arion314 arion314

18-03-2018
Mathematics

contestada

Show that the curve x = 6 cos(t), y = 5 sin(t) cos(t) has two tangents at (0, 0) and find their equations.

Respuesta :

sqdancefan sqdancefan

18-03-2018

We can write
cos(t) = x/6
so
y = 5(±√(1 -(x/6)^2)*x/6
Then
y' = (±5/6)*(√(1 -(x/6)^2) + x/(2√(1 -(x/6)^2)*(-2(x/6))
The limit as x → 0 is ±5/6

The equations of the two tangents are
y = (5/6)x
y = (-5/6)x

Ver imagen sqdancefan

Answer Link

Otras preguntas

elements with low specific heat values have which characteristic?

All of the following aided in the decline of Incan Empire except

what is the answer?????

which situation represents an internal conflict

who is the 45 president of the usa

how many times greater is the number representd by the digit in the thousands place than the number represent by the digit in the hundreds place

for every three apples sold at the market four bananas are sold if there are 345 apples sold at market in one day how many bananas are sold

what was the time period of Western Civilization between 500 AD-1000 AD? A. dark ages B. medieval period. C. fall of the Roman Empire. D. Renaissance.

a car can travel 120 kilometers in 2 hours . how long will it take the car to travel 300 km ?

3/4k + 3/8k = 1/2 what is k?