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In this problem, we will explore how the cardinality of a subset S ⊆ X relates...
Prove mathematically that if a Turing Machine runs in time O(g(n)), then it runs in time...
[Q] Prove or disprove: a)every subset of an uncountable set is countable. b)every subset of a...
Find a basis for the space spanned by the following vectors, (1,1,1) (-2,3,5) (4,-1,3) (-7,3,7) Please...
Assume that p does not divide n for every prime number p with n> 1 and...
(a) What is the center of the group D4 of symmetries of the square? (b) What...
2. Population Center of the US Since the opening up of the West, the US population...
Please explain it in detail. Let φ∶G → H be a homomorphism with H abelian. Show...
Let G be an abelian group and S ≤ G. Show that S ⊲ G and...
a) Give an example of a function that crosses its horizontal asymtote exactly 3 times. Explain...
Suppose n and m are integers. Let H = {sm+tn|s ∈ Z and t ∈ Z}....
There are 20 students in a class. 14 are computer science majors, 9 are math majors,...
Determine the number of permutation in the S9 permutation group that maps 2 to 5 at...
sketch a neat, piecewise function with the following instruction: 1. as x approach infinity, the limit...
A retired couple requires an annual return of $2,000 from investment of $20,000. There are 3...
prove the de-morgan's law that: (AuB) =A<nB <
Show that the given functions y1 and y2 are solutions to the DE. Then show that...
Find the series for cos(nθ) in powers of sin θ
o prove that if p(x) ∈ F[x], and a ∈ F, then p(a) = 0 if...
Suppose {x1,x2,...xn} is linear dependent and {x1,x2} is linear independent. Show that: 2 < than or equal...
5. Let I be an open interval with a ∈ I and suppose that f is...
3. Use the definition of a limit (Definition 3.1.1) to show the following: (a) limx→2 (x...
4. Please work each part. (a) Discuss the existence or non-existence of limx→0 2 sin 1...
Each of the following defines a metric space X which is a subset of R^2 with...
10. Let P(k) be the following statement: ”Let a1, a2, . . . , ak be...
9. Let a, b, q be positive integers, and r be an integer with 0 ≤...
Prove: (p ∧ ¬r → q) and p → (q ∨ r) are biconditional using natural...
8. Let a, b be integers. (a) Prove or disprove: a|b ⇒ a ≤ b. (b)...
The company has agreed on an 8 character password format, comprised of upper case letters ,...
For any subgroup A of a group G, and g ∈ G, show that gAg^-1 is...
The function is f(x)= (x^n - x^{-n} ) / ( x - x^{-1} ) Can we...
1-classify the quatric in R^3 with the equation , then determine the center of each. -3...
Show that the symmetric group Sn (for n>= 2) is generated by the 2–cycles (12) and...
Let free(φ) be the set of all variables that occur freely in φ. Define free(φ) formally...
Using the Laplace transform, solve the system of initial value problems: w ′′(t) + y(t) +...
) Let α be a fixed positive real number, α > 0. For a sequence {xn},...
Let X = (xn) be a sequence in R^p which is convergent to x. Show that...
Suppose that Prolog facts are used to define the predicates parent(P,X), man(X), and woman(X), which represent...
Please prove (a1+a2+……+an)^2/n ≤ (a1)^2 + (a2)^2 +……+ (an)^2.
Consider the proposed matrix factorization: A = LS, where L is lower triangular with 1’s on...
What are the rules for when we have to reverse the inequality symbol?
Consider two copies of the real numbers: one with the usual topology and one with the...
Consider the product topology on the plane determined by the left-hand-side topology. Describe and give three...
Anyone can solve this ASAP... One deck of card, u have total 330 chips, total 75...
3. Solve the Neumann problem for diffusion on the half-line: ut − kuxx = 0 subject...
Prove that f(z) = ez is continuous everywhere.
Solve z2 + 2z − i = 0. The roots must be in one of the...
Suppose that G is a cyclic group, with generator a. Prove that if H is a...
Vanessa wants to cover her closet floor with tiles that are 1/3 foot on each side....
What are the phases and absolute values of the following complex numbers? z = (1-i)^6 z...
1) Compute 3^23 mod 5 by using modular arithmetic. List the steps. 2) S4 is a...
1. Find the general solutions a. xy’ + ln(x)y = 0 b. xy’ - 3x =...
Given that f(x) = { (1,3), ( 5,7), (9, 11), ( 13, -5)} and g(x) =...
In Nova Scotia we use a distinctive combination of letters and numbers to represent the license...
Linear Algebra find all the solutions of the linear system using Gaussian Elimination x1-x2+3x3+2x4=1 -x1+x2-2x3+x4=-2 2x1-2x2+7x3+7x4=1
1) find a cubic polynomial with only one root f(x)=ax^3+bx^2+cx +d such that it had a...
For an arbitrary m x n matrix, Prove that (AT)T = A by using the definition...
Prove that if b doesnt equal 0, and a = bx + cy, then gcd(b,c) <=...
Solve the Bernoulli's equation: dy/dx + (2/x)*y= lnx/3x^6 y^2
The graph below shows three straight lines: Line A, Line B and Line C. For each...
Evaluate, as a decimal number, the half-precision numbers with these bit representations 0 10000 1000000000 0...
What can be concluded from the premises? What rule of inference did you apply? 1. If...
Find all functions x(t),y(t) satisfying x'(t) = y(t) - x(t) y'(t) = 3x(t) - 3y(t) Find...
6. How much should it cost to ship 40,000 board-feet of green sweetgum lumber if you...
Derive the Fourier transform of a cylinder with a radius of R and length of L....
Suppose S is a subset of the Reals and is non-empty and bounded above. Prove that...
Prove or disprove following by giving examples: (a) If X ⊂ Y and X ⊂ Z,...
Which of the four fundamental subspaces are orthogonal? What does this mean about the vectors that...
Prove that the (square root of 3)/3 is irrational.
Prove that the square root of 5 is irrational.
Prove that an orthogonal projection is a positive operator.
Let ?(?) be convex in ??. Fix ?2, . . . , ?? and consider the...
Prove that if we randomly pick 39 numbers then there will always be 3 of them...
Find a particular solution to the differential equation ?″−2?′−8?=64?3. y ″ − 2 y ′ −...
Q.35 A population has a mean of 20 and a standard deviation of 5. Which of...
George farms on 1000 acres in the Texas Panhandle. His two crops are corn (x) and...
5) A debt of $5000.00 is to be repaid by payments of $2000.00 after two years,...
The “Possible Missions” domain Let the constant m mean “the current mission”. Let the predicate M(x)...
Beginning with one pile containing n matchsticks, each player must, at his or her turn, separate...
Find a particular solution to ?″+25?=−20sin(5?). y ″ + 25 y = − 20 sin ...
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