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Sum of the angles in a triangle is always 180 degrees. Let A, B, C be the corners of a triangle and a, b, and c represent the angles at these corners respectively.
Write the formula for angle A in terms of the angels b and c. Also find a when b=20 and c =155 degrees.
Automorphism, Abelian Group and GCD, Let G be a finite Abelian group of order n, and let m be a positive integer with gcd(m,n)=1. Prove that φ:G-->G defined by φ
There are 12 light bulbs, 5 of which are defective. All bulbs look alike and have an equal probability of being chosen. Three light bulbs are selected and placed on the table.
Poisson Kernel and Harmonic Function, Let P_r(t)=R((1+z)/(1-z)), z=re^it be the Poisson kernel for the unit disc |z|
Use a diagram to list the sample space showing possible arrangements of heads and tails when four coins are tossed . Then use the sample space to find the probability that:
Attendance at the Fireman's Ball has been declining. Each year, the number attending is 2/3 of the previous year's attendance and the cost of food is 3/4 that of the previous year.
Find the 99 percent confidence interval on the proportion of all such gloves that are shorter than nine inches.
Find the derivative of the function.
Recall that if z=x+iy then, x=(z + zbar)/2 and y=(z-zbar)/2. By formally applying the chain rule in calculus to a function F(x,y) of two real variables, derive the expression
Differentiate the function f(x) =
Suppose demand is expressed as QD = 300 - 50P. If we want to make this equation consistent with the typical supply and demand diagram, this equation must be stated as:
Evaluate the sequence generated by generating functions
G is a finite group with elements a and b. Let the conjugacy classes of these elements be A and B respectively and suppose |A|^2, |B|^2
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