We have the same workbook lol
The answer is
Drums: 2/4
milks 4/9
(unless your teacher wants it improper.)
Try substituting some values in, and you will get your answer.
I'll do the first two.
y = (0) + 4 [=4]
y = (2) + 4 [=6]
In the table, the first two values for y are 6 and 8.
The first two values for y = x + 4 are 4 and 6.
Therefore, we can assume that the rate of change in the function y = x + 4 is less than the rate of change of the function represented in the table.
Y = xe^x
dy/dx(e^x x)=>use the product rule, d/dx(u v) = v*(du)/(dx)+u*(dv)/(dx), where u = e^x and v = x:
= e^x (d/dx(x))+x (d/dx(e^x))
y' = e^x x+ e^x
y'(0) = 1 => slope of the tangent
slope of the normal = -1
y - 0 = -1(x - 0)
y = -x => normal at origin
Dy/dx = -y inx iny
(y in x in y) dx + dy = 0
(y in x in y ) dx = - dy
(in x )dx = - (1/ y in y) dy
you just need to integrate both sides
Hope this helps
