Step-by-step explanation:
f(x)=(x-5)(5x +2)=0
=> x=5 or, x=-2/5
smaller x = -2/5
larger x=5
Dy/dx = (ycos(x))/(1 + y²)
(1 + y²)/y dy = cos(x) dx
(1/y + y) dy = cos(x) dx
Integrating:
ln(y) + y²/2 = sin(x) + c
ln(1) + 1/2 = sin(0) + c
c = 1/2
Thus,
ln(y) + y²/2 = sin(x) + 1/2
Answer:
x = -1/2
Step-by-step explanation:
To solve the equation, we first need to combine like terms:
Simplify further:
Divide by -12 on both sides to get:
To check the solution, plug x back into the original equation and check if we get the correct answer:
Thus, it checks out and our answer is correct.
Subtract 2
y-2=1/2 x
Multiply by 2 to cancel out the denominator and to get 1 in front of x
2(y-2)=x
You can stop there or you can multiply out.
2y-4=x
Uhhh… this is a bad question. Because technically, none of those is the true correct answer. However, the only answer that it COULD be is B. If you were to plug in 1 into B, you’d get 0 in the denominator which creates an asymptote in the graph. None of the other three have this property
(Just a side rant, the reason none of them are technically correct is because x cannot equal -1 either… just some bonus points you could redeem with your teacher if you feel like it)
