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Find interval for which the function f(x)=xex(1-x) is increasing or decreasing function
ABC is a triangle right angled at c. let BC=a, CA=b, AB=c and lrt p be the length of the perpendicular from C on AB. prove that cp=ab and 1/p2=1/a2+1/b2
Below is the sketch of a function f ( x ) . Sketch the graph of the derivative of this function f ′ ( x ) . Solution : At first glance it seems to an all however impossib
From top of a tower a stone is thrown up and it reaches the ground in time t1. A second stone is thrown down with the same speed and it reaches the ground in t2. A third stone is r
Can two lines contain a given point
Evaluate following limits. Solution In this part what we have to note (using Fact 2 above) is that in the limit the exponent of the exponential does this, Henc
Solve the form x 2 + bx - c ? This tutorial will help you factor quadratics that look something like this: x 2 + 11x - 12 (No lead coefficient; positive middle coeffic
Importance of positioning
Eduardo is merging two 6-inch pieces of wood with a piece in which measures 4 inches. How many total inches of wood does he have? This problem translates to the expression 6 ×
sin^2alpha *sec^2beta +tan^2 beta *cos^2alpha=sin^2alpha+tan^2 beta
without a calculator give the exact value of each of the following logarithms. (a) (b) log1000 (c) log 16 16 (d) log 23 1 (e) Solution (b) log10
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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