Answer: (a) e ^ -3x (b)e^-3x
Step-by-step explanation:
I suggest the equation is:
d/dx[integral (e^-3t) dt
First we integrate e^-3tdt
Integral(e ^ -3t dt) as shown in attachment and then we differentiate the result as shown in the attachment.
(b) to differentiate the integral let x = t, and substitute into the expression.
Therefore dx = dt
Hence, d/dx[integral (e ^-3x dx)] = e^-3x
No it is actually a horizontal shift of 2 units to the right.
Combine the common factors.
11x + 5 = 180
Subtract 5 from both sides.
11x = 175
Divide 11 from both sides to isolate the x.
x = 15.90909091
Answer: 
Step-by-step explanation:
Given the following equation:
You can follow these steps in order to solve for "x" and find its value:
1. Apply Distributive property on the right side of the equation:
2. Subract 
from both sides and add the like terms:
3. Subtract 1.8 from both sides:
4. Finally, divide both side of the equation by -1.5:
