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:
C: 
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.
<span><span> p9/p3</span> </span>Final result :<span> p6
</span>Reformatting the input :
Changes made to your input should not affect the solution:
(1): "p3" was replaced by "p^3". 1 more similar replacement(s).
Step by step solution :<span>Step 1 :</span><span> p9
Simplify ——
p3
</span>Dividing exponential expressions :
<span> 1.1 </span> <span> p9</span> divided by <span>p3 = p(9 - 3) = p6</span>
Final result :<span> p<span>6</span></span>
It would take 9 people 34.5 minutes to paint 9 walls.
23 divided by 6 equals 3.83. That is how many minutes it takes one person to paint one wall. Multiply 3.83 by 9 and you get your answer, 34.5 minutes.
Answer:
0
Step-by-step explanation:
slope = dy/dx
= 0/x
= 0