Dy/dx = dy/dt * dt/dx
xy = 4
y + x(dy/dx) = 0 by implicit differentiation.
x(dy/dx) = -y
dy/dx = -y/x
<span>dy/dx = dy/dt * dt/dx dy/dt = -2
</span>
<span>-y/x = -2 * dt/dx
</span>
y/(2x) = dt/dx
dt/dx = y/(2x)
dx/dt = 2x/y
When x = -3, xy = 4, y = 4/x = 4/-3 = -4/3
dx/dt = 2*-3/(-4/3) = -6 *-3/4 = 18/4 = 9/2 = 4.5
dx/dt = 4.5
34/40 = 17/20 in fraction form
& 0.85 in decimal form
Answer:
It is the second choice.
Step-by-step explanation:
Divide both side by pi r squared. Boom.
Answer:
h = 147 - 16t^2.
Step-by-step explanation:
Use the following equation of motion
h = ut + 1/2 gt^2 where h = height, u = initial velocity , g = acceleration due to gravity and t = the time.
So here we have:
h = 14t + 1/2 * -32 * t^2
h = 14t - 16t^2
Answer:
1/2
Step-by-step explanation:
A six sided die has 1, 2, 3, 4, 5, 6. Out of those numbers, 3 of those are even numbers. Meaning you have a 3/6 chance. This 3/6 can be reduced to 1/2.