Answer:
dv = surface area * dh
so
dv/dt = surface area * dh/dt
width at surface = 40 + (80-40)(30/40)
= 40 + 30 = 70 cm = 0.70 m
so
surface area = 9 * .7 = 6.3 m^2
so
.3 m^3/min = 6.3 m^2 * dh/dt
and
dh/dt = .047 meters/min or 4.7 cm/min
Step-by-step explanation:
The local minima of 
are (x, f(x)) = (-1.5, 0) and (7.980, 609.174)
<h3>How to determine the local minima?</h3>
The function is given as:
See attachment for the graph of the function f(x)
From the attached graph, we have the following minima:
Minimum = (-1.5, 0)
Minimum = (7.980, 609.174)
The above means that, the local minima are
(x, f(x)) = (-1.5, 0) and (7.980, 609.174)
Read more about graphs at:
brainly.com/question/20394217
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Answer:
Line N is a vertical line with an undefined slope.
Step-by-step explanation:
When the points that line N passes through are graphed, they form a vertical line.
All vertical lines have an undefined slope.
We can also check if it's undefined by finding the slope.
The quotient would be undefined. You cannot divide by zero.
Hope this helps.
Step-by-step explanation:
LHS= sin 3x/sin x - cos 3x/cosx
Taking LCM,
<u>=</u><u>sin3xcosx- cos3xsinx</u>
sinxcosx
<u>=</u><u>sin(3x-x)</u>
sinxcosx
= <u>2sin2x</u>
2sinxcosx
=<u> </u><u>2sin2x</u><u> </u>
sin2x
=2
= RHS.
Proved.
Answer:
domain is [-3,3] & range is [-3,3]
Step-by-step explanation:
When given a graph of a circle and ask to solve range and domain....
First: <u>find the four points</u> of the circle:
(-3,0);(3,0);(0,-3);(0,3) . <em> **Best to plot these points on this graph to understand where the points are and what we are looking at.</em>
Second: Look for <u>range(vertical directions/left and right) and domain(horizontal direction/up and down)</u>.
domain: x-values, first coordinate (-3,0) & (3,0)
range: y-values, second coordinate (0,-3);(0,3)
Third: take what you know and solve domain and range*include bracket to show domain and range
domain is [-3,3] & range is [-3,3]
