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
The first four terms are -6, -7, -9 and -13.
Step-by-step explanation:
- Step 1: Given first term, a(1) = -6 and the nth term, a(n) = 2a(n-1) + 5. FInd the first four terms.
⇒ a(1) = -6
⇒ a(2) = 2a(1) + 5 = 2 × -6 + 5 = -12 + 5 = -7
⇒ a(3) = 2a(2) + 5 = 2 × -7 + 5 = -14 + 5 = -9
⇒ a(4) = 2a(3) + 5 = 2 × -9 + 5 = -18 + 5 = -13
Answer:
3619.11 cubic inches
Step-by-step explanation:
volume of a cylinder is
diameter is 16 in, so radius (r) is 8 in
plug in values: cubic inches
Do 45/225 and simplify and that’s your answer