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Alex
2 years ago
14

Whats the vertex for y=2x^2 -4x-2

Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
7 0

a = 2

h = 0

k = 0

find the vertex (h,k)

(0,0)

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respond to the following in a minimum of 175 of your own words: how would you explain the differences between the trapezoidal ru
harkovskaia [24]

The differences between the trapezoidal rule and simpson's rule is -

The trapezoidal rule and Simpson's method, the latter a set of formulas of varying complexity, are both Newton-Cotes formulas, that are used to examine and model complex curves.

<h3>What is trapezoidal rule?</h3>

The trapezoidal rule is just an integration rule that divides a curve into small trapezoids to calculate the area under it. A area under the curve is calculated by adding the areas of all the small trapezoids.

Follow the steps below to use the trapezoidal rule to determine the area under given curve, y = f. (x).

  • Step 1: Write down the total number of sub-intervals, "n," as well as the intervals "a" and "b."
  • Step 2: Use the formula to determine the width of the sub-interval, h (or) x = (b - a)/n.
  • Step 3: Use the obtained values to calculate this same approximate area of a given curve, ba f(x)dx Tn = (x/2) [f(x0) + 2 f(x1) + 2 f(x2) +....+ 2 f(n-1) + f(n)], where xi = a + ix
<h3>What is Simpson's method?</h3>

Simpson's rule is used to approximate the area beneath the graph of the function f to determine the value of the a definite integral (such that, of the form  b∫ₐ f(x) dx.

Simpson's 1/3 rule provides a more precise approximation. Here are the steps for using Simpson's rule to approximate the integral ba f(x) dx.

  • Step 1: Figure out the values of 'a' & 'b' from interval [a, b], as well as the value of 'n,' which represents the number of subintervals.
  • Step 2: Determine the width of every subinterval using the formula h = (b - a)/n.
  • Step 3: Using the interval width 'h,' divide this same interval [a, b] [x₀, x₁], [x₁, x₂], [x₂, x₃], ..., [xn-2, xn-1], [xn-1, xn] into 'n' subintervals.
  • Step 4: In Simpson's rule formula, substitute all of these values and simplify. b∫ₐ f(x) dx ≈ (h/3) [f(x0)+4 f(x1)+2 f(x2)+ ... +2 f(xn-2)+4 f(xn-1)+f(xn)].

Thus, sometimes we cannot solve an integral using any integration technique, and other times we don't have a particular function to integrate. Simpson's rule aids in approximating the significance of the definite integral in such cases.

To know more about the Simpson's method and trapezoidal rule, here

brainly.com/question/16996659

#SPJ4

3 0
10 months ago
A backyard has an area of 64 square feet. What is the smallest possible perimeter of the backyard?
Mrac [35]
The answer would be 32 ft.
4 0
2 years ago
Look at the picture and answer correctly so i can mark you as brainliest.
drek231 [11]

Answer:

{-17, 5}

Step-by-step explanation:

Y value ^^!

8 0
3 years ago
Read 2 more answers
What is -3-4b= 25-8b
sammy [17]

Answer:

b=7

Step-by-step explanation:

-3-4b= 25-8b Add 3 to both sides

-4b=28-8b Add 8b to both sides

4b=28 Divide 4 to both sides

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6 0
3 years ago
28264855 round to nearsest 100
BaLLatris [955]
<span>28 , 264 , 900 .

^ your welcomee . </span>
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