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GenaCL600 [577]
3 years ago
12

Using rectangles whose height is given by the value of the function at the midpoint of the​ rectangle's base, estimate the area

under the graph using first two and then four rectangles. ​f(x)equals=x squared2 between xequals=1 and xequals=2

Mathematics
1 answer:
LuckyWell [14K]3 years ago
3 0
What it means is, check the picture below.

so, the first part shows two rectangles... the rectangle goes from 1.0 to 1.6, so it has a width of 0.6.

and the height comes from the middle point, or 1.3 is f(1.3) = (1.3)² or 1.69.

so you get the area of the first rectangle, 0.6 * 1.69

and then you do the same for the second rectangle, it goes from 1.6 to 2.0, so is of width 0.4, and its height comes from the middle 1.8 point, is f(1.8) = (1.8)²,  or 3.24.

so its area is 0.6 * 3.24

then you add the areas of the rectangles to approximate the area under the parabola.

so, you'd do the same for the other part of the picture with the four rectangles.

the first rectangle of the four for example, has a width of 0.2 and a height of f(1.1) = (1.1)² or 1.21.

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\sin\theta=\dfrac{15}{17}

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Use the trigonometry formula

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2 years ago
Find the equation of the line that passes through point A (1,7) and B (-3, -1)
amid [387]

Answer:

The equation of the line is 2 x - y + 5 = 0.

Step-by-step explanation:

Here the given points are A( 1, 7) & B( -3, - 1) -

Equation of a line whose points are given such that

( x_{1}, y_{1} ) & ( x_{2}, y_{2} )-

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i.e. <em> y - 7= \frac{- 1 - 7}{ -3-1}  ( x- 1)</em>

<em>       y - 7 =  \frac{- 8}{- 4} ( x -1)</em>

<em>       y - 7 =  2 ( x - 1) </em>

<em>       y - 7  =   2  x - 2</em>

<em>       2 x - y + 5 = 0</em>

Hence the equation of the required line whose passes trough the points ( 1, 7) & ( -3, -1)  is 2 x - y  + 5 = 0.

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3 years ago
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