Answer:
A
Step-by-step explanation:
There are two ways you could do this question. You could graph it with something like Desmos or you could put a couple of x values in for f(x). I'll do the latter first. When you understand it, try putting it into Desmos.
f(x) = (3/4)^x
f(0) = (3/4)^0
f(0) = 1
=======
f(x) = (3/4)^x
f(1) = 3/4
=========
g(x) = (3/4)^x - 6
g(0) = (3/4)^0 - 6
g(0) = 1 - 6
g(0) = - 5
========
g(x) = (3/4)^x - 6
g(1) = (3/4)^1 - 6
g(1)= 3/4 - 6
g(1) = -5 1/4
Conclusion
It looks like the graph has shifted down 6.
Answer
A
Answer:
Answer:
x=1 or x=−1
Step-by-step explanation:
I think just 2
Check if the equation is exact, which happens for ODEs of the form

if
.
We have


so the ODE is not quite exact, but we can find an integrating factor
so that

<em>is</em> exact, which would require


Notice that

is independent of <em>x</em>, and dividing this by
gives an expression independent of <em>y</em>. If we assume
is a function of <em>x</em> alone, then
, and the partial differential equation above gives

which is separable and we can solve for
easily.




So, multiply the original ODE by <em>x</em> on both sides:

Now


so the modified ODE is exact.
Now we look for a solution of the form
, with differential

The solution <em>F</em> satisfies


Integrating both sides of the first equation with respect to <em>x</em> gives

Differentiating both sides with respect to <em>y</em> gives


So the solution to the ODE is


It's either 8 cm or 1 m....i personally think 8 cm is more accurate but, 1 m is still an acceptable answer