Answer:
[-1,3]
Step-by-step explanation:
We are given with the equation
y = e^-9x with the restriction of x <span>≥ 0
If rotated about the x-axis the area of the resulting surface is
A = </span>π ∫ y² dx
Substituing
A = π ∫ (e^-9x)² dx
A = π ∫ e^-18x dx
The limits are from 0 to positive infinity.
Answer:
A = 11.7
Step-by-step explanation:
Just substitute the known values into the equation:
Answer:
y = -2x+8
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( -4-4)/(6-2)
= -8/4
= -2
The slope is -2
We can use the slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -2x +b
Using the point ( 2,4)
4 = -2(2) +b
4 = -4+b
Add 4 to each side
4+4 = -4+4+b
8 = b
y = -2x+8
