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oksano4ka [1.4K]
3 years ago
12

15 POINTS! Will give brainliest to correct answer. I would love an explanation so I can do it on my own next time.

Mathematics
1 answer:
ira [324]3 years ago
7 0

Answer:

Step-by-step explanation:

(A). A 90° counterclockwise rotation about the origin followed by a translation 1 unit to the left.

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The circumference of a sphere was measured to be 74 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the ma
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Answer Step-by-step explanation:

Circumference of sphere=74 cm

Error=0.5 cm

a.We know that circumference of sphere=C=2\pi r

Using the formula

74=2\pi r

r=\frac{74}{2\pi}=\frac{37}{\pi}

C=2\pi r

Differentiate w.r.t r

\frac{dC}{dr}=2\pi

dC=2\pi dr

dr=\frac{dC}{2\pi}=\frac{0.5}{2\pi}

Surface area of sphere=S=4\pi r^2

Maximum area in the surface area=dS=8\pi rdr

dS=8\pi\times \frac{37}{\pi}\times \frac{0.5}{2\pi}=23.5\approx 24 cm^2

Hence,the maximum area in the surface area=24 square cm

Relative error=\frac{\Delta S}{S}\approx \frac{dS}{S}

\frac{\Delta S}{S}=\frac{8\pi rdr}{4\pi r^2}=2\frac{dr}{r}=2\times \frac{\frac{0.5}{2\pi}}{\frac{37}{\pi}}=2\times \frac{0.5}{2\pi}\times \frac{\pi}{37}=0.014

Hence, the relative error=0.014

8 0
3 years ago
24 days out of 36 days
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Answer:

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12 x 1.25 = 15

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