Differential Equations Answers

Find the PDE

of all planes passing through the origin.

The shroud of Turin, which shows the negative image of

the body of a man who appears to have been crucified, is

believed by many to be the burial shroud of Jesus of

Nazareth. See Figure 3.1.9. In 1988 the Vatican granted

permission to have the shroud carbon-dated. Three inde-

pendent scientific laboratories analyzed the cloth and

concluded that the shroud was approximately 660 years

old,* an age consistent with its historical appearance Using this age, determine what percentage of the origi-

nal amount of C-14 remained in the cloth as of 1988.

Archaeologists used pieces of burned wood, or char-

coal, found at the site to date prehistoric paintings and

drawings on walls and ceilings of a cave in Lascaux,

France. See Figure 3.1.8. Use the information on page 84

to determine the approximate age of a piece of burned

wood, if it was found that 85.5% of the C-14 found in

living trees of the same type had decayed.

Sebuah beban 128 lb digantungkan pada sebuah pegas yang menyebabkan pegas

tersebut merenggang 2 ft dan kemudian dibiarkan hingga diam. Beban tersebut

kemudian digerakkan dari kondisi diam dengan cara memindahkan pegas 6 inci ke atas

posisi kesetimbangannya dan memberikan gaya ekternal F(t)=8 sin 4t. Tentukan

pergerakan selanjutnya dari beban jika hambatan dari medium sekitarnya dapat

diabaikan.