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Find two non-parallel vectors v1 and v2 in R2 such that ||v1||2=||v2||2=1 and whose angle with...
Liz wishes to take out an installment loan to finance the purchase of a sofa costing...
You can use dsolve in MATLAB...run simplify(...) on the solution...You should plot the homogeneous and the...
You can use dsolve in MATLAB...run simplify(...) on the solution...You should plot the homogeneous and the...
EUCLIDEAN GEOMETRY Let □ABCD be a quadrilateral on a surface satisfying the five axioms. Assume that...
A Norman window has the shape of a rectangle surmounted by a semicircle. Find the dimensions...
A rectangular box is to have a square base and a volume of 40 ft^3. If...
Janine is considering buying a water filter and a reusable water bottle rather than buying bottled...
Find the general solution using Variation of Parameters. y''-y'-2y=2e^(2t)
Prove directly that the group 2Z = {2k | k ∈ Z} and the group 5Z...
prove that these functions are uniformly continuous on (0,1): 1. f(x)=sinx/x 2. f(x)=x^2logx
1242) y=A x ln(x) + B x + F is the particular solution of the second-order...
Let f be continuous on a closed interval. then f assumes its minimum and maximum values....
Theorem: there exists a bijection between the Cantor set C and the unit interval [0,1]. Base...
proof with The following features: Trichotomy, Transitivity, Connection compatibility, Compatibility with multiplication 1.∀x, y ∈ Q...
Using tableau method, proof F is a tautology. F: (A → C) → [(B → C)...
Let f be a non-degenerate form on a finite-dimensional space V. Show that each linear operator...
Consider the following initial value problem: dy/dt = -3 - 2 * t2, y(0) = 2...
To purchase a specialty guitar for his band, for the last JJ Morrison has made payments...
Give an example of each if possible, if not possible tell why. 1) A set of...
Math Topic: Graphs and Trees (Please show all work if applicable) G1 = (V1, E1), where...
Use the Cantor-Schr oder-Bernstein theorem to prove that (0, ∞) and R have the same cardinality
a) Prove that the union between two countably infinite sets is a countably infinite set. b)...
Prove that if X and Y are disjoint countably infinite sets then X ∪ Y is...
1. a) Express z = −i−sqrt(3) in the form r cis θ, where θ= Argz, and...
On its Form 10-K for the year ended December 31, 2015, Bank of America Corp. reported...
A. (i) Consider the random variable X with pmf: pX (−1) = pX (1) = 1/8,...
1. a) Draw a sketch of: {z∈C|Im((3−2i)z)>6}. b) If 2i is a zero of p(z)=az^2+z^3+bz+16, find...
Give an example of a bounded unsigned function on [0,1] that is Lebesgue integrable but not...
Let H = X(X'X)^-1X' and M = In - X(X'X)^-1X' where X is a n x...
What can you say about the existence an uniqueness of solutions of the following differential equations?...
The table below shows the average monthly rainfall in inches for Los Angeles, California. Which model...
For the following LRC circuit with periodic electric source v(t), find the steady-periodic current in the...
Create truth tables to prove whether each of the following is valid or invalid. You can...
Find the minimal polynomial 0 in a vector space V given that the vector space is...
Five consecutive positive integers , p, q, r,s,t, each less than 10,000, produce a sum which...
Consider the following system of equations. Convert the following system of linear equations into a matrix...
Cryptography: Use Fermat's factorization to find a factor of 517.
By using delta- epsilon show that the two definitions of the limit are equivalent Def1: lim┬(x→x_0...
Cryptography: Decide if 2047 is a strong pseudoprime to the base 2.
Compare the monthly payment and total payment for the following pairs of loan options. Assume that...
Cryptography: Decide using a known method if 2701 is prime or not.
Using appropriate syntax express the following using predicate logic: a) Consumption of food with heavy cholesterol...
Say that x^2 = y^2 mod n, but x != y mod n and x !=...
Prove that if every short exact sequence of modules 0-> Q -> M -> N ->...
suppose {V1, V2 , V3 } is a pairwise orthogonal set of nonzero vectors in Rn....
For n > 0, let an be the number of partitions of n such that every...
Let V be an inner product space. Prove that if w⃗ is orthogonal to each of...
Using for loop and if statement, write a MATLAB code to plot a graph for x(t)...
Find the type, transform to normal form, and solve the following PDE: uxx - 4uxy +...
Based on 20 samples, the average resistance is 25 ohms and the sample standard deviation is...
Let G be a connected planar graph with 3 or more vertices which is drawn in...
Let N denote the set of positive integers, and let x be a number which does...
Suppose that G is a group with subgroups K ≤ H ≤ G. Suppose that K...
Using the rational function f(x)/g(x)=28x^2−x−15/40x^2−37x−63f(x)g(x)=28x2-x-1540x2-37x-63, answer the following question. Question 1: Where are the vertical asymptotes?...
y''+y'=3x solve by method of undetermined coefficients
matrix A (nxn). Prove that the sum of the eigenvalues of a matrix A equals to...
Taylor series f(xi+1)=f(xi)+f'(xi)h+(f''(xi)/2!)h2+(f'''(xi)/3!)h3+..... given f''(xi)=(-f(xi+3)+4f(xi+2)-5f(xi+1)+2f(xi))/h2 derive the second derivative of forward finite difference
prove that a sequence converges if and only if all subsequences converge to the same limit
Find the general solution: y'' - (2t/(1+t^2)) y' + (2/(1+t^2)) y = 1+t^2
Solve the given initial-value problem. y''' + 3y'' − 13y' − 15y = 0, y(0) = y'(0)...
(a) Prove or disprove: Let H and K be two normal subgroups of a group G....
Suppose G is a group such that G= (Z,+). Provide an example of a PROPER subgroup...
Let E and F be two disjoint closed subsets in metric space (X,d). Prove that there...
Consider the vector u1=(2,0,2), u2=(4,1,-1), u3=( 0,1,-5), u4=(3,0,2) a) Find the dimension and a basis for...
Decide whether the following set of vectors are linearly independent or dependent. Justify the answer! a)...
Differential Equations Use principle of superposition to find a particular solution x^2y''- xy+y =2x^3
Use Laplace transforms to solve 3y ′′ − 48y = δ(t − 2), y(0) = 1,...
Show that S n is isomorphic to a subgroup of A n + 2.
Laplace transform,using shift on t-axis theorem of (t-2a)* u(t-a)
Given a function f:R→R and real numbers a and L, we say that the limit of...
Find all Pythagorean triples (not necessarily primitive) in which 25 is one of the numbers and...
uppose a is a simple root of the polynomial f(x) and g(x) is another polynomial of...
At the instant the displacement of a 2.00 kg object relative to the origin is =...
Let G1 and G2 be groups. Prove that G1 × G2 is isomorphic to G2 ×...
Using Discrete Math Let ρ be the relation on the set of natural numbers N given...
In unit-vector notation, what is the torque about the origin on a jar of jalapeno peppers...
y'=2+t^2+y^2 0<t<1 y(0)=0 evaluate the step size for the Euler method to have an error less...
If X⊂R and S is the collection of all sets relatively open in X, then (X,S)...
Answer the following T for True and F for False: __ A vector space must have...
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