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2. Let A = {p, q, r, s}, B = {k, l, m, n}, and C...
Given that, for some a, b, c, d, e, f, g, h, i ∈ R, [a...
using the change of variable x =u/v, y=v evaluate "double integral(x^2+2y^2)dxdy: R is the region in...
Find the communicating classes of following transition probability matrices: 1. 0.5 0.5 0 0 0 0.5...
The table on the right shows the calories, sodium, and protein in one cup of various...
How many possible perfect matchings are possible on an acyclic graph? Justify your answer.
Prove: If (a, a+1, a+2) is a Pythagorean triple, then a= 3
Find a sequence of positive Lebesgue integrable functions on [0,1] which do not converge pointwise (it...
y''(t) + 2y'(t) + 3y(t) = 1 y(0) = 1 y'(0) = -1 a)homogenous solution? b)particular...
Let n be a positive integer and let U be a finite subset of Mn×n(C) which...
Prove there exists an onto (and 1-1) mapping from Cantor Set to [0,1].
prove: Let the real number x have a Base 3 representation of: x = 0.x0x1x2x3x4x5x6x7… where...
Suppose d and d 0 are both metrics on X and that the metric spaces (X,...
Discuss taxable benefits (with examples) * its a taxation question
Question 1: In the normal error simple linear regression model, suppose all assumptions hold except constancy...
Find the first five nonzero terms in the solution of the given initial value problem. y′′−xy′−y=0,...
Air is compressed by a 46-kW compressor from P1 to P2. The air temperature is maintained...
Argon gas enters an adiabatic turbine at 800°C and 1.5 MPa at a rate of 80...
(§2.1) Let a,b,p,n ∈Z with n > 1. (a) Prove or disprove: If ab ≡ 0...
8. (a) Determine (1 + 3)/( 5 + 7) , (1 + 3 + 5 )/(7...
10. A patient holds her elbow partially flexed under isometric conditions against a cable that transmits...
Residents of the town of Smallville are quick to judge each other: once they have met,...
A medical technician uses a pair of four inch long tweezers to remove a wood sliver...
Prove 4-C Theorem for a planar graph with no 3-cycles.
State Newton’s method for solving nonlinear equations. Show how to use a Taylor’s series to derive...
Anita, Louise, and Mary have just graduated from college and have started their first jobs. They...
Let B be a (finite) basis for a vector space V. Suppose that v is a...
Using the Taylor series of e^x about x = 3, find the first three terms of...
use the method of undetermined coefficients to find one solution of y"-2y'-y=8e^(4t)
For f(x) = 3 + 7x − 19x^2 + 2x^4, use complete Horner’s algorithm to find...
Given that xn is a sequence of real numbers. If (xn) is a convergent sequence prove...
2. Sequence Convergence¶ (To be answered in LaTex) Show that the following sequence limits using either...
An annuity-immediate has 20 annual payments starting at 5 and increasing by 10 every year. The...
EvaluateZZS xdydz + ydzdx + zdxdy, where S is the part of the paraboloidz = x2...
Samsung will produce 750 cell phones per month if the price is $60. If the price...
Investment Risk & Return – A private investment club has a fund of 200,000 to invest...
Find the Sylow 3-subgroup and the Sylow 2-subgroup of G = Z24.
Problem 6: Let K be a proper subgroup of H, and H a proper subgroup of...
Drive expressions for the vector operators of gradient, divergence, curl, and Laplacian in cylindrical and spherical...
An actor invests some money at 99%, and $4200042000 more than four timesfour times the amount...
Suppose that we generate a random graph G = (V, E) on the vertex set V...
Prove that if x ≤ 1 + 2/x , then x ≤ 3.
Prove or disprove: If A and B are subsets of a universal set U such that...
You have a horse that needs to be fed a diet that consists of 78% hay...
Use the definition of the sine function to verify a) sin(Z+pi) = -sinz b) sin(Z+2pi) =...
Consider the curve given by the equation sin(?−?)=2?+?sin(x−y)=2x+y. The equation defines ?y as a function ?(?)y(x)...
Solve the given initial-value problem. y'' + 5y' − 6y = 12e2x, y(0) = 1, y'(0) =...
What are the equations of the lines that pass through the point P(-3,-2) and that touch...
What are the equations of the lines that pass through the point P(-3,-2) and the circle...
Prove that there is a positive real number x such that x2 - 2 = 0....
True or False: Any finite set of real numbers is complete. Either prove or provide a...
Solve y’’ – 11y’ + 24y = ex +3x using: Reduction of order V.C superposition Variation...
Find an equation for the plane passing through the point (4,−2,−1) that is perpendicular to the...
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
Use Laplace transforms to solve the given initial value problem. y"-2y'+5y=1+t y(0)=0 y’(0)=4
Find the area of the triangle with vertices 0 = (0,0,0), P= (5,3,0) and Q =...
A 5-kg mass is attached to a spring with stiffness 225 N/m. The damping constant for...
Anyone have any skills with Mathematica? If not, show how you'd solve it normally, maybe that...
Find the formal Fourier series solutions of the endpoint value problem. x′′+6x = t, x′(0) =...
mr peterson gets 14 indistiguiable fone calls each week, the calls fall randomly on the seven...
Assume a, b ∈ Z and p is prime. Using B´ezout’s identity, prove that if p...
In Metric Spaces, prove d(f,g)=d(g,f)
Prove or disprove the following statements. a) ∀a, b ∈ N, if ∃x, y ∈ Z...
A tangent to a circle at the point (5,5) passes through the origin. The line with...
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 n=3 what is...
Solve this Initial Value Problem using the Laplace transform. x''(t) - 9 x(t) = cos(2t), x(0)...
Let S = {?2, (? − 1)2, (? − 2)2 } A) Show that S forms...
Consider the differential equation u ′′ + bu = sin^2 (2t). (a) For what value of...
Consider the forced spring-mass system: d^2x/dt^2 + ω^2 x = A sin (ωt) (3) where in...
Assume that a and b are two continuous injective maps with a(0)=(-1,0), a(1)=(1,0), b(0)=(0,-1) and b(1)=(0,1)....
Rewrite the statement “a real number x is not the limit of a sequence of real...
Identify the surface with parametrization x = 3 cos θ sin φ, y = 3 sin...
you are ordering a new home theater system that consists of a TV, surround sound system,...
Assume set A={z1,z2,....,zm) is a m-point set in C. If f(z) is analytic and bounded on...
Given f(1) = −2, f ′ (1) = −1, f(3) = 4, and f ′ (3)...
Suppose that G is a graph and a and b are vertices in G such that...
Solve a) dx/dt = 3xt^2 b) dx/dt + x^2= x c) y’=x^3(1-y)
The Food Co-op Club boasts that it has 4,700 members and a 185% increase in sales....
4. Is complete metric space always compact? Answer the question by considering the real line R....
Creating a 6x8 matrix with rank 2 In general, rank(AB) <= min(rank(A), rank(B)). If A and...
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