1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
densk [106]
3 years ago
11

How do you do this question?

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
3 0

Answer:

18 ln(9) − ¹⁰⁴/₉

Step-by-step explanation:

∫₁⁹ √y ln(y) dy

If u = ln(y), then du = dy/y.

If dv = √y dy, then v = ⅔ (y)^³/₂.

∫ u dv = uv − ∫ v du

= ln(y) (⅔ (y)^³/₂) − ∫ (⅔ (y)^³/₂) (dy/y)

= ln(y) (⅔ (y)^³/₂) − ∫ (⅔ (y)^½) dy

= ln(y) (⅔ (y)^³/₂) − ⁴/₉ (y)^³/₂ + C

= (⅔ (y)^³/₂) (ln(y) − ⅔) + C

Evaluate between y=1 and y=9.

[(⅔ (9)^³/₂) (ln(9) − ⅔)] − [(⅔ (1)^³/₂) (ln(1) − ⅔)]

[18 (ln(9) − ⅔)] − [(⅔) (-⅔)]

18 ln(9) − 12 + ⁴/₉

18 ln(9) − ¹⁰⁴/₉

You might be interested in
Roger factored a polynomial to determine that the zeros of the polynomial are located at
coldgirl [10]

Answer:

2 is the factor of polynomial

5 0
3 years ago
Help I don't know how to do this<br>​
Vilka [71]

Answer:

P(t) = 282.2(1.009)^t

Step-by-step explanation:

Look at the attached image.

Hope you can read my handwriting. the image cut off the right side, b = 1.009213324... but question asks to round to nearest thousandth so it's 1.009

For the second part just use the equation to find P when t = -1 and see if P is less than (underpredicts) the number from the question or greater than (overpredicts) the number. I haven't calculated it but I think it will be smaller and thus underpredicts just from looking at the numbers when t = -1

6 0
3 years ago
Mr. Hudson is a car salesman. He makes a fixed amount of $1,000 a month and receives $250 for every car that he sells. Which ine
kkurt [141]

Answer:

250n + 1,000 ≥ 6,000

Step-by-step explanation:

You know that he makes 250 dollars per car her sells and he automatically makes 1000 per month. n is representing the number of cars he sold and that is multiplied by the worth of each car. If he needs a MINIMUM of 6000 dollars. he must make 6000 dollars or more which can also be shown as ≥. Hope this helped!

5 0
3 years ago
What is 5/8 + (-5/6)
suter [353]
Adding a negative is the same as subtracting, so here we have 5/8-5/6. Let's find our least common denominator to use as our common denominator for both fractions. That would be 24. So, we multiply 5/8 by 3/3 because to get an equivalent fraction, you multiply by a version of 1- then you multiply 5/6 by 4/4. So, you get 15/24-20/24 equals -5/24. Hope this helps!
3 0
3 years ago
Factor the expression: <br><br> X^2 + 4x + 21
Aleksandr-060686 [28]
The answers are x=-7
X=3
7 0
4 years ago
Read 2 more answers
Other questions:
  • Which list correctly orders A,B and C from least to greatest when A=-8,B= |-6|, and C=|11|
    8·2 answers
  • Help with #9,10 plz!!
    13·1 answer
  • Please Help
    11·2 answers
  • For which operations is the set {0, 1} closed? Choose all answers that are correct.
    10·1 answer
  • Eric wants to send a package to his mother. If he chooses UPS, the fixed express fee is 10 dollars and each kilogram costs 2 dol
    13·1 answer
  • The graph of y=3x-5 passes through which of these points?
    10·1 answer
  • The amount of ice cream dispensed from a machine at an ice cream shop is normally
    14·1 answer
  • 3/4 x 5/6 plssssssssssss help
    5·2 answers
  • The coordinates of the vertices of a triangle
    7·2 answers
  • The path of a circus performer shot from a cannon can be described by the equation
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!