Answer:
Step-by-step explanation:
We are to integrate the function

over the area enclosed by the circle

Convert into polar coordinates

x=rcost and y = rsint
Since the lines are x=0 and y=x we find that t varies from 0 to pi/4

Double integral will become now

(since variables are independent here)
Substitute for r and t
4 sin pi/4 -2 cospi/4
= 
1) The set of elements is,
10n where n € {.....,-3,-2,-1,1,2,3....}
Not sure if the 2nd question is complete.
4 would be the only possible answer bc 7 x 4 = 28 and 28 - 12 = 16.
Answer:
Neither
Step-by-step explanation:
First find the slope for both lines.
m= slope
Line 1: (y2-y1)/(x2-x1)
2-5/4-6
=-3/-2
m=3/2
Line 2: (y2-y1)/(x2-x1)
8-(-1)/2-(-8)
m=9/10
These lines are neither parallel or perpendicular because they don't have the same slope (parallel lines), and they don't have opposite reciprocal slopes either (perpendicular lines).
Answer:
Future amount = $3,443 (Approx)
Step-by-step explanation:
Given:
Amount invested(P) = $2,250
Interest rate (r) = 4.6% (Compounded quarterly) = 4.6% / 4 = 0.0115
Number of year (n) = 9 years = 9×4 = 36 quarter
Find:
Future amount = ?
Computation:

Future amount = $3,443 (Approx)