Answer:
Elimination
Step-by-step explanation:
A system of equations is 2 or more equations for which the same x,y solution exists. We can solve the system in three ways: elimination, substitution, or graphing. Elimination is the best method when we have standard form equations and x values with opposite coefficients. This is so because the x variable will eliminate easily and allow us to solve for y.
Sphere=(4πr^3)/3
cone=(hπr^2)/3
cylinder=hπr^2
They are all volumes of revolution of the form ⌠πf(x)^2 dx
Given that the rate of change of y with respect to x is inversely proportional to y². Its equation can be written as :-
where 'k' is the proportionality constant, it can take any real value.
We can solve it by integrating the above equation with respect to x.
Rewriting and rearranging the terms of above equation :-
y²·dy = k·dx
Integrating both sides :-
∫ y²·dy = ∫ k·dx
= k·x
y³ = 3·k·x + C
where C is the constant of integration.
So, y³ = 3·k·x + C is the final answer.
Step-by-step explanation:
All of these terms have a common factor of 2, and when we take that out we get 2(x² + x - 6). To factor the polynomial in the parentheses, we have to find 2 numbers with a product of -6 and a sum of 1, and these are 3 and -2. Therefore, the final answer is 2(x + 3)(x - 2).
Hope this helps!
