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Mathematics

2 answers:

rodikova [14]1 year ago

6 0

Length=13
Height=10
Area=LxH/2 = 13x10/2= 130/2=65
Area=65

pshichka [43]1 year ago

5 0

Answer:

A = 60 units²

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the perpendicular height )

By counting the squares we find

b ( horizontal line ) = 12 units

h ( vertical line ) = 10 units

then

A = $\frac{1}{2}$ × 12 × 10 = 6 × 10 = 60 units²

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Now, if we compute the n-th derivative at 0 we get

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and so the Maclaurin series for f(x)=ln(1+2x) is given by

$f(x)=0+2x-2^2\dfrac{x^2}{2!}+2^3\cdot 2! \dfrac{x^3}{3!}+...+(-1)^{(n-1)}(n-1)!\cdot 2^n\dfrac{x^n}{n!}+...\\\\= 0 + 2x -2^2 \dfrac{x^2}{2!}+2^3\dfrac{x^3}{3!}+...+(-1)^{(n-1)}2^{n}\dfrac{x^n}{n}+...\\\\=\sum_{n=1}^{\infty}(-1)^{(n-1)}2^n\dfrac{x^n}{n}$