Answer:
the rate of change in volume is dV/dt = 4π mm³/s = 12.56 mm³/s
Step-by-step explanation:
since the volume V of a cylinder is related with the height H and the radius R through:
V = πR²*H
then the change in time is given by the derivative with respect to time t
dV/dt = (∂V/∂R)*(dR/dt) + (∂V/∂H)*(dH/dt)
the change in volume with radius at constant height is
(∂V/∂R) = 2*πR*H
the change in volume with height at constant radius is
(∂V/∂H) = πR²
then
dV/dt = 2π*R*H *(dR/dt) + πR²*(dH/dt)
replacing values
dV/dt = 2π* 2 mm * 20 mm * (-0.1 mm/s) + π (2 mm) ²* 3 mm/s = 4π mm³/s
dV/dt = 4π mm³/s = 12.56 mm³/s
Answer:
See attachment.
Step-by-step explanation:
The given functions are:
and g(x)=-1
To find the x-value of the point of intersection of the two functions, we equate the two functions and solve for x.
The graph that shows the input value for which f(x)=g(x) is the graph which shows the point of intersection of f(x) and g(x) to be at x=-2.
Answer:
do you have a photo of the figure?
<u>Answer</u>
3×(2×5)
<u>Explanation</u>
Multiplication of numbers is associative. For example,
(a×b)×c = a×(b×c)
This is also called grouping. We multiply more than 2 numbers by grouping.
For the equation given above, (3x2)x5, it can also be grouped as 3×(2×5).
