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
JulijaS [17]
4 years ago
11

Find the volume of the wedge cut from the first octant by the cylinder z=12-3y^2 and the plane x+y=2.

Mathematics
1 answer:
LuckyWell [14K]4 years ago
8 0

Answer:

The wedge cut from the first octant ⟹ z ≥ 0 and y ≥ 0 ⟹ 12−3y^2 ≥ 0 ⟹ 0 ≤ y ≤ 2  

0 ≤ y ≤ 2 and x = 2-y ⟹ 0 ≤ x ≤ 2  

V = ∫∫∫ dzdydx  

dz has changed from zero to 12−3y^2  

dy has changed from zero to 2-x  

dx has changed from zero to 2  

V = ∫∫∫ dzdydx = ∫∫ (12−3y^2) dydx = ∫ 12(2-x)-(2-x)^3 dx =  

24(2)-6(2)^2+(2-2)^4/4 -(2-0)^4/4 = 20

Step-by-step explanation:

You might be interested in
Simplify completely the quantity 8 times x to the third power plus 6 times x to the 2nd power minus 4 times x all over negative
Kamila [148]
<span>Your answer is -4x^2 - 3x + 2 </span>
8 0
3 years ago
Read 2 more answers
A certain hereditary disease can be passed from a mother to her children. Given that the mother has the disease, her children in
uranmaximum [27]

Answer:

(a) P=0.694

(b) It is independent, beacuse the probability of having the disease for the children depends only on her mother condition (if she has the disease or not), not the condition of his brothers and sisters.

(c) P=0.25

Step-by-step explanation:

(a) If the mother has 0.33 probabilities of having the disease, the probability of the children having the disease is equal to the product of the probability of the mother having the disease (0.33) and the probability of inherit it (0.50).

So the probability of one child of having the disease is 0.33*0.5=0.167. The probability of not having the disease is then (1-0.167)=0.833

The probability of both children to not have the disease is 0.833^2=0.694.

(b) It is independent, beacuse the probability of having the disease for the children depends only on her mother condition (if she has the disease or not), not the ones of his brothers and sisters.

(c) If the mother has the disease, the child have a probability of 0.5 of having the disease.

The probability, given that the mother has the disease, of both child not having the disease is 0.5^2=0.25.

4 0
4 years ago
This is another question i need help with.
alina1380 [7]

Answer:

C, this diagram will show 2 1/3- 2/3 which is 7/3-2/3 which is 5/3 which is 1 2/3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Angle of elevation and angle of depression are equal to each because they are considered _____ angles (two words).
Olenka [21]
Alternative angles.
4 0
3 years ago
40% of x is 35. Write an equation that shows the relationship of 40%, x, and 35.
Fynjy0 [20]

Answer:

Idk

Step-by-step explanation:

Idk

4 0
3 years ago
Other questions:
  • What is the solution set?
    14·1 answer
  • If you have a 3 sided triangle, with the legs labeled P, Q, and R, find the length of the side PQ. Include all workings!
    13·1 answer
  • Which sequence shows the numbers in order from least to greatest?<br> A. <br> B. <br> C. <br> D.
    9·2 answers
  • F(x)=x^2+10-3 written in vertex form is f(x) = (x+5)^2 -28
    5·1 answer
  • Pls helpp!! i need the answers NOW is this correct??
    15·1 answer
  • How do you show work for -6.4 divided by 8
    9·1 answer
  • Find the distance between two points ( -1,1) and (2,-4)
    6·1 answer
  • Please help i don't understand. will mark brainliest
    15·2 answers
  • I WILL GIVE BRAINLIST IF SOMEONE ANSWAR CORRECTLY WITH EXPLINATION
    5·2 answers
  • An angle whose measure is degree134° is bisected. What is the measure of each of the two new angles?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!