Answer:
Required value is 
.
Step-by-step explanation:
We have to find the value of,
where, 
To convert it in polar form let 
and substitute in (1) we get,
Assuming,
then,
![du=-\sin\theta d\theta\implies-du=\sin\thetad\theta[tex]For [tex]\theta=0, u=1](https://tex.z-dn.net/?f=du%3D-%5Csin%5Ctheta%20d%5Ctheta%5Cimplies-du%3D%5Csin%5Cthetad%5Ctheta%5Btex%5D%3C%2Fp%3E%3Cp%3EFor%20%5Btex%5D%5Ctheta%3D0%2C%20u%3D1)
and 
gives u=-1. Hence,
![=\Big[\frac{u^3}{3}\Big]_{-1}^{1}\times\Big[\frac{r^5}{5}\Big]_{0}^{5}](https://tex.z-dn.net/?f=%3D%5CBig%5B%5Cfrac%7Bu%5E3%7D%7B3%7D%5CBig%5D_%7B-1%7D%5E%7B1%7D%5Ctimes%5CBig%5B%5Cfrac%7Br%5E5%7D%7B5%7D%5CBig%5D_%7B0%7D%5E%7B5%7D)
Answer:
a) 72 cm2 (centimeter square)
b) 9 cm2 (centimeter square)
c) 9 cm2 (centimeter square)
d) 54 cm2 (centimeter square)
Step-by-step explanation:
a) the area of the rectangle = Base x Height
= 12 x 6
= 72 cm2 (centimeter square)
b) the area of the triangle A = 1/2 x Base x Height
= 1/2 x 3 x 6
= 9 cm2 (centimeter square)
c) the area of the triangle B = 1/2 x Base x Height
= 1/2 x 3 x 6
= 9 cm2 (centimeter square)
d) area of the parallelogram = area of the rectangle - area of triangle A - Area of triangle B
= 72 - 9 - 9
= 54 cm2 (centimeter square)
Answer:
Step-by-step explanation:
3x + 4 > 10
3x > 10 - 4
3x > 6
x > 6/3
x > 2
Answer:
1. 42.95
2. 8.8 meters; -14 meters
3. -53; 780
Step-by-step explanation:
1. subtract 1985 from 2013, you get 28
plug in 28 to the equation and you get 42.95
2. plug in the values of t
-4.9 (2^2) + 1.7 (2) + 25 = 8.8
-4.9 (3^2) + 1.7 (3) + 25 = -14
3. plug in your values again
5^3 - 6 (5^2) - 8 (5) + 12 = -53
12^3 - 6 (12^2) - 8 (12) + 12 = 780
