 3
-;(1,1)
4
The equation is y =
Answers
Answer:
y=(5x-3)/4
y=(5/4)x-3/4
Perpendicular slops come from reversing the numerator and denominator and making it negative so the new slope would be:
m=-4/5
Then you use point slope formula and plug in your values:
y-y1=m(x-x1)
y-1=-4/5(x-1)
y=(-4/5)x+9/5
Hope this helps you, have a night day/night.
Answer:
I don't know
Step-by-step explanation:
You make me brainest I have will answer
Perform the function compositions
Answers
Answer:
1. 4x^2-24x^2+37
2.16x^4+8x^2-2
Step-by-step explanation:
can someone help me plzzz
Answers
First you have to find the slope which you would do by labeling your coordinates So -5 is X1 and 3 is X2 and -3 is Y1 and -3 and Y2 is -6. This will help with finding the slope of you equation. So the set up would be Y2-Y1/X2-X1 so the equation would be -6- -3/ 3-5 which would give you 3/2. Then you take one of the coordinate points and your slope in a slope intecpet equation. So -3=3/2(-5)+b then solve. Which would be 9/2 then put you slope and b into a slope intercept equation so y= 3/2x+9/2 then to get it into Standard form you need to move your ex to the other side of the equation so -3/2x+y=9/2 in this equation can be simplified by multiplying two to each side so (2)3/2x+y=9/2(2) which would equal to 3x+2y=9
Is the amount of time it takes to download a file from the internet discrete or continuous?
Answers
Answer:
The amount of time that is spent downloading internet files is a continuous measurement and is not discrete, because it will always follow the same length of time that is estimated to download, but due to changes of internet WiFi connectivity and other background programs this can all affect the speed of the computer programs responsible for downloading the files.
Answer/Step-by-step explanation:
The amount of time that is spent downloading internet files is a continuous measurement and is not discrete, because it will always follow the same length of time that is estimated to download, but due to changes of internet WiFi connectivity and other background programs this can all affect the speed of the computer programs responsible for downloading the files.
hhheeelllppptukskuttttttt
Answers
Answer:
A
Step-by-step explanation:
what is the value of h in the triangle
Answers
Answer:
I think the answer is 7.2
How do you do this question?
Answers
Answer:
∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
Step-by-step explanation:
Start with the Maclaurin series for cos x.
cos x = ∑ₙ₌₀°° (-1)ⁿ x²ⁿ / (2n)!
Substitute ⅓ x².
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓ x²)²ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓)²ⁿ x⁴ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
Multiply by 8x.
8x cos (⅓ x²) = ∑ₙ₌₀°° 8x (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
8x cos (⅓ x²) = ∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
Which of the following statements best describes the modulus of a complex number? Select all that apply.
the absolute value of a complex number
the distance that a complex number is from the pole
the distance that a complex number is from the origin
the complex number squared
Answers
Answer:
Step-by-step explanation:
i beleive its the 1st or 3rd option
Find an equation of the tangent line to the of the function at the given point.
f(x) = 3x2 – In x (1,3)
The answer is 5x-y-2=0 but I don’t know how to get to it.
Answers
Step-by-step explanation:
The slope of the tangent line is equal to the derivative.
f(x) = 3x² − ln x
f'(x) = 6x − 1/x
f'(1) = 6(1) − 1/1
f'(1) = 5
Use point-slope form:
y − 3 = 5 (x − 1)
Simplify:
y − 3 = 5x − 5
0 = 5x − y − 2
Suppose Z3 = 24 - 22. Which quadrant contains z3?
O quadrant 1
O quadrant 11
O quadrant III
quadrant IV
Answers
Answer:
D
Step-by-step explanation:
i think
Help D: PLEASE STAT ON THE DOT
Answers
Answer:
Mitch made a mistake in step 1.
Step-by-step explanation:
7.7 = w - 2
Add two to both sides
7.7 + 2 = w - 2 + 2
9.7 = w is the right answer.
Anyway yeah he messed up on step 1 because he should have added the two on the other side instead of subtracting.
The real answer is 9.7
Abhasra bought nine fancy pens for a total of $44.01. How much did each pen cost?
A.) $4.21
B.) $4.89
C.) $4.42
D.) $396.09
Answers
Answer:
B.) $4.89
Step-by-step explanation:
44.01 ÷ 9 = 4.89
Answer:
B) $4.89
Step-by-step explanation:
44.01/9 = 4.89
44.01 = the total amount
9 = the amount of pens he got
to check your work you can do 4.89 x 9 which equals 44.01
Investors buy a studio apartment for 140,000. Of this amount, they have a down payment of 35,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $56,000 down payment be?
Answers
Answer:
25%40%Step-by-step explanation:
Cost of apartment = 140000Down payment = 35000Down payment of 35000 is:
35000/140000*100% = 25%Down payment of 56000 is:
56000/140000*100% = 40%Answer:32553
Step-by-step explanation:1,400x35000x 56000/ 140000
please help! refer to the picture!
Answers
Step-by-step explanation:
ans:
option
c
mark me as brainliest
First solve the second equation. Replace g (2) into that equation which just means replace 2 in the place of x. You should get f (3). Then, replace f (3) in the first equation which just means replace 3 in the x's.
(3 - 2)^3 (3^2 - 4) / 16
(1) (5) / 16
= 5/16
Martin spent $68 on a new drone that he had been saving for. Now, he has $41 left in his savings jar. Click the equation that could be used to find the total of his savings, s, before he bought the drone.
Answers
Answer:
Step-by-step explanation:
109
According to the U.S. Census Bureau, 11% of children in the United States lived with at least one grandparent in 2009 (USA TODAY, June 30, 2011). Suppose that in a recent sample of 1640 children, 225 were found to be living with at least one grandparent. At a 2% significance level, can you conclude that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%? Use both the p-value and the critical-value approaches.
Round your answers for the observed value of z and the critival value of z to two decimal places, and the p-value to four decimal places.
Answers
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.11[/tex]
The sample size is n = 1640
The number found to be living with at least one grandparent is [tex]k = 225[/tex]
The level of significance is [tex]\alpha = 0.02[/tex]
The null hypothesis is [tex]H_o : p = 0.11[/tex]
The alternative hypothesis is [tex]H_a : p > 0.11[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{ k }{n}[/tex]
=> [tex]\^ p = \frac{ 225 }{1640 }[/tex]
=> [tex]\^ p = 0.1372[/tex]
Generally the test statistics is mathematically represented as
[tex]z= \frac{\^ p - p }{ \sqrt{\frac{p(1- p)}{n} } }[/tex]
=>[tex]z = \frac{ 0.1372 - 0.11 }{ \sqrt{\frac{0.11(1- 0.11)}{1640} } }[/tex]
=>[tex]z = 0.0077[/tex]
From the z table the area under the normal curve to the left corresponding to 0.0077 is
[tex]p-value = P(Z > 0.0077) = 0.4969[/tex]
From the value obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
Fractions-3 3/7- 1 2/7=
Answers
Answer:
-4.714
Step-by-step explanation:
Answer:
1 (if the 3 3/7 is positive)
or
-4 5/7 (if the 3 3/7 negative)
Darren’s account was overdrawn by $150, before he deposited $480.
Answers
If the question is along the lines of how much money is in his account now then it would be 480+(-150)=$330
Which expressions correctly show "the sum of the product of 3 and 8 and the product of 12 and 2"? Select two that are correct. *
3 + 8 + 12 + 2
(12 × 2) + (3 × 8)
3 × 8 × 12 × 2
(3 + 8) × (12 + 2)
(3 × 8) + (12 × 2)
Answers
Answer:
The two correct expressions are:
(12 × 2) + (3 × 8)(3 × 8) + (12 × 2)Step-by-step explanation:
Let 'a' and 'b' be the two numbers.
When we say the product of 'a' and 'b', it
algebraically means: a × bLet 'c' and 'd' be the two numbers.
When we say the product of 'c' and 'd', it
algebraically means: c × dAnd when we say the sum of the product of 'a' and 'b' and the product of 'c' and 'd', it algebraically means:
(a × b) + (c × d)
or
(c × d) + (a × b)
as
(a × b) + (c × d) = (c × d) + (a × b)
So when we say "the sum of the product of 3 and 8 and the product of 12 and 2".
It algebraically means:
(12 × 2) + (3 × 8)
or
(3 × 8) + (12 × 2)
as
(12 × 2) + (3 × 8) = 24 + 24 ∵ 12 × 2 = 24, 3 × 8 = 24
= 48
(3 × 8) + (12 × 2) = 24 + 24 ∵ 3 × 8 = 24, 12 × 2 = 24,
= 48
Therefore, the two correct expressions are:
(12 × 2) + (3 × 8)(3 × 8) + (12 × 2)Write the equation so that a = 1: x2 + x =
Answers
The answer is : x^2 + x = x ( x + 1 )
What is algebraic equation ?
In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression.
There are various method through which we can solve or define the algebraic expression. One definition I have mentioned earlier..
To solve this equation
if a = 1, the equation x^2 + x = can be completed as follows :
x^2 + x = x ( x + 1 )
Therefore, the final answer is : x^2 + x = x ( x + 1 )
To know more about algebraic expression visit : https://brainly.com/question/953809
#SPJ1
what is x
4 x 3x = 48
Answers
Answer:
x=4
Step-by-step explanation:
4 x (3x4)=48
you do 48 divided by 4 equals 12. Then 12 divided by 3 and you get X = 4
28327472 x 3238287382
Answers
Answer:
Exact Form:
91732495141558304
Decimal Form:
9.17324951 ⋅ 10^16
Step-by-step explanation:
Use long multiplication to evaluate.
Hope this helps <3
5 x 4000 step by step for khan
Answers
Answer:
Step-by-step explanation:
5×4000
=20,000 answer
Please help me out quickkkkkkkkkkkkkk
Answers
Answer:
5 4/7 feet
Step-by-step explanation:
- a b – 3ab - C+ 3ab2 - 2a² b + ab
where a = -1, b = -3 and c = = 10:
Answers
Answer:
Step-by-step explanation:
-a b-3ab-C+ 3ab2 - 2a² b + ab
where a = -1, b = -3 and c = = 10:
= -(-1)(-3)-3(-1)(-3)-10+3(-1)(-3)2-2(-1)²(-3)+(-1)(-3)
= -(3)-(3)-10+6(3)-2(3)+3
=-3-3-10+18-6+3
=-22+21
= -1
For f(x) = -4x+2 find f(x) when x = -1 A. -2. B. 6 C. -4 D. 2
Answers
Answer:
The answer is letter B which is 6.
f(x) = -4x+2
f(x)=-4(-1)+2
f(x)=4+2
f(x)=6
A theater sold 1,802 tickets for
their Saturday evening
performance. This was 635 more
than the number of tickets sold
for the matinee performance. If
tickets cost $75 each, find the
total ticket sales for two
performances.
Answers
Answer:
the answer would be 2,969 also i think the cost of tickets is pretty useless
Step-by-step explanation:
Answer:2,969
Step-by-step explanation: