Help with complex numbers
Hello i'm getting ambiguity with the expression 1^i. 1 can be written as e^0 or e^(2pi*i) this leads to confusion because solving (e^0)^i, I obtain 1 and I simplify e^(2pi*i)^i and obtain e^(-2pi)...
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11/28/18
About continuum hypothesis
Sir why continuum hypothesis isn't falsifiable. It states that "There is no set whose cardinality is strictly between that of the integers and the real numbers"; so can't we make a set which...
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11/05/18
Question on proofs on functions (discrete)
Having trouble figuring out this proof: Let A --> B. Let C, D c E. For any set C, let f(C) = { f(c) | c∈C }.Prove that f(C U D) = f(C) U f(D)
Min and max of the function f(x,y) =3x-y
Having some troubles supposed to find the minimum and maximum to this but since I've been gone I missed the work and got behind
10/28/18
Solve the Inequalities
a) If f(x) is a decreasing function (that is, the graph of f always move down as you move from left to right), with f(5)=2, solve the inequality for f(x)>2 b) If f(x) is an increasing function...
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10/15/18
Partial Differentiation
The Function f(x,y)= x^2+y^2+xy+9x has one critical point. Find it and identify it as a local max local min or saddle point
10/11/18
Calculus Question
Suppose f is continuous on [0,8] and the only solutions of the equation f(x)=2 are x=1 and x=7. If f(3)=-14, explain why f(5)<2
How many tangent lines can they have in common?
Two circles of radii 1 and 2 intersect at only one point
10/02/18
Express the function F in the form f ∘ g ∘ h. F(x) = 5x^2 + 8. (f(x), g(x), h(x)) =( ? )
Please Help. I'm so confused
10/01/18
Find the absolute extrema of the function on a closed interval
g(x) = (8x^2)/(x-2) , [-2,1]
looking for: minimum (smaller x value) (x,y) = minimum (larger x value) (x,y) = maxiumum (x,y) =
09/29/18
What is an implicit function? Give an example of such function.
What is an implicit function? Give an example of such function.
09/27/18
If a sequence is bounded below only, then is it unbounded or not bounded?
Basically I want to ask if a sequence is not bounded then is it necessarily unbounded?
09/17/18
Let A,B be subsets of a set X. Prove that A is a subset of B if and only if B compliment is a subset of A compliment
Let A,B be subsets of a set X. Prove that A is a subset of B if and only if B compliment is a subset of A compliment
09/13/18
Find if the following graphs are symmetric with respect to the axes or the origin
A. y=2x
B. y=3x
C. y=x^4-x^2
D. y=x^4-x
08/27/18
Write an algebraic sentence involving distance which is equivalent to the given algebraic sentence
A. |x-5|=1
B. |x+3|=5
07/06/18
(1 point) If determine = What theorem did you use to arrive at your answer?
(1 point) If 8x-22 ≤ f(x) ≤ x2+4x-18determine: lim(x→2) f(x)=
What theorem did you use to arrive at your answer?
05/08/18
Suppose f is continuous and f is one-to-one. Then f −1 exists and f −1 is differentiable.
cal 2 cal 2 cal 2 cal 2 cal 2
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