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
Answer:
because of his big work that hes doing and because he earns it
Step-by-step explanation:
The total cost of the meal is $37.80
Given:
Food bill = $30
tip = 20%
sales tax = 6%
Tip and sales tax must be based on the food bill.
Tip = $30 x 20% = $6
Sales Tax = $30 x 6% = $1.80
Food bill : 30.00
Tip 6.00
Sales tax <u> 1.80</u>
Total cost 37.80
Step-by-step explanation:
If we assume A = the amount of candles she produces and sells then we can assume this equation.
(4.00×A) - ((A×1.50)+200)
The first part is calculating how much Claire makes at first with her candles being sold while taking account of the amoubt of candles and the cost for making one.
The second part is for the Amount of candles and the cost of starting and the cost of each candle and that amount is the amount Claire will lose and subtracted by the first amount.