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earnstyle [38]
2 years ago
7

Which definite integral approximation formula is the integral from a to b of f of x, dx is approximately equal to the product of

the quantity b minus a over n and the quantity y sub 0 plus y sub 1 plus y sub 2 plus y sub 3 plus dot dot dot plus y sub n minus 1?
Mathematics
2 answers:
Alexxandr [17]2 years ago
8 0

That is a description of the formula for the rectangle rule using left endpoints.

andriy [413]2 years ago
7 0

Answer:

Step-by-step explanation:

Given that integral approximation formula is calculated as follows:

Integral from a to be of f(x) dx is calculated as dividing the region between the curve, the x axis and y=a and y=b into a number of trapeziums (n) of equal width and then calculating the area of the trapeziums and adding.

The width of triangle would be (b-a)/n

The length would vary depending on the position of x.

First rectangle has length = y_0 = f(a)

Hence left end points are used

So this is Riemann left sum approximation.

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maksim [4K]

Let's solve this question by step by step.

Layout equation.

−104=−8(k+8)

Step 1: Simplify both sides of the equation.

−104=−8(k+8)

−104=(−8)(k)+(−8)(8)(Distribute)

−104=−8k+−64

−104=−8k−64

Step 2: Flip the equation.

−8k−64=−104

Step 3: Add 64 to both sides.

−8k−64+64=−104+64

−8k=−40

Step 4: Divide both sides by -8.

-8k/-8=-40/-8

The answer for this problem is k=5.

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Step-by-step explanation:

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