<h3>
Answer: False</h3>
The prisms might have different base areas, which would contribute to overall having different surface areas even if the altitude (aka height) of each prism was the same.
Answer:
There are two lines of symetry.
We will use seperation of variables
tmes both sies by 1/(y^2)
times both sides by dx
we get
1/(y^2)dy=1/(x^3)dx
integrate both sides
-1/y=1/(2x^2)+c
initial condition, (1,1)
-1/1=1/(2(1^2))+c
-1=1/2+c
-3/2=c
-1/y=1/(2x^2)-3/2
solve for y
-1=y(1/(2x^2)-3/2)
y=-1/(1/2x^2-3/2)
Slope-intercept form is y = mx + b, and m is the slope
Because the slope is -3, m = -3
y = -3x + b
Plug in the point and solve for b
-7 = -3(-3) + b
-7 = 9 + b
-16 = b
a. y = -3x -16