Answers
Step-by-step explanation:
∫ 9 arctan(1/x) dx
If u = 9 arctan(1/x), then:
du = 9 / (1 + (1/x)²) (-1/x²) dx
du = -9 dx (1/x²) / (1 + (1/x²))
du = -9 dx / (x² + 1)
If dv = dx, then v = x.
∫ u dv = uv − ∫ v du
= 9x arctan(1/x) − ∫ -9x dx / (x² + 1)
= 9x arctan(1/x) + 9/2 ∫ 2x dx / (x² + 1)
= 9x arctan(1/x) + 9/2 ln(x² + 1)
Evaluate from x=1 to x=√3.
[9√3 arctan(1/√3) + 9/2 ln(3 + 1)] − [9 arctan(1) + 9/2 ln(1 + 1)]
[9√3 (π/6) + 9/2 ln(4)] − [9 (π/4) + 9/2 ln(2)]
(3π√3)/2 + 9/2 ln(4) − (9π/4) − 9/2 ln(2)
(6π√3)/4 + 9 ln(2) − (9π/4) − 9/2 ln(2)
(6π√3 − 9π)/4 + 9/2 ln(2)
Answer:
[tex]9\left(\frac{1}{2}\ln \left(2\right)-\frac{\pi }{4}+\frac{\pi }{2\sqrt{3}}\right)[/tex]
Step-by-step explanation:
We are given the integral 9 arctan(1/x)dx on the interval x[ from 1 to √3 ].
Now let's say that u = arctan(1/x). The value of 'du' would be as follows:
du = - x / (1 + x²) * dx
If we apply integration by parts, v = 1, and of course u = arctan(1/x):
=> 9x arctan(1/x) − ∫ -9x dx / (x² + 1)
=> 9[x arctan(1/x) - ∫ - x / (1 + x²) * dx] on the interval x[ from 1 to √3 ]
Let's now simplify the expression ' ∫ - x / (1 + x²) * dx':
=> (Take the constant out, in this case constant = - 1), - ∫ x / (1 + x²) * dx
=> (Apply u-substitution, where u = 1 + x²), - ∫ 1/2u * du
=> (Take constant out again, in this case 1/2), - 1/2 ∫ 1/u * du
=> (Remember that 1/u * du = In( |u| )), - 1/2In( |u| )
=> (Substitute back 'u = 1 + x²), - 1/2In| 1 + x² |
So now we have the expression '9[x arctan(1/x) + 1/2In| 1 + x² |]' on the interval x[ from 1 to √3 ]. Let's further simplify this expression;
[tex]9\left[x\arctan \left(\frac{1}{x}\right)+\frac{1}{2}\ln \left|1+x^2\right|\right]^{\sqrt{3}}_1\\\\=> 9\left[\frac{1}{2}\left(2x\arctan \left(\frac{1}{x}\right)+\ln \left|1+x^2\right|\right)\right]^{\sqrt{3}}_1[/tex]
Now computing the boundaries we have the following answer:
[tex]9\left(\frac{1}{2}\ln \left(2\right)-\frac{\pi }{4}+\frac{\pi }{2\sqrt{3}}\right)[/tex]
Related Questions
C is the midpoint of BD. If BC = 6x and BD = 13x - 6, what is BD?
B.
6x
с
D
13x - 6
Answers
Answer:
BD = 72
Step-by-step explanation:
C is the midpoint of BD.
Therefore,
BD = 2BC
13x - 6 = 2*6x
13x - 6 = 12x
13x - 12x = 6
x = 6
BD = 2*6X = 12*6= 72
Who can get it right?
I had £3.00.
My Mom gave me £10.00.
My Dad Gave me £30.00.
My Aunt & Uncle gave me £100.00.
I had another £7.00.
How much did I have?
Right answer will get deleted.
I won against Laura leadbetter
Answers
the answer is 150 dollars
Step-by-step explanation:
I know this because you add
We want to perform a sum of various values. We will find that the total amount of money that you have is £150.00
We know that:
You initially have £3.00.Your Mom gives you £10.00.Your Dad gives you £30.00.Your Aunt & Uncle given you £100.00.You had another £7.00.So the total amount of money that you have is the sum of all these values, we will get:
£3.00 + £10.00 + £30.00 + £100.00 + £7.00 = £150.00
Then the total amount that you have is: £150.00
If you want to learn more, you can read:
https://brainly.com/question/19245500
The length of chen’s office is 15.5 feet and the width is 7.8 feet find of the office
Answers
Answer:
The area of Chen's office (if that's what you're looking for) is 120.9 feet
Step-by-step explanation:
All I did was a = lw, the formula for finding the area of something using length and width
a = lw
a = 15.5 × 7.8
a = 120.9
Hope this helped.
5+5 you get 39 points
Answers
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Use a calculator to find this or simply use your figers and count 5 more starting from 5.
Evaluate the expression |- 178|
Answers
Answer:
178
Step-by-step explanation:
Braden had 216 quarters. If it costs 8
quarters to buy a soda from the vending
machine, how many sodas can he buy?
Answers
1) What is the absolute value of 50?
Answers
Answer:
50
I hope this helps!
A grocery store sells jelly beans in the bulk section for $2.75 a pound. If Wanda buys 1.8 pounds, how much will it cost?
Answers
Answer:
$4.95
Step-by-step explanation:
If jelly beans cost $2.75 per pound then multiplying the cost per pound by the amount of jelly beans purchased will give the answer of $4.95 per 1.8 pounds of jelly beans.
What is 300 million divided by 1 thousand?
Answers
Answer:
the answer is three hundred thousand
The equivalent ratios show how many teaspoons there are in 5 cups.
1.200 tsp ?tsp
50
10
What method can be used to convert 1 cup to teaspoons?
O multiply 1.200 by 5
O divide 1.200 by 5
multiply 5 by 1
divide 5 by 1,200
Answers
Answer:
divide 1,200 by 5 and the answer is 240
Step-by-step explanation:
did the test got an 100
Answer:
give Dom071 brainliest
Step-by-step explanation:
the answer is b and he got it right, also don't mix up the multiply and divide like I did ;-;
I need help and can u explain how to do it please and thank u
Answers
Answer:
[See Below]
Step-by-step explanation:
✦ [tex]Formula:[/tex] π[tex]r^{2}[/tex]
π[tex]6^{2}=113.0973355[/tex]✦ Round:
[tex]113.0973355=113.1[/tex]So your answer would be [tex]C[/tex], [tex]113.1 ~cm^{2}[/tex].
~Hope this helps Mate. If you need anything feel free to message me.
Answer:
yes ion think u need my help
Step-by-step explanation:
Find the equation of the line that has the given properties. Express the equation in slope-intercept form.
Slope = -9; y-intercept = 5
What is the equation of the line?
Answers
Answer:
y = -9x +5Step-by-step explanation:
Slope = -9
y-intercept = 5
In [tex]y = mx +b[/tex] ;
m = slope
b = y-intercept
So just replace -9 for m and 5 for b in slope intercept form;
[tex]y = -9x +5[/tex]
What am I doing wrong in step 5?
Answers
Step-by-step explanation:
t = 9x, and dx = 1/9 dt.
∫ sin(9x) dx
= ∫ sin(t) (1/9 dt)
= 1/9 ∫ sin(t) dt
= -1/9 cos(t)
= -1/9 cos(9x)
Jenkins wants to draw a scale drawing of a tree in his yard . The scale of his model is 6in to 12ft . If his drawing is 3 in tall, how tall is the rela tree
Answers
Says the scale of his model is 6in to 12 feet meaning every 6 inches he draws is equal to 12 feet of tree so it’s just cutting it in half.
This should be the correct answer if not then more detail needs to be given in question and I will re submit another answer. Thank you
Find |-22| =
Pls show your work
Answers
Answer:
I think it's 22
Step-by-step explanation:
because it's inverse operations all you do is remove the negative and the barackets
Leah is 2 less than 3 times Rachel's Age. 3 years from now, Leah will be 7 more than twice Rachel's Age. How old will Rachel be in 3 years from now?
Answers
Answer:
I THINK rachel will be 12
Step-by-step explanation:
how to solve |-6y|-9>-1
Answers
Answer:
y < -4/3 or y > 4/3
Step-by-step explanation:
|-6y| -9 > -1Since this is an absolute value inequality, we need two equations to set up to solve for y1st equation:-6y - 9 > -12nd equation:6y - 9 > -1Solve both equations:-6y-9>-1-6y > 8y < -4/36y -9 > -16y > 8y > 4/3What is 180 times 280
Answers
Answer: 50,400
Step-by-step explanation: 180 times 280 is like multiplying 180 by 280 times.
We can write 180 times 280 like this; 180 x 280.
180 x 280 = 50,400
Answer:
50,400
Step-by-step explanation:
180×280=50,400
Could I get some help on these please? Will give points.
Answers
Answer:
X=-4, Y=22, idk about the CBD
Step-by-step explanation:
4y+2=90 degrees
subtract 2 on both sides you would get
4y=88 divide 4 with 88 and get 22
solve both X's so 5x+6=3x-2
i would subtract 3x first so i can get
2x+6=-2
then subtract 6 on both sides so you would have
2x=-8 divide -8 with 2 and get -4
Name the property illustrated by each equation.
(6.8)x5 = 6x(8.5)
Answers
Answer:
Commutative Property Of Multiplication
A virus strain is 0.00000015 meters in length. What is the length in scientific notation?
Answers
Answer:
1.5*10^-5
Step-by-step explanation:
Hey there! I'm happy to help!
Scientific notation is writing a number 1-10 multiplied by ten to a certain power. We see that we can write the number 1.5 to fit this.
We want to multiply by ten to a negative power as the decimal has been moved to the left. Let's count how many times we need to move the decimal over to get to 1.5.
If we count this, we have to move 7 places to get the decimal in the right spot. Therefore, to write this in scientific notation, we would write 1.5×10^-7.
Have a wonderful day! :D
a triangle has side lengths of (9.7m-6.8m) centimeters, (6.6m+6.5p) centimeters, and (2.2p-6.4n)centimeters. which expression represents the perimeter, in centimeters, of a triangle?
Answers
Answer:
To find the perimeter of a triangle, you would need first all three side lengths.
9.7m-6.8m = 2.9, 6.6m+6.5p=7.1, 2.2p-6.4= -4.2. once I added all the sides it was 5.8.
Find the slope of the line passing through the points (8, 3) and (9, 7)
Answers
Answer:
4
Step-by-step explanation:
Since we have 2 points, we can find the slope using
m = ( y2-y1)/(x2-x1)
= ( 7-3)/(9-8)
= 4/1
= 4
(8, 3) and (9, 7)
To Find:The slope of the line passing through the points (8, 3) and (9, 7).
Slope Formula:y2 - y1 / x2 - x1
Solution:7 - 3 / 9 - 8
= 4 / 1
= 4
Answer:4
IS 7 LESS THAN OR GREATER THAN -3
Answers
Answer:
7 is greater than -3
Step-by-step explanation:
7 is positive meaning is more than any negative number
Answer:
7 is greater
Step-by-step explanation:
Graph it on a number line. 7 is on the positive side and -3 is the negative side, and positive numbers always are bigger than negative numbers.
coeffecient of x in -7xyz2
Answers
☽------------❀-------------☾
Hi there!
~
The coefficient of x in -7xyz2 is -7.
❀Hope this helped you!❀
☽------------❀-------------☾
[tex] \sqrt{2k ^{2} + 17 } - x = 0[/tex]
If k>0 and x=7 in the equation, what is the value of k?
Answers
Answer:
[tex]k=4[/tex]
Step-by-step explanation:
So we have the equation:
[tex]\sqrt{2k^2+17}-x=0[/tex]
Where:
[tex]k>0\text{ and } x=7[/tex]
And we want to find k.
Firstly, let's substitute 7 for x. So:
[tex]\sqrt{2k^2+17}-7=0[/tex]
Now, we can solve for k. Add 7 to both sides:
[tex]\sqrt{2k^2+17}=7[/tex]
Square both sides:
[tex]2k^2+17=49[/tex]
Subtract 17 from both sides:
[tex]2k^2=32[/tex]
Divide both sides by 2:
[tex]k^2=16[/tex]
Take the square root of both sides:
[tex]k=\pm\sqrt{16}[/tex]
Evaluate:
[tex]k=\pm 4[/tex]
Remember that we are told k>0. In other words, k must be positive. So, we can ignore the negative answer, giving us:
[tex]k=4[/tex]
So, the value of k is 4.
And we're done!
Someone plzzzzz help meee
Answers
Answer:
3 by 2 triangle
Step-by-step explanation:
9 x 1/3 = 3
6 x 1/3 = 2
then you connect the last line ;-;
Help me ASAP plssssssssss
Answers
Answer:
Community Parks
Step-by-step explanation:
Answer:
D
Step-by-step explanation: Because they are trying to reserve the parks and the animal life and plant life in it. Hope this helps :)
SD and SG are tangent to ⊙ K. Identify SG. HELP!!
Answers
Answer:
63
Step-by-step explanation:
Tangents drawn from external point to a circle are congruent.
Therefore,
SG = SD
8x - 9 = 5x + 18
8x - 5x = 9 + 18
3x = 27
[tex]x = \frac{27}{3} \\ x = 9 \\ SG = 8x - 9 \\ SG =8 \times 9 - 9\\ SG =72 - 9 \\ \huge \red{ \boxed{SG =63}}[/tex]
Answer: 63
Tangents drawn from external point to a circle are congruent.
SG = SD
8x - 9 = 5x + 18
8x - 5x = 9 + 18
3x = 27
Step-by-step explanation: 63
What’s is ittttt I neeed helppp
Answers
Answer:
n = 14
Step-by-step explanation:
n+4/-2 = -9
n+4 = 18
n = 14
Answer:
n=14
Step-by-step explanation:
n+4/-2 = -9
n+4 = 18
Hope it helps :3