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Some important issue of graph
Before moving on to the next example, there are some important things to note.
Firstly, in almost all problems a graph is pretty much needed. Often the bounding region, that will give the limits of integration, is hard to determine without a graph.
Also, it can frequently be hard to determine which of the functions the upper function is and that is the lower function without any graph.
At last, If we obtain a negative number or zero we can be sure that we've committed a mistake somewhere and will have to go back and determine it.
Note that sometimes rather than saying region enclosed by we will say region bounded by. They mean the simialr thing.
Differentiate following. f ( x ) = sin (3x 2 + x ) Solution It looks as the outside function is the sine & the inside function is 3x 2 +x. The derivative is then.
Let g be a function from the set G = {1,2,3,...34,35,36). Let f be a function from the set F = {1,2,3,...34,35,36}. Set G and F contain 36 identical elements (a - z and 0 - 9).
what is the result if 816.537 is rounded to the nearest tenth
Solve x^2 - 2x -15 = 0
help
Determine the second derivative for following functions. Q (t ) = sec (5t ) Solution : Following is the first derivative. Q′ (t
A jeweler has bars of 18-carat gold and 12-carat gold. How much of every melted together to obtain a bar of 16-carat gold, weighing 120 gm ? It is given that pure gold is 24 carat.
a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.find the value of k
Evaluate: 30 - 12÷3×2 =
You are painting the surface of a silo that has a diameter of 16 ft and height of 50 ft. What is the net surface area to be painted? Consider the top of the silo is 1/2 a sphere
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