Answer:
<u><em>A </em></u><u><em>quadratic function </em></u><u><em>is a second degree polynomial function. The general form of a quadratic function is this: f (x) = ax2 + bx + c, where a, b, and c are real numbers, and a≠ 0.</em></u>
A. The Same Line
- A Dependent System Of Equations Is When The Same Line Is Written In Two Different Forms So That There Are Infinite Solutions.
Substitute for x in the second equation:-
2(y + 3) + y = 9
2y + 6 + y = 9
3y = 9 - 6 = 3
so y = 3/3 = 1
Now plug this value of y into first eqution:-
x = 1 + 3 = 4
So you answer is x = 4 and y = 1.
The local linear approximation of f near x = a is given by
f(x) ≈ f(a) + f'(a)(x-a)
Evaluating f at π/2
f(<span>π/2) = cos(</span><span>π/2) = 0
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Since f(x) = cos(x), differentiating gets us
f'(x) = -sin(x)
f'(π/2) = -sin(<span>π/2) = -1
So the local liner approximation is</span>
f(x) ≈ 0+ -1(x-π/2)
f(x) ≈ -x+π/2
The answer to this question is -x+π/2