Answer:
1. V = πr²h
2. dv/dt = πr²dh/dt
3. dv/dt = 113.04
Step-by-step explanation:
We have these information
Radius R = 3cm
Height = h
Volume = V
We have been given dh/dt = 4cm
1.
An equation relating V, r, h
Volume of cylinder = πr²h
2.
The related rates equation
dv/dt = πr²dh/dt
dv/dt = π3²dh/dt
3. Continuing from number 2 above, we have
dv/dt = π3²dh/dt
= π9x4
= 3.14x9x4
= 113.04
These are the answers to the questions
Answer:
n = 80
Hope this helps(:
Step-by-step explanation:
We are asked to prove tan(θ / 2) = sin θ / (1 + cos θ). In this case, tan θ is equal to sin θ / cos θ. we can apply this to the equality. sin θ is equal to square root of (1-cos θ)/2 while cos θ is equal to <span>square root of (1 + cos θ)/2.
Hence, when we replace cos </span><span>θ with </span>square root of (1-cos θ)/2, we can prove already.
Answer:The equation x² + 7 = 0 has no solution
Explanation:1- using graph:To solve the equation means graphically means to find the x-intercepts.
The attached image shows the graph of the given function.
We can note that there are no x-intercepts. This means that the given function has no real solutions
2- using algebra:To solve the equation algebraically means to find the values of x that would make the equation equal to zero.
Solving the given equation, we would find that:
x² + 7 = 0
x² = -7
x = <span>± </span>√-7
The square root of a negative number will always give imaginary values. This means that the equation has no real solutions
Hope this helps :)
Answer:
8/45
Step-by-step explanation: