Answer:
A = 0.859
Step-by-step explanation:
We want to find the area of the region bounded by the lines x = 1 and y = 0 and the curve y = xe^(x²).
At y = 0, let's find x;
0 = xe^(x²)
Solving this leads to no solution because x is infinity. Thus we can say lower bound is x = 0.
So our upper band is x = 1
Thus,lets find the area;
A = ∫xe(x²) dx between 1 and 0
A = (e^(x²))/2 between 1 and 0
A = ((e¹)/2) - (e^(0))/2)
A = 1.359 - 0.5
A = 0.859
Answer:
Step-by-step explanation:
<u>Scale is:</u>
- 1 foot = 3/4 inch
- 1 inch = 1 : 3/4 foot = 4/3 foot
a. The length of the room
- 9 inches = 9*4/3 foot = 12 feet
b. The width of the room
- 6 3/4 inches = 27/4 inches = 27/4*4/3 = 9 feet
Answer:
Step-by-step explanation:
the area of the rectangle 168 / the triangle on the left is 12/also the triangle on the right is 12/the area of the trapezoid is 192
Answer:
5 times
Step-by-step explanation:
If we have to determine the number of times the lights will blink at the same time, we have to find Least common multiple (L.C.M) of 5, 12, and 6 seconds.
5 = 1 x 5
12 = 1 x 2 x 2 x 3
6 = 1 x 2 x 3
The L.C.M of 5, 6, and 12 is = 2 x 2 x 3 x 5 = 60
The three lights will be turned on after 60 seconds or 1 minute.
The lights will be turned on in 1 minute 1 time
The lights will be turned on in 5 minutes (1*5) times = 5 times
Answer:
Geometric Sequence
Step-by-step explanation:
As you can see, the terms are of consecutive sequences.
The 3rd term ÷ The 2nd term = 3
The 4th term ÷ The 3rd term = 3
The ratio between the consecutive terms is the same. Therefore, it's a geometric sequence.
