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
Answer: 3.3 times 10^5 is bigger
Step-by-step explanation: 10^5= 10*10*10*10*10=100,000.
so 100,000 multiplied by 3.3 = 330,000
or 3.1 multiplied by 100,000 = 310,000 so it's obvious that 330,000 is bigger.
Answer:
<em>y = 3x + 1</em>
Step-by-step explanation:
y = mx + b
The slope, or <em>m</em>, is 3.
The y-intercept, or <em>y</em>, is 1.
Plug them into the equation.
y = mx + b
<em>y = 3x + 1</em>
...................it is 1 pound .......................
we know that
The scale factor is equal to
we have
substitute
therefore
<u>the answer is</u>
