Answer:
The corresponding definite integral may be written as

The answer of the above definite integral is

Step-by-step explanation:
The given limit interval is

![[a, b] = [-8, 6]](https://tex.z-dn.net/?f=%5Ba%2C%20b%5D%20%3D%20%20%5B-8%2C%206%5D)
The corresponding definite integral may be written as


Bonus:
The definite integral may be solved as

Therefore, the answer to the integral is

Answer: 48.8
Step-by-step explanation: The equation for the area of a circle is π*r², since the base of a cylinder is a circle we take the equation of a circle and multiply the height of the cynlinder by using the equation π*r²*h to get the volume of a cylinder. In this case our factors are
π= 3.14
r²= 6.76
h=2.3
3.14*6.76*2.3=48.82072
rounded to the nearest tenth=48.8
Step-by-step explanation:
Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1
4x+ y= 3
y= -4x + 3
slope = -4
the new slope = 1/4
the equation formula y= mx+b
m = new slope
y = (x/4) + b
From the point given (4,-3)
y = -3. x = 4
-3 = 1 + b
b = -4
the equation =
