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Find interval for which the function f(x)=xex(1-x) is increasing or decreasing function
from 0->1: Int sqrt(1-x^2) Solution) I=∫sqrt(1-x 2 )dx = sqrt(1-x 2 )∫dx - ∫{(-2x)/2sqrt(1-x 2 )}∫dx ---->(INTEGRATION BY PARTS) = x√(1-x 2 ) - ∫-x 2 /√(1-x 2 ) Let
Melisa and Jennifer threw a fiftieth birthday party for their father at a local restaurant. While the bill came, Melisa added a 15% tip of $42. Jennifer said in which the service w
On a canoe trip. a person paddled upstream against the current ata an average of 2mi/h. the return trip with the current at 3mi/h. Need to find the paddling spped in still water an
whta are the formulas needed for proving in trignometry .
Definition : A function f ( x ) is called differentiable at x = a if f ′ ( x ) exists & f ( x ) is called differentiable onto an interval if the derivative present for each of the
In the prior section we looked at Bernoulli Equations and noticed that in order to solve them we required to use the substitution v = y 1-n . By using this substitution we were cap
Definite integration It involve integration among specified limits, say a and b The integral is a definite integral whether the limits of integration are as: a and b
the probability that an account officer will pass her exam is 5/9. if she pass,the probability that she will be promoted is 3/4. she is not promoted if she fails her professional e
Theorem Consider the subsequent IVP. y′ = p (t ) y = g (t ) y (t 0 )= y 0 If p(t) and g(t) are continuous functions upon an open interval a o , after that there i
show that the subtangent at any point on parabola y2 =4ax is twice the abscissa at that point.
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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