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Let A={1,1/2,1/4,1/8,…} and B={ 1/2,3/4,7/8,…}. Explain why supA=supB=1?
What is Bolzano-Weierstrass Theorem? Give the proof.
Show that f(x)=x^2 is not uniformly continuous on R.
Let A={1,1/2,1/4,1/8,…} and B={ 1/2,3/4,7/8,…}. Explain why sup A=sup B=1
What is the difference between monotonic function and completely monotonic function and absolutely monotonic function?
1.let a1=a2=5 and an+1=an +6an-1 ,n>=2.show by induction thAT an an=3n-(-2)n if n>=1.
5.evalute t∫(3x2+2y+z)dx.dy.dz where T={(x1y1z)/│x-y│/<=1,│y-z│<=1,│z+x│<=1}
I am estimating how much I would need to charge for painting 148 rooms in a new motel each room measuring 14 ft by 16 ft by 10 ft high. What is the area?
let A and B two subset of R, and let A+B:={a+b:a element A,b element B}.
prove that:
1) Sup(A+B)=Sup A + inf B
2) inf (A+B)= inf A + Sup B
Taxes and WACC. Rainbow in the dark manufacturing has a target debt equity ratio of .65 its cost of 13 %, and its cost of debt is 8 %. if the tax rate is 35 %. What is the companys WACC?
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