Answer:
Step-by-step explanation:
i do not know
G(x)=− 4 x 2 +7g, left parenthesis, x, right parenthesis, equals, minus, start fraction, x, start superscript, 2, end superscr
steposvetlana [31]
For this case, what we should do is evaluate the function for different points within the range shown.
We then have the following table:
x g(x)
-2 -9
-1 3
0 7
1 3
2 -9
3 -29
4 -57
From where we observed that the average rate of change is:
-13
Answer:
the average rate of change of g over the interval [-2,4] is:
-13
Answer:
Step-by-step explanation:
Given that,
f(3) = 2
f'(3) = 5.
We want to estimate f(2.85)
The linear approximation of "f" at "a" is one way of writing the equation of the tangent line at "a".
At x = a, y = f(a) and the slope of the tangent line is f'(a).
So, in point slope form, the tangent line has equation
y − f(a) = f'(a)(x − a)
The linearization solves for y by adding f(a) to both sides
f(x) = f(a) + f'(a)(x − a).
Given that,
f(3) = 2,
f'(3) = 5
a = 3, we want to find f(2.85)
x = 2.85
Therefore,
f(x) = f(a) + f'(a)(x − a)
f(2.85) = 2 + 5(2.85 - 3)
f(2.85) = 2 + 5×-0.15
f(2.85) = 2 - 0.75
f(2.85) = 1.25
Answer: It is one-half the area of a rectangle with sides 2 units × 3 units.
It is twice the area of a square of side length 3 units.
It is one-half the area of a square of side length 3 units.
Step-by-step explanation:
Answer:
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Step-by-step explanation:
