Answer:
Step-by-step explanation:
That's B: the surface area.
The volume of the sphere is V = (4/3)πr³; A = 4πr² happens to be the derivative of V with respect to r.
1/7 (x - 3) = 5/7
1/7x - 3/7 = 5/7
1/7x - 3/7 + 3/7 = 5/7 + 3/7
1/7x = 8/7
1/7x(7) = 8/7(7)
X = 56/7
X = 8
Answer:
-1 - ( -2 ) = 1
Step-by-step explanation:
Answer:
∫
= 
Step-by-step explanation:
To find:
∫
Solution:
Method of substitution:
Let 
Differentiate both sides with respect to 

[use
]
So,
∫
= ∫
=
where
is a variable.
(Use ∫
)
Put 
∫
= 
Use 
So,
∫
= 
where 
Without using substitution:
∫
= ∫
= 
So, same answer is obtained in both the cases.
Answer:
Exact area: 39.2π cm²
Approximate area: 123.2 cm²
Step-by-step explanation:
The area of a circle is πr².
A full circle can be thought of as a sector of a circle with 360° of central angle. For a sector of a circle with a central angle of n°, multiply the area of the circle by the fraction n°/360°.
The formula for the area of a sector of circle with central angle n° and radius r is
A = (n°)/(360°) × πr²
Here we have n = 72; r = 14 cm
A = (n°)/(360°) × πr²
A = (72°)/(360°) × π × (14 cm)²
A = 39.2π cm² = 123.2 cm²