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Solve the given problems by finding the appropriate derivative.
The relative number N of gas molecules in a container that are moving at a velocity v can be shown to be
where a and b are constants. Find v for the maximum N.
Let T be a set of subtrees of a tree T, and k ∈ N.Show that every automorphism of a tree fixes a vertex or an edge. Prove or disprove that every connected graph contains a walk that traverses each of its edges exactly once in each direction.
Determine the type I and type II error
Find the volume of a standard basketball. round your answer tp the nearest tenth of a cubic inch. If the radius is 9.5.
How could you interpret infinity in the y values for costs, a negative x value for time, or a horizontal asymptote in y values for profits?
The product and quotient rules Differentiate
The speed of a passenger train is 18 mph fasster than the speed of a freight train. The passenger train travels 280 miles in the same time it takes the freight train to travel 190 miles. Find the speed of each train.
A city lot has the shape of a right triangle whose hypotenuse is 4 ft longer than one of the other sides. The perimeter of the lot is 360 ft. How long is each side of the lot?
Draw a scalene triangle and label the vertices, A,B, AND C. The side opposite vertex A is line segment BC. Find the midpoint of line segmentBC by constructing the bisector of line segmrnt BC. label the midpoint M.
When graphing, assume x = 0 represents the year 2006. What is the trend you observe in the gas prices from 2006 to 2009?
Consider R2 with the following rules of multiplications and additions: For each x=(x1,x2), y=(y1,y2): Is it a vector space, if not demonstrate which axioms fail to hold.
the regular price of a suit is 99. the suit is on sale for 33 13 off. find the sale price. 2. dara borrowed 3000. she
Sketch a graph of the following functions: g(x) = |2x2 - x -15|. Specify whether each function is even , odd, or neither. Write down the intervals in which each function is increasing
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