The triangle was translated 3 units to the right horizontally. (x+3, y)
You can just move one of the points to see how it moved.
Answer:
a
Since the integral has an infinite discontinuity, it is a Type 2 improper integral
b
Since the integral has an infinite interval of integration, it is a Type 1 improper integral
c
Since the integral has an infinite interval of integration, it is a Type 1 improper integral
d
Since the integral has an infinite discontinuity, it is a Type 2 improper integral
Step-by-step explanation:
Considering a

Looking at this we that at x = 3 this integral will be infinitely discontinuous
Considering b

Looking at this integral we see that the interval is between
which means that the integral has an infinite interval of integration , hence it is a Type 1 improper integral
Considering c

Looking at this integral we see that the interval is between
which means that the integral has an infinite interval of integration , hence it is a Type 1 improper integral
Considering d

Looking at the integral we see that at x = 0 cot (0) will be infinity hence the integral has an infinite discontinuity , so it is a Type 2 improper integral
Answer:

Step-by-step explanation:
The given function is

To find the inverse of this function, we interchange x and y.

we now solve for y.

Take the sine inverse of both sides to obtain;

Hence the inverse of the given function is;

where 
The markdown will be $21.60. so the final price after the markdown is $68.40.
Then the number must be between 18² = 324 and 19² = 361. But is that what you want to know?