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alisha [4.7K]
2 years ago
15

4 less than four times a number is equal to three times the same number plus 1

Mathematics
1 answer:
hichkok12 [17]2 years ago
4 0

Answer:

True

Step-by-step explanation:

5 x 4 - 4 = 16

5 x 3 + 1 = 16

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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
9 months ago
area of rectangle tabletop is 4 square feet. cassie will cover the tabletop with squares tile that an area of 1 square inch. how
marshall27 [118]
I would be guessing that since the square is 4ft squared I would imagine that it would have 2ft per side. That would mean 24inches per side. 24×4= 96inches.
96 tiles is what she needs. I am a little confused myself, hope this helps
8 0
3 years ago
Read 2 more answers
Identify the coefficient in each term
Archy [21]

Answer:

5. 4

6. 1

7. 2

8. -1

Step-by-step explanation:

Coefficient is usually the whole number in the beginning. I believe 5-7 are correct. I'm a little iffy about 8. Good luck!

8 0
3 years ago
1-37. Examine the function defined at right. Notice that g(2) = 5. That is, when the input x is 2, the output g(2) is 5. When th
lions [1.4K]

Answer:

???

Step-by-step explanation:

3 0
3 years ago
Can somebody Help me please?!
antoniya [11.8K]
The first one because if you add all the positives you get 4 and then if you add all the negatives you get 7 so then you do 4+(-7)= -3
6 0
3 years ago
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