Dy/dx = (dy/dt) / (dx/dt)
dy/dt = 2cos(2t)
dx/dt = -2sin(2t)
dy/dx = 2cos(2t)/-2sin(2t) = -cot(2t)
d^y/dx^2 = d(-1/tan(2t))/dx = (tan(2t) * 0 - (-1)*2sec^2(2t))/tan^2(2t) = 2sec^2(2t)/tan^2(2t) = 2csc^2 (2t)
The answer would be C. $27.20
Answer:
= 10n
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and d = a₂ - a₁ = 20 - 10 = 10 , then
= 10 + 10(n - 1) = 10 + 10n - 10 = 10n
810 total feet because 135 times 6 is 810
When x = 0 y = 0 so the graph has an intercept at the origin ( 0, 0)
let x^5 + 10x - 9x = 0
x^5 + x = 0
x(x^4 + 1) = 0
x^4 = - 1 so there are no other real roots
There is only 1 intercept at (0, 0) answer