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Find interval for which the function f(x)=xex(1-x) is increasing or decreasing function
1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2 for any x, y, z ε Z. 2. Prove ∀n ε Z, that n is divisible by 9 if and only if the sum of its digits is divisible by 9.
27-125 a power -135a +225a power2
Before going further, let us repeat an aspect of learning which is useful to keep in mind while formulating teaching strategies. A child who can add or subtract in the context of s
From a point P, two tangents PA are drawn to a circle with center O.If OP=diameter of the circle show that triangle APB is equilateral. Ans: PA=PB (length of tangents
A photographer decides to decrease a picture she took in sequence to fit it within a certain frame. She requires the picture to be one-third of the area of the original. If the ori
A mailbox opening is 4.5 inches high and 5 inches wide. Determine the widest piece of mail able to ?t in the mailbox without bending? a. 9.5 inches b. 2.2 inches c. 6.7 in
Solve the subsequent IVP Y'' - 9 y = 0, y(0) = 2, y'(0) = -1 Solution First, the two functions y (t ) = e 3t and y(t ) = e -3t That is "nice enough" for us to
A die is thrown repeatedly until a six comes up. What is the sample space for this experiment? HINT ;A= {6} B={1,2,3,4,5,} Ans: The sample space is = {A, BA, BBA, BBBA, BBBBA.
what is derivative
Integrate ((cosx)*(sinx))/(sin(2x)) with respect to x
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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