Which pair shows equivalent expressions? Hurry it’s timed
1 answer:
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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:
a)
b) 54
Step-by-step explanation:
a)
If one quantity, A, is jointly proportional to other 2 quantities (B & C), we can write proportionality equation as:
Where
k is the proportionality constant
Now, for this problem, P is jointly proportional to A and CUBE OF V, so we can write:
b)
Now velocity, V, is triples, which means it becomes 3V
Also, cross sectional area, A, is doubled, which means it becomes 2A
Let's put these into formula and see the difference:
So, power is multiplied by a factor of 54. Power becomes 54 times if Area is doubled and velocity is tripled ( as seen ).