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yulyashka [42]
3 years ago
11

Which equation represents the graphed function

Mathematics
2 answers:
ss7ja [257]3 years ago
7 0

Answer:

I'd love to answer but need more data...

goblinko [34]3 years ago
6 0

I cannot answer that, as I do not have the graph and need more info to answer.

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A giraffe's height is 5 meters 40 centimeters. <br><br> How tall is the giraffe in millimeters?
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5400 mm

Step-by-step explanation:

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The graph represents function 1, and the equation represents function 2: A coordinate plane graph is shown. A horizontal line is
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Find the approximate area between the curve f(x) = -4x² + 32x and on the x-axis on the interval [0,8] using 4 rectangles. Use th
Doss [256]

Split up the interval [0, 8] into 4 equally spaced subintervals:

[0, 2], [2, 4], [4, 6], [6, 8]

Take the right endpoints, which form the arithmetic sequence

r_i=2+\dfrac{8-0}4(i-1)=2i

where 1 ≤ <em>i</em> ≤ 4.

Find the values of the function at these endpoints:

f(r_i)=-4{r_i}^2+32r_i=-16i^2+64i

The area is given approximately by the Riemann sum,

\displaystyle\int_0^8f(x)\,\mathrm dx\approx\sum_{i=1}^4f(r_i)\Delta x_i

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\displaystyle2\sum_{i=1}^4(-16i^2+64i)=-32\sum_{i=1}^4i^2+128\sum_{i=1}^4i=-32\cdot\frac{4\cdot5\cdot9}6+128\cdot\frac{4\cdot5}2=\boxed{320}

where we use the formulas,

\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2

\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6

6 0
3 years ago
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