(i) Yes. Simplify 
.
Now compute the limit by converting to polar coordinates.
This tells us
so we can define 
to make the function continuous at the origin.
Alternatively, we have
and
Now,
so by the squeeze theorem,
and approaches 1 as we approach the origin.
(ii) No. Expand the fraction.
and 
are undefined, so there is no way to make continuous at (0, 0).
(iii) No. Similarly,
is undefined when 
.
1- ABD
2- BC(with and arrow drawn above because it’s a ray) and BE (with and arrow drawn above because it’s a ray)
3- x=18
4- ABD=32
5- ABC=162
6- x=19
7- ABD=23
Answer:
Your answer will be 5.6. 6.0-0.4=5.6. This is one of the fact families.
Step-by-step explanation:
Now use 5.6 in the equation. 5.6+0.4=6. This answer is correct.
Answer: 18.24 cm^2
Step-by-step explanation:
the two 135 degree angles indicate that the third angle (the one with the shaded region) is 90 degrees, which means that the shaded region is within 1/4 of the circle.
1. In order to find the area for that 1/4 region, you would have to find the area of the circle and divide it by 12
[r^2(3.14)]/4 pi is substituted by 3.14, and the radius is 8.
50.24 is the area of 1/4 of the circle.
2. Next you'd have to find the area of the triangle formed by the shaded region, and subtract the triangle from the area of the 1/4 circle.
the triangle is an isoceles triangle with two sides each valuing at 8cm, so to find the area of the triangle you would multiply the two sides (or square them since they're the same number) and divide by two
this means the triangle is 32 cm^2
3. we can subtract the 1/4 circle (50.24) by the area of the triangle (32) to get the area of the shaded region, which is <u>18.24 cm^2</u>
Answer:
the answer is number 3)2
Step-by-step explanation:
subtract the both
