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:
I think its B.
Step-by-step explanation:
Answer:

Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
so

solve for x


Answer:

Step-by-step explanation:
<u>Step 1: Solve for y in the first equation</u>




<u>Step 2: Determine the important aspects</u>
We know that our line is parallel to the other line that has a slope of 1/3 which means that our slope is also going to be 1/3. We also know that our line crosses the point (18, 2) which means that we can use the point slope form to determine our equation
Point Slope Form → 
<u>Step 3: Plug in the information and solve</u>




Answer: 