The explanation is in a file the other Pearson put
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
X^4 + 2x^2 - 24
= (x^2 + 6)(x^2 - 4)
= (x^2 + 6)(x - 2)(x + 2)
x^4 - 9x^2 + 18
= (x^2 - 6)(x^2 - 3)
Answer:
You don't have enough money for 2 downloads
Step-by-step explanation:
The cost of downloading one movie is ...
g(1) = 2·1 = 2 . . . dollars
The cost of downloading one song is ...
f(1) = (1/2)(1) +2 = 2.50 . . . dollars
Downloading 2 songs, 2 movies, or one of each will cost more than $2.50.
You don't have enough money for 2 downloads.
The first one is -30 seconds
the second one is 20 meters
the third one is 0
