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let N is a normal cyclic subgroup of a group G,then prove that every subgroup of N is normal in G.
Sam purchased 1000m2 of material and needed to cut it into rectangles of area 200cm2 for a patchwork quilt. This can be done with no waste. How many rectangles can Sam make.
Why is it important to simplify radical expressions before adding or subtracting? How is adding radical expressions similar to adding polynomial expressions? How is it different? Provide a radical expression for your classmates to simplify.
Consider the curve 5x3+8xy+5y2 = 45. Use implicit differentiation to calculate the derivative dy/dx. Hence determine the point/s which has/have a horizontal tangent.
Let phi : R^2 --> R be a function given by phi(x,y) = x^3 + xy + y^3 +1 For which points p =(0,0) , p=(1/3,1/3), p =(-1/3,-1/3) is the subset phi^-1 ( phi(p)) an imbedded sub-manifold of R^2.
How many bit strings of length n are palindromes? Hint: Consider two cases n is even and n is odd. Note a palindrome is a "string" of letters or numbers which read the same frontwards and backwards.
two cars leave a city and head in the same direction. after 7 hours, the faster car is 35 miles ahead of the slower car. the slower car has traveled 329 miles. what is the speed of the two cars?
the hospitals marketing and finance departments have just provided you as chief financial officer with pro forma income
How many bags will the recycling center accept?
Provide brief justification for those that are and counter examples for those that are not.
A spring has a natural length of 26 cm. If a 25 N force is required to keep it stretched to a length of 39 cm, how much work W is required to stretch it from 26 cm to 28 cm? (Round your answer to the nearest hundredth.)
As part of his retirement planning, Mr. Martin purchases an annuity that pays 8.5% compounded semiannually. If the semiannual payment is $9,500, how much will Mr. Martin have saved in 4 years?
A ladder leans against a vertical wall.When the foot of the ladder slides 5cm to the left, how far does the top of the ledder move vertically ?
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