A rectangular pyramid is sliced so the cross section is perpendicular to its base and passes through its vertex. What is the sha
2 answers:
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Integration by parts will help here. Letting 
and 
, you end up with 
and 
. Now
For the remaining integral, setting
gives 
, so
Putting everything together, you end up with
For the remaining integral, setting
Putting everything together, you end up with
Answer:
(- 1, 2)
Step-by-step explanation:
Given a quadratic in standard form y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= -
f(x) = x² + 2x + 3 ← is in standard form
with a = 1 and b = 2, hence
= -
= - 1
Substitute x = - 1 into f(x) for corresponding value of y
f(- 1) = (- 1)² + 2(- 1) + 3 = 1 - 2 + 3 = 2
vertex = (- 1, 2 )