Answer:
A) 2C
Step-by-step explanation:
The relevant rule of logarithms is ...
log(x²) = 2·log(x)
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We know that 64 = 8². So, ...
log(64) = log(8²) = 2·log(8)
We are given that log(8) = C, so 2·log(8) = 2C
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Here, all logarithms are to the base 9. That does not change the relations shown.
Since derivatives lower the degree of polynomials, if you want the second derivative to be zero you have to choose first-degree polynomials.
So, you have
Two polynomials are linearly independent if they are not multiples of each other. So, for example, you might choose and to find two linearly independent solutions.
As for
we want a second-degree polynomial with leading coefficient 1/2 so that we will get 1 when deriving it twice:
If we impose the conditions
we have
So, our solution will be in this form:
To fix , we use the second condition:
So, we have fixed and the solutions is
Answer:
The degree of the polynomial is 3.
Tangent 45 = height / 3
height = 3 * tan (45)
height = 3 * 1
height = 3
<span>Trapezoid area = ((sum of the bases) ÷ 2) • height
</span>
<span>Trapezoid area = (9 + 15) /2 * height
</span><span>Trapezoid area = 12 * 3
</span><span>Trapezoid area = 36
</span>