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Nonamiya [84]
2 years ago
8

What is Q(1.5) if ()=cos() and Q(x) is centered at /2? Round your answer to 4 decimals, for example, 0.1234.

Mathematics
1 answer:
olga2289 [7]2 years ago
8 0

Answer:

Step-by-step explanation:

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Answer: 45.

Step-by-step explanation:

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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

where \Delta x_i=\frac{8-0}4=2; so the area is approximately

\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

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3 years ago
108 / (1/2) - 1 7/32? what is the answer to the following math problem?
Svet_ta [14]
214.78125. 108 / 1/2= 54 - 1 732= 214.78125
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<span>The absolute value inequality of a length of 36.80 mm with a tolerance of 0.05 mm</span> is given by |x - 36.80| < 0.05
and
The compound inequality of a length of 36.80 mm with a tolerance of 0.05 mm is obtained as follows:
|x - 36.80| < 0.05
-0.05 < x - 36.80 < 0.05
-0.05 + 36.80 < x < 0.05 + 36.80
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Which fractions are equivalent to 0.25? Select all that apply.
aleksandrvk [35]

Answer:

1/4, 2/8, 4/16, 8/32, 16/64

Step-by-step explanation:

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3 years ago
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