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2 years ago

What is the effect on the graph of the parent function f(x)=x when f(x) is replaced with f(x-7)

Mathematics

1 answer:

Stels [109]2 years ago

8 0

Answer:

I think it shifts horizontally by 7 units to the right. Not completely sure though.

Step-by-step explanation:

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Sue buys a certain brand of cereal that costs $12 per box. Sue changes to a super-saving brand of the same size. The equation sh

charle [14.2K]

Y = 12x......y = 12(4).....y = 48.....so she pays $ 48 for the old brand when buying 4 boxes

y = 8x...y = 8(4)......y = 32...so she pays $ 32 for the brand she changed to, when buying 4 boxes

so the super saving brand would save her (48 - 32) = $ 16 per month

7 0

3 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

What is 2 3/4 + -2 1/2

zimovet [89]

Answer:

1/4 or 0.25

Step-by-step explanation:

I did this on a graphic calculator so i can't really explain, but I hope this helps! :)

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%288%20%2B%204%20%2B%203%29%20%2B%20%286%20%2B%205%20%2B%2011%29%20%3D%20" id="TexFormula1" ti

marta [7]

Answer:

= 37

Step-by-step explanation:

(8+4+3) + (6+5+11)

= 15 + 22

= 37

3 0

3 years ago

Which values of x satisfy this equation?

grandymaker [24]

There are no values of X that equation true .

3 0

3 years ago