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Complex Analysis
Give the definition of Banach spaces and explain why this notion is important only when
working with infinite dimensional vector spaces.
working with infinite dimensional vector spaces.
Complex Analysis
Let {sn}, {tn} and {un} be sequences such that sn< tn <un for all n. Prove that if sn approaches L and un approaches L, then tn approaches L
Complex Analysis
Find the normalizer of each subgroup of D[sub]2[/sub]
Complex Analysis
Show that the line y = x + 2 is a tangent to the parabola y = x[sup]2[/sup]
Complex Analysis
(a) Show that the line y = x + 2 is a tangent to the parabola y = x[sup]2[/sup]- 5x + 11.
(b) Let Q be the point where these two functions intersect. Determine the equation of thenormal to the parabola at Q.
(c) Find the area of the region enclosed between the parabola and the normal to theparabola at Q.
(b) Let Q be the point where these two functions intersect. Determine the equation of thenormal to the parabola at Q.
(c) Find the area of the region enclosed between the parabola and the normal to theparabola at Q.
Complex Analysis
Taylor approximation error for ln(1-x) how big should n be so the error is <10^-4 that is bounded by -.5<x<.5 and -1<x<.5
Complex Analysis
A supertanker spilled a total of 198666 barrels of oil. How many liters would this be? Given 1 barrel = 42.0 gal; 1 gal = 4 quarts and 1 quart = 9.46x10-4 m3?
Complex Analysis
Assume that a,b are real numbers. Show a^2 +b^2=0 implies a=b=0
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#340153 on Dec 2023
#340153 on Dec 2023