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
d1i1m1o1n [39]
3 years ago
10

Decide, without calculation, if each of the integrals below are positive, negative, or zero. Let D be the region inside the unit

circle centered at the origin. Let T, B, R, and L denote the regions enclosed by the top half, the bottom half, the right half, and the left half of unit circle, respectively.1. ∬B xe^xdA2. ∬R xe^xdA3. ∬T xe^xdA4. ∬D xe^xdA5. ∬L xe^xdA? Positive Negative Zero
Mathematics
1 answer:
Schach [20]3 years ago
4 0

The integrals over B and T will be positive. Keeping y fixed, xe^x is strictly increasing over D as x increases, so the integrals over x (i.e. the bottom/top left quadrants of D) is negative but the integrals over x>0 are *more* positive.

The integrals over R and L are zero. If we take f(x,y)=xe^x, then f(x,-y)=f(x,y), which is to say f is symmetric across the x-axis. For the same reason, the integral over all of D is also zero.

You might be interested in
find an equation in slope intercept form of a line that passes through the point 2.2 and has a slope m is equal 0 also sketch th
Goshia [24]
Y = mx+b (slope intercept form). I imagine the point is (2,2) and m = 0. So the answer is y = 2. A sketch would be a horizontal line on the x-y plane going through (2,2).
6 0
3 years ago
I need help one this one
8_murik_8 [283]
56 in squared I believe!
3 0
3 years ago
Why are there graphs.
Tasya [4]

Answer:

Graphs are a common method to visually illustrate relationships in the data. The purpose of a graph is to present data that are too numerous or complicated to be described adequately in the text and in less space. ... If the data shows pronounced trends or reveals relations between variables, a graph should be used.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the value of x. Then classify the triangle.
natka813 [3]
1. x = 60°
Equivalent Triangle

2. x = 30°
Isosceles Triangle
3 0
3 years ago
Rate of change is the same as what?
Harlamova29_29 [7]
Is represented as the slope of the line :)
7 0
3 years ago
Other questions:
  • Solve for g.<br> 6(2g-1)=13g
    8·2 answers
  • 1/x + 1/4 = 7/12 solve for x
    13·1 answer
  • What is the product of 3/8 × 8/9
    5·1 answer
  • At the beginning of 2002, an ice cream shop claimed to have "nearly 969 different ice cream flavors." Assuming that you could ch
    11·2 answers
  • What is the footage to yards
    10·1 answer
  • the graph shows the proportion of red and blue food coloring ,that taylor mixes to make purple ,what is the slope of the line ?t
    14·1 answer
  • Find the volume of the cone. <br> Formula:<br> Substitute:
    5·2 answers
  • Miles is putting a fence around his garden. The total area of the garden is 4,864 square feet. The length of the garden is 152 f
    8·1 answer
  • Brainliest is on the line here
    9·1 answer
  • a diver starts out at 288 feet below the surface.she the swims upward 152 feet.use a signed number to represent the divers curre
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!