Step-by-step explanation:
0 = 4 - 7 x^2 + x
0= (-7)x^2 + (1)x + 4
a= -7
b = 1
c= 4
Answer:
Step-by-step explanation:
Move all terms that don't contain
x
to the right side and solve.
x
=
20
−
2
y
Answer:
∫₁⁵ 2t (t² + t³) dt
Step-by-step explanation:
The area is ∫ₓ₁ˣ² y dx. To parameterize, replace x₁ and x₂ with t₁ and t₂. Replace y = f(x) with y = f(t), and replace dx with (dx/dt) dt.
x = 5 + t², so dx = 2t dt.
∫₁⁵ (t² + t³) (2t dt)
∫₁⁵ 2t (t² + t³) dt
Poopoo!!!?!!!!!!!?!!!??!!!
Answer:
Let's complete the square first.
y = x² + 6x + 3
= (x² + 6x + 9) - 6
= (x + 3)² - 6
Therefore, the vertex is (-3, -6) and since the coefficient of (x + 3)² is positive, the vertex is a minimum.
