Since the degree of the numerator is less than the degree of the denominator, we don't need to divide. We factor the denominator as
Answers
Answer:
As given,
I = [tex]\int\limits {\frac{3x}{x^{2} - 2x} } \, dx[/tex]
Since the degree of the numerator is less than the degree of the denominator, we don't need to divide.
We factor the denominator as x(x-2)
The partial fraction decomposition is
[tex]\frac{3x}{x^{2} - 2x} = \frac{3x}{x(x-2)} = \frac{A}{x} + \frac{B}{x-2}\\ = \frac{A(x-2) + B(x)}{x(x-2)} \\[/tex]
we get
3x = A(x-2) + B(x)
⇒3x = x(A+B) - 2A
By comparing , we get
A+ B = 3 , -2A = 0
⇒A = 0 and B = 3- A = 3-0 = 3
∴ we get
A = 0, B = 3
Therefore, the integral become [tex]\int\limits {\frac{3x}{x^{2} - 2x} } \, dx = \int\limits {[\frac{0}{x} + \frac{3}{x-2} ] } \, dx[/tex]
Related Questions
2x+3y=5×-y missing value
Answers
Answer:
y= 5/3 - 2x/3
Step-by-step explanation:
what is the answer to 25=9y+3=
Answers
Answer:
25 = 9y+3
Transposing (3) to the L.H.S.:
= 25-3 = 9y
= 22 = 9y
Transposing (9) to L.H.S.:
= 22÷9 = y
= 2.444444444444444.......................
= 2.44
Answer:
y=2.44......
Step-by-step explanation:
25 = 9y+3
Transposing (3) to the L.H.S.:
= 25-3 = 9y
= 22 = 9y
= 22÷9 = y
= 2.444444444444444.......................
= 2.44
cual es la altura del monton de libros situados en el cesped
Answers
Answer:
depende de cuantos libros sean y cuanto tiene cada uno de los libros
The rectangle shown below has a diagonal of 15 cm and a width of 7 cm. To the nearest centimeter, what is the length, x, of the rectangle? Round your answer to the nearest tenth. 15 7 X
Answers
Ziv's taxicab ride cost $33. He left a 15% tip.
What was the total cost of the taxicab ride with tip?
Enter your answer in the box.
Answers
Answer:
Step-by-step explanation:
1. Find 15% of $33 to find the tip.
Find 1% of $33 (move the decimal over 2 places to the left. $0.33
2. Multiply the 1% tip by 15%
33 * 15 = $4.95
3. Add $33 and $4.95
4.95 + 33.00 = $37.95 total
HELP ASAP PLZ 100 points
THE POINTS PLOTTED BELOW ARE ON THE GRAPH OF A POLYNOMIAL. IN WHAT RANGE OF X-VALUES MUST THE POLYNOMIAL HAVE A ROOT? CHECK ALL THAT APPLY.
0 to 1
1 to 2
4 to 5
2 to 3
5 to 6
Answers
Answer:
5 to 6
0 to 1
Step-by-step explanation:
Just did the quiz
Help me pleaseeeeeeeeee
Answers
Answer:
y = 3x + 4
Step-by-step explanation:
✔️First, find the slope using any two given pairs form the table, say (2, 10) and (5, 19):
Slope (m) = ∆y/∆x = (19 - 10) / (5 - 2) = 9/3
m = 3
✔️Find y-intercept (b) by substituting (x, y) = (2, 10) and m = 3 into y = mx + b
10 = 3(2) + b
10 = 6 + b
10 - 6 = b
4 = b
b = 4
✔️Write the equation by substituing m = 3 and b = 4 into y = mx + b
y = 3x + 4
Priya’s family exchanged 250 dollars for 4,250 pesos. Priya bought a sweater for 510 pesos. How many dollars did the sweater cost?
Answers
Answer:
The sweater cost 30 dollars.
Step-by-step explanation:
Set up a proportion
x/510 = 250/4250 Multiply both sides by 510
x = 250 * 510/4250 multiply 250 * 510
x = 127500 / 4250 Divide by 4250
x = 30
try filling out the table.
4250 250 dollars
425 25 dollars
425/25 1 dollar
17 1 dollar
17*3 3 dollars
51 3 dollars
51*10 30 dollars
510 30 dollars.
i need the selling price pls ty.
Answers
Answer:
Discount: 26,82
Selling price: 122,18
pla help asp!!!!!!!!
Answers
Answer:
the answer is p + 7 = < 50
Step-by-step explanation:
hope this helps
40 divided by 7 =? help help help
Answers
Answer:
5.714285714 or 5.71
Step-by-step explanation:
Use a calculator
Mrs. Floyd and Mrs. Lopez went to lunch yesterday. Mrs. Floyd ordered
a tuna sandwich for $3.75 with a lemonade for $1.75. Mrs. Lopez ordered
stuffed grape leaves for $4.25 and iced-tea for $1.45. What was the total
bill for both lunches?
Answers
Answer: $11.20
Step-by-step explanation:
Add up all the amounts listed to get your answer
1.75
4.25
1.45
———
$11.20
make sure you line up the numbers btw
12.1 times 17.6 what is the area
Answers
Answer:
The answer I got was 532.4 on the calculator
Step-by-step explanation:
Answer:
532.4
Step-by-step explanation:
Adding (4-7i)+(-11+9i)
Answers
your answer is -7+16i, because 4-11=-7 and 7i+9i is 16i
This is the trial balance
Answers
Answer: 74.150 + 774.150=1,548.3
in Addition as for muliplcation it is 74.150 * 774.150
57,403.2225 which one were you asking for also I hope this helps out.
Calculate the state income tax owed on a $90,000
per year salary.
tax = $[?]
Answers
Answer:
$4918
Step-by-step explanation:
first income must be divided according to tax bracket
2% tax on first 3000 income= 2% of $3000=$60
3% tax on income after first 3000 but upto 5000= 5000-3000= $2000
=3% of 2000= $60
5% tax on income after second 5000 but upto 12000= 17000-5000
=12000 5% of $12000= $600
Lastly, 5.75% income over 17000=
90000-17000= $73000 so, 5.75 % of 73000= $4197.5
tax= $60+60+600+4197.5
= $4917.5
= $4918
do this and show ur work
Answers
Answer: 4.25, 15, and 38.7°
Step-by-step explanation:
Use SOHCAHTOA
Sine is opposite over hypotenuse
Cosine is adjacent over hypotenuse
Tangent is opposite over adjacent
1.) tan(28) = x/8
8*tan(28) = x
x = 4.25
2.) tan(28) = 8/x
8/tan(28) = x
x = 15
3.) tan(x) = 4/5
x = arctan(4/5)
x = 38.7°
HWLP GIVING OUT 40 POINTS.
Which of these statements are true. Have a nice day.
Answers
Answer: you are giving out 20 points not 40 .-.
Step-by-step explanation:
Answer:
A & D ig??
Step-by-step explanation:
in not 100% sure
if im correct, thanks this helped you!.
Guys please help me with this question
Answers
Answer:
y=4/3x+15 1/3 (or) y=4/3x+46/3
Step-by-step explanation:
If it’s parallel, it has to have the same slope (4/3).
Plug 7 in for x, and then find out what you have to do to make y equal -6.
y=4/3x+15 1/3 (or) y=4/3x+46/3
can somebody help? :(
Answers
Answer:
What is the question??????????
Rewrite each of the following as equivalent expressions without the use of negative or zero exponents
Remember your order of operations
Answers
Answer:
Step-by-step explanation:
1/5³
1
1/2⁵
4
1
y⁴/x²
Graph the solution of the inequality -x+y > 2
Answers
Answer:
Included in the picture attached
Step-by-step explanation:
Desmos graphing calculator
find the value of x, (x+6) 56 degrees
Answers
After transposing the integers to the other side of the equation: (x+6)+56=90
You get x as 28
Tanya wants to wrap the box
shown. The wrapping paper
costs $0.15 per square foot.
How much will the decorative
paper cost?
3 in
5 in
9 in
026 10
Answers
Which represents the solution(s) of the graphed system, y= -x^2+x+2 and y= -x+3
A) (1,2)
B) (1,2) and ((0,3)
C) (-1,0) and (2,0)
D) (2,1)
Answers
Answer:
A
Step-by-step explanation:
I just know
agenthammerx Please help me on this I beg you
Answers
Answer:
48°∠Y ≅ ∠XStep-by-step explanation:
Question 1Prove that The two triangles are congruent
∠ABD ≅ ∠BDC - givenBD ≅ DB - reflexive property∠ADB ≅ ∠CBD - givenΔABD ≅ ΔCDB - ASA postulateFind the measure of angle C
∠A ≅ ∠C - Corresponding parts of congruent trianglesm∠C = m∠A = 180° - (62° + 70°) = 180° - 132° = 48°Question 2Given
ΔXYZ with XZ ≅ YZOpposite angles are corresponding to the sides.
Therefore the angles opposite to congruent sides are also congruent:
∠Y ≅ ∠XWhat is the ratio and percent of the rectangle below is shaded
Answers
Answer:
choice C) 1:3 and 33 1/3%
Step-by-step explanation:
Answer:
I think it's C
Step-by-step explanation:
cause 4/12 is 1:3
Help me pls this is due tomorrow I need help !!
Answers
Answer:
it's B.
Step-by-step explanation:
manuel knows that doubling either the width or length of a rectangle will double its area
Translate each statement to a linear inequality in two variables.
1. The total amount of 1-peso coins and 5-peso coins of Pedro in his bag is
Activity 1
more than P150.00.
2. Emily bought two blouses and a pair of pants. The total amount she paid
for the items is not more than P 980.00.
3. The sum of 20-peso bills (t) and 50-peso bills (1) is greater than P 420.00.
4. The difference between the weight of Hazel (h) and John () is at least 26
pounds.
5. Jimuel planted his small garden with okra and talong. The number of
okra crops (k) is twice more than the number of talong crops (i) and their
total is greater than 24.
Answers
How are you I'm lonely sooooo
Which of the following numbers is a multiple of 4?
Choose 1 answer:
(Choice A)
46
(Choice B)
22
(Choice C)
32
(Choice D)
14
Answers
Answer:
Oof - Use Khan academy
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
C is a multiple of 4 because you can multiply an integer by 4 to get 32.
8 * 4 = 32