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Ksju [112]
3 years ago
8

Which of the following equations has a slope of -3 and a y-intercept of 8? *

Mathematics
1 answer:
Scrat [10]3 years ago
5 0
There aren’t any equations attached
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Tonya and Pearl each completed a separate proof to show that the alternate interior angles AKL and FLK are congruent. Who comple
Keith_Richards [23]

Answer: Pearl

Step-by-step explanation:

In step 2, she justified her step by the definition of vertical angles. However, angles AKL and GKB do not share a common side, meaning they are not adjacent angles.

4 0
2 years ago
Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do n
aliya0001 [1]

Answer:

f(x)=\sum_{n=1}^{\infty}(-1)^{(n-1)}2^{n}\dfrac{x^n}{n}

Step-by-step explanation:

The Maclaurin series of a function f(x) is the Taylor series of the function of the series around zero which is given by

f(x)=f(0)+f^{\prime}(0)x+f^{\prime \prime}(0)\dfrac{x^2}{2!}+ ...+f^{(n)}(0)\dfrac{x^n}{n!}+...

We first compute the n-th derivative of f(x)=\ln(1+2x), note that

f^{\prime}(x)= 2 \cdot (1+2x)^{-1}\\f^{\prime \prime}(x)= 2^2\cdot (-1) \cdot (1+2x)^{-2}\\f^{\prime \prime}(x)= 2^3\cdot (-1)^2\cdot 2 \cdot (1+2x)^{-3}\\...\\\\f^{n}(x)= 2^n\cdot (-1)^{(n-1)}\cdot (n-1)! \cdot (1+2x)^{-n}\\

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

f(0)=\ln(1+2\cdot 0)=\ln(1)=0\\\\f^{\prime}(0)=2 \cdot 1 =2\\\\f^{(2)}(0)=2^{2}\cdot(-1)\\\\f^{(3)}(0)=2^{3}\cdot (-1)^2\cdot 2\\\\...\\\\f^{(n)}(0)=2^n\cdot(-1)^{(n-1)}\cdot (n-1)!

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}

3 0
3 years ago
How do I solve this equation
worty [1.4K]
\pi Times diameter 

radius is 25 cm 
diameter would be 50 cm 
the. You multiply 3.14 by 50 to get your answer which is 157cm
3 0
3 years ago
Read 2 more answers
1 hundreds +5 tens +12 ones
charle [14.2K]
<span>1 hundreds + 5 tens + 12 ones

= 100 + 50 + 12 

= 162</span>
8 0
3 years ago
Read 2 more answers
How could Brent use a rectangle to model the factors of x2 – 7x + 6?
Katen [24]

Answer:

x2-7 can be the length and 6 can be  the width of it and then that would l give you are l time w

Step-by-step explanation:

6 0
3 years ago
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