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1.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd and liminf Ek=[(-1,(1/k)] for k even. 2.Show that the set E = {x in R^2 : x1, x2 in Q} is dense in R^2. 3.let r>0 and S={x in R^3:(x1)^2+(x2)^2+(x3)^2<(r)^2} show that diam S=2r.4.let x=(x1,...xn) in Rn.show that (? k=1,n xk)^2<=n|x|^2.
Give a Definition of Perimeter and Area? Perimeter is the distance around a flat (2-dimensional) shape. Area is the amount of space taken up by a flat (2-dimensional) shape. is
a) Let n = (abc) 7 . Prove that n ≡ a + b + c (mod 6). b) Use congruences to show that 4|3 2n - 1 for all integers n ≥ 0.
The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to
The square of a number added to 25 equals 10 times the number. What is the number? Let x = the number. The statement, "The square of a number added to 25 equals 10 times the n
Quotient Rule : If the two functions f(x) & g(x) are differentiable (that means the derivative exist) then the quotient is differentiable and,
A car travels 283 1/km in 4 2/3 hours .How far does it go in 1 hour?
the limit of f(x) as x approaches 5 is equal to 7. write the definition of limit as it applies to f at this point
Solve the following: Line Bearings Distance a. N 15 E 4km b. S 10 E ? c. N 80 W ?
Function of a Function Suppose y is a function of z, y = f(z) and z is a function of x, z = g(x)
HISTORY OF UNITARY METHOD
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