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steposvetlana [31]
2 years ago
14

Find the limit. use l'hospital's rule if appropriate. if there is a more elementary method, consider using it. lim x→1 x2 + 2x −

3 x − 1
Mathematics
1 answer:
IrinaK [193]2 years ago
4 0

f(x)=x^2+2x-3x-1=x^2-x-1\\\\\lim\limits_{x\to1}(x^2-x-1)=1^2-1-1=-1

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Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your ans
VikaD [51]

Answer:

The two iterations of f(x) = 1.5598

Step-by-step explanation:

If we apply  Newton's iterations method, we get a new guess of a zero of a function, f(x), xₙ₊₁, using a previous guess of, xₙ.

xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)

Given;

f(xₙ) = cos x, then  f'(xₙ) = - sin x

cos x / - sin x = -cot x

substitute in "-cot x" into the equation

xₙ₊₁ = xₙ - (- cot x)

xₙ₊₁ = xₙ + cot x

x₁ = 0.7

first iteration

x₂ = 0.7 + cot (0.7)

x₂ =  0.7 + 1.18724

x₂ = 1.88724

 

second iteration

x₃ = 1.88724 + cot (1.88724)

x₃ = 1.88724 - 0.32744

x₃ = 1.5598

To four decimal places = 1.5598

4 0
2 years ago
Equation for= Y=x shift the graph up 5 units
telo118 [61]

Answer:

y = x + 5

Step-by-step explanation:

The graph of the ramp function y = x is a straight line with slope +1 and passing through the origin.  If the whole graph is shifted up 5 units, the equation/function becomes

y = x + 5.  The resulting graph is parallel to y = x.

5 0
3 years ago
OMG I'M LITERALLY CRYING PLS HELP!!!!
zepelin [54]
The answer would be $25.22 the way to do this would be to divide 7.76 by 4 and then you would multiply that answer by 13 so it would be the 4th answer
7 0
2 years ago
Read 2 more answers
One of the tables below contains (x,y) values that were generated by a linear function. Determine which table, and then write th
alexandr402 [8]

Table #1:

Using the first two points (2,1) and (5,3)

You get (x-2)/3 = (y-1)/2

But then the 3rd point (8,7) does not work, so this is not linear.

Table #2

Using the first two points (1,10) and (2,13)

You get x-1 = (y-10) /3

But then the 3rd point (3,18) does not work so this is also not linear.

Table #3

Using the first two points (2,1) and (4,6)

You get x-2 /2 = y-1 /5

And all the other points will work with this, which makes this table linear.

Rewrite the equation to get y = 5/2x-4

5 0
3 years ago
NEED HELP The value of x is <br> .
Effectus [21]
The sum of all exterior angles of ANY polygon is equal to 360 degrees.

SO in this figure...
360 = 134 + 130 + x
360 = 264 + x
x = 360 - 264 = 96 degrees
3 0
3 years ago
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