Answer:The vertex in the graph is (-2,1) and It has a maximum value of 1 ,occurs at x=-2
Step-by-step explanation:
To find the vertex of a quadratic equation you gotta find the find middle point of the equation it could be lowest or his point in the quadratic equation
In this graph the vertex is the highest point in this graph (-2,1)
The quadratic equation is a maximum because the vertex is the highest point in the graph and if the vertex point was the lowest point it would been minimum.
Answer:
3/5
Step-by-step explanation:
-24m-16 = -56
-24m = -40
m= 24/40
m= 3/5
Answer:
1/6
Step-by-step explanation:
Intuitively, since the sizes of 1,2,3,4,5,6 are all the same, we can deduce that landing any of these numbers have the same probability. Thus, since there are 6 numbers the answer is 1/6
∫( (sinx) / (2 - 3cosx)) dx.
From laws of integration: ∫ f¹(u) / f(u) du = In(f(u)) + constant.
d/dx (2 - 3cosx) = 0 -3(-sinx) = 3sinx.
1/3d/dx(2 - 3cosx) = (1/3)*3sinx = sinx.
∫ ((sinx) / (2 - 3cosx)) dx. = ∫ ((1/3) d/dx (2 - 3cosx) / (2 - 3cosx))dx
= 1/3 ∫ (d/dx (2 - 3cosx) / (2 - 3cosx))dx
= (1/3)ln(2 - 3cosx) + Constant.
