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Find interval for which the function f(x)=xex(1-x) is increasing or decreasing function
In arithmetic, we deal with numbers. In contrast to this, in algebra, we deal with symbols. These symbols are often represented by lower case alphabets. One of th
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A round balloon of radius 'a' subtends an angle θ at the eye of the observer while the angle of elevation of its centre is Φ.Prove that the height of the center of the balloon is a
Model of 180 meter tall building using a scale of 1.5 centimeters = 3.5 meters. How tall will the model be?
Q. How many permutations can you make of the word STATISTICS? Solution: There are 10 letters in the word STATISTICS, i.e. n=10. Three of them are S's, so n 1 =3, three are T'
how to find out percentage error?
The bowling alley suggests selecting a ball that is 1/7 of the bowlers weight. If the bowler weighs 84 pounds, how much should the bowling ball weigh?
Prove that Prim's algorithm produces a minimum spanning tree of a connected weighted graph. Ans: Suppose G be a connected, weighted graph. At each iteration of Prim's algorithm
Surface Area with Parametric Equations In this final section of looking at calculus applications with parametric equations we will take a look at determining the surface area o
Dot Product- Vector The other topic for discussion is that of the dot product. Let us jump right into the definition of dot product. There is given that the two vectors a
Differentiate the given equation you get e^x(1-x) + (xe^x(1-x))*(1-2x) this can be written as (e^x(1-x) )*[1+x - 2x^2] this equation is +ve if 1+x - 2x^2) is >0 this equation is positive in (-ve infinity to -1/2)....union ......(1 to +ve infinity)
Differentiate the given equation
you get e^x(1-x) + (xe^x(1-x))*(1-2x)
this can be written as (e^x(1-x) )*[1+x - 2x^2]
this equation is +ve if 1+x - 2x^2) is >0
this equation is positive in (-ve infinity to -1/2)....union ......(1 to +ve infinity)
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