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.

Hope it will help you
Step-by-step explanation:
Answer: Jordan
Step-by-step explanation:
Answer:
Dimension
Height =29.01
Breadth=38.70
Step-by-step explanation:
Printed area is =386 and margins as specified.
For printed area let height be x and breadth be y.
x*y=386 ⇒ y = 
Now considering the margins
Height = x+6+6=x+12
Weidth =
+8 +8=
+ 16
Area of poster to be minimised =(x+12)(
+ 16)
Differentiate above area with respect to x and equate to zero to find extrema.
= 16 -
=0
x=17.01
Now plug value of x in height and breadth
Height =29.01
Breadth=38.70
9514 1404 393
Answer:
axis of symmetry: x = 2
see below for a graph
Step-by-step explanation:
You can complete the square to put the equation in vertex form.
y = (x^2 -4x +4) -1 -4
y = (x -2)^2 -5 . . . . . . vertex is (2, -5)
The equation of the axis of symmetry is the equation of the vertical line through the vertex:
x = 2 . . . . . axis of symmetry
__
Points on the graph are easily found by using integer values on either side of x=2. Points on one side of the axis of symmetry are mirrored on the other side of it.