Answer:
(-6,4)
Step-by-step explanation:
You started at (-4,2) The first number in the ordered pair moves the number left and right and the second number moved the point up and down.
We are first told to move the point 2 units to the left. -4 is my left right number. If I am at -4 and I go to unites to the left, I will be at -6. My new point is now (-6,2). Next we are told to go up 2. The 2 number in my ordered pair tells me that I am 2 above the x axis. Now I am going to go two more units up. I am now at 4, so my new ordered pair after the translation is (-6,4)
Answer:
Step-by-step explanation:
Given:
x = 2cost,
t = (1/2)arccosx
y = 2sint
dy/dx = dy/dt . dt/dx
dy/dt = 2cost
dt/dx = -1/√(1 - x²)
dy/dx = -2cost/√(1 - x²)
Differentiate again to obtain d²y/dx²
d²y/dx² = 2sint/√(1 - x²) - 2xcost/(1 - x²)^(-3/2)
At t = π/4, we have
(√2)/√(1 - x²) - (√2)x(1 - x²)^(3/2)
