Answer:
Step-by-step explanation:
From the given information:
The domain D of integration in polar coordinates can be represented by:
D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;
The partial derivates for z = xy can be expressed as:

Thus, the area of the surface is as follows:





![= 2 \pi \times \dfrac{1}{3} \Bigg [ (37)^{3/2} - 1 \Bigg]](https://tex.z-dn.net/?f=%3D%202%20%5Cpi%20%5Ctimes%20%5Cdfrac%7B1%7D%7B3%7D%20%20%5CBigg%20%5B%20%2837%29%5E%7B3%2F2%7D%20-%201%20%5CBigg%5D)
![= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ]](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B2%20%5Cpi%7D%7B3%7D%20%5CBigg%20%5B37%20%5Csqrt%7B37%7D%20-1%20%5CBigg%20%5D)
Ok.You have 24$. You used 20$. And you have $4 left. You bought 5 pens. So $20.00/ 5=$4.00. Each pen is four dollars.
U se the midpoint formula to find the midpoint of the line segment.
(5/2,5) or (5,5/2) it’s one of them .gotta be I’m pretty sure it’s (5/2,5)
Answer:
The explicit formula for the geometric sequence is
.
Step-by-step explanation:
By definition of geometric sequence, we should use the following expression:
,
(1)
Where:
- First term.
- Geometric rate.
- Position of the element within the series.
If we know that
and
, then the explicit formula for the geometric sequence is:

The explicit formula for the geometric sequence is
.
Answer:
X=128°
Step-by-step explanation:
Because an exterior angle of a triangle is equal to of the two opposite interior angle.
The sum of the exterior and interior angle is equal to 180°
In this case the part marked red = 90° because is a right angled triangle.
90+38=128
180- 128=52
180- 52=128
x=128.