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anastassius [24]
3 years ago
7

I need help please! Ap calculus

Mathematics
1 answer:
Vika [28.1K]3 years ago
4 0

9514 1404 393

Answer:

  (c)  1.649

Step-by-step explanation:

For a lot of these summation problems it is worthwhile to learn to use a calculator or spreadsheet to do the arithmetic. Here, the ends of the intervals are 1 unit apart, so we only need to evaluate the function for integer values of x.

Almost any of these numerical integration methods involve some sort of weighted sum. For <em>trapezoidal</em> integration, the weights of all of the middle function values are 1. The weights of the first and last function values are 1/2. The weighted sum is multiplied by the interval width, which is 1 for this problem.

The area by trapezoidal integration is about 1.649 square units.

__

In the attached, we have shown the calculation both by computing the area of each trapezoid (f1 does that), and by creating the weighted sum of function values.

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4st^2-s^2 were s=5 and t=7
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       ➣ Assignment: \bold{Solve \ Equation: \ \left(4\left(5\cdot \:7^2\right)\right)-5^2}

↔↔↔↔↔↔↔↔

       ➣ Answer: \boxed{\bold{955}}

↔↔↔↔↔↔↔↔

Explanation: ↓↓↓↓↓

↔↔↔↔↔↔↔↔

       ➤ [ Step One ] Follow PEMDAS Order Of Operations

\bold{4\left(5\cdot \:7^2\right): \ 980}

       ➤ [ Step Two ] Rewrite Equation

\bold{4\left(5\cdot \:7^2\right)}

       ➤ [ Step Three ] Calculate Within Parenthesis

\bold{4\left(5\cdot \:7^2\right): \ 245}

       ➤ [ Step Four ] Rewrite Equation

\bold{4\cdot \:245}

       ➤ [ Step Five ] Multiply

\bold{4\cdot \:245: \ 980}

       ➤ [ Step Six ] Rewrite Equation

\bold{980-5^2}

       ➤ [ Step Seven ] Calculate Exponents

\bold{5^2: \ 25}

       ➤  [ Step Eight ] Rewrite Equation

\bold{980-25}

       ➤  [ Step Nine ] Solve

\bold{955}

↔↔↔↔↔↔↔↔

\bold{\rightarrow Mordancy \leftarrow}

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