We're minimizing
subject to
. Using Lagrange multipliers, we have the Lagrangian
with partial derivatives
Set each partial derivative equal to 0:
Subtracting the second equation from the first, we find
Similarly, we can determine that
and
by taking any two of the first three equations. So if
determines a critical point, then
So the smallest value for the sum of squares is
when
.
Answer:Q=1.39 or -0.103
Step-by-step explanation:
Area of rect. = 5 x 7 = 35
area of triangle = 1/2(2)(7) = 7
area of figure = 35 + 7 = 42
answer
42 <span>units²</span>
Answer:
False
Step-by-step explanation:
Vertical angles are a pair of opposite angles created by intersecting lines. The Vertical Angles Theorem states that if two angles are vertical, then they are congruent.