iriehsu7606 iriehsu7606
  • 12-12-2017
  • Mathematics
contestada

Find the length of the curve. r(t) = cos(2t) i + sin(2t) j + 2 ln(cos(t)) k, 0 ≤ t ≤ π/4

Respuesta :

alekos
alekos alekos
  • 15-12-2017
[tex]dx/dt = -2sin2t: dy/dt = 2cos2t: dz/dt = -2sint/cost[/tex][tex] \int\limits^ \frac{ \pi }{4} _0 { \sqrt{(dx/dt)^2+(dy/dt)^2+(dz/dt)^2} } \, dt [/tex][tex] integral (0 to \pi /4){\sqrt{4sin^22t+4cos^22t+4[tex]int ( \sqrt{4 + 4tan^22t})dt [/tex][tex] \int\ {sect} \, dt ::from::t= 0 to \pi/4 [/tex][tex]ln(sect+tant) from t = 0 to pi/4 [/tex][tex]ln(sec \pi +tan \pi )[/tex][tex]Length = -1[/tex]sin^2t/cos^2t}} dt [/tex]
Answer Link

Otras preguntas

sjifisifnjsjemwjjfjwudjjsdjf
Materials and proteins are transported through the cells by the:.
An insurance company chartered in another country has been licensed to operate in your state. In your state the insurance company is:
11+22+33+44+55+66+77+88+99+110+220+330+440+550+660+770+880+990+1110=​
The hypotenuse of a right triangle measures 17 cm and one of its legs measures 13 cm. Find the measure of the other leg. If necessary, round to the nearest tent
Explain how parts of a glucose molecule are used to make amino acids.
Can somebody write an SA for mahatma ghandi in french, 100 to 125 words (Describe his accomplishments, character)
what does 7,124 ÷ 26 equal too explain with what you know
The degree to which people identify with their jobs and consider their perceived performance levels important to self-worth is ________.
________ involves highly trained employees known as Champions, Master Black Belts, Black Belts, and Green Belts.