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3 years ago

Solve for y y−(−10)=−41

Mathematics

2 answers:

aliina [53]3 years ago

8 0

Answer:

y = -51

Step-by-step explanation:

y - (-10) = -41

Subtracting a negative number: - (-10) is the same as just adding a positive number + 10, so we'll use this to simplify the expression.

y + 10 = -41

Now, we can subtract 10 from both sides of the equation in order to isolate y.

10 - 10 = 0

-41 - 10 = -51

This means the equation is now:

y = -51

Let's check this answer:

Input -51 as y:

-51 - (-10) = -41

-41 = -41

It works!

This means y = -51 is the answer!

icang [17]3 years ago

4 0

The answer to y would be -51

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4 years ago

Enter the coefficients of the fifth Taylor polynomial T5(x) for the function f(x) = x5−3x4+2x2+5x−2 based at b=1. T5(x)= + (x−1)

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Compute the necessary values/derivatives of $f(x)$ at $x=1$ :

$f(1)=3$

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Taylor's theorem then says we can "approximate" (in quotes because the Taylor polynomial for a polynomial is another, exact polynomial) $f(x)$ at $x=1$ by

$T_5(x)=\dfrac3{0!}+\dfrac2{1!}(x-1)-\dfrac{12}{2!}(x-1)^2-\dfrac{12}{3!}(x-1)^3+\dfrac{48}{4!}(x-1)^4+\dfrac{120}{5!}(x-1)^5$

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###

Another way of doing this would be to solve for the coefficients $a,b,c,d,e,g$ in

$f(x)=a+b(x-1)+c(x-1)^2+d(x-1)^3+e(x-1)^4+g(x-1)^5$

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3 years ago

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aksik [14]

Answer:

f(-2) = 44

Step-by-step explanation:

Hello there! Lets get started solving this function!

For a function, whenever we see f(x) = ... , the function is simply asking the value of the equation at x! So, if replace f(x) with f(-2), we simply substitute x with -2 in the equation! Lets get started!

$f(x) = -7x + 5x^{2} + 10\\f(-2) = -7(-2) + 5(-2)^{2} + 10\\f(-2) = 14 + 20 + 10\\f(-2) = 44\\$

First, we can write the original function. Next, we substitute in -2 for x. Then, we find our final terms. Finally, we are given that f(-2) = 44.

Hope this helps! Remember, math is fun!

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