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Use the Euclidean Algorithm to find the smallest nonnegative integer x, s.t. there exists integers k_1,...
if you are given a finite set V and a nonnegative integer for each element in...
(4.5*(3+2h)^(1/3) - 4.5*(3)^(1/3))/h, as h tends to 0 please simplify this
NOTE- If it is true, you need to prove it and If it is false, give...
Suppose a cup of coffee is at 100 degrees Celsius at time t=0, it is at...
a mass-spring system is driven by a constant external 16. the mall equals 1, the spring...
Calculate the partial derivatives ∂U/∂T and ∂T/∂U using implicit differentiation of (TU−V)2ln(W−UV)=ln(5) at (T,U,V,W)=(4,1,5,10).
on feburary 1st Spencer took out a loan for $3,700 at 3.5% annual interest. the loan...
If {sn} is a sequence of positive numbers converging to a positive number L, show that...
find the solutions to z^2 =3-4i
Find the smallest positive integer n for which n2 + n + 17 is composite.
Prove that if A is a subset of X, then a) A ∩ (X − A)...
Find the Laplace transform of f(t)=sinh(at) f(t)=u(sub2)(t)t+1) f(t)=t^2δ(t-3)
Formal Proof: Let p be a prime and let a be an integer. Assume p ∤...
true/false : if a system of linear equations has a 3x5 augmented matrix whose fifth column...
A person has borrowed certain amount (say, X) with interest rate r and has to pay...
The table gives heavy – metal nuclear waste (in thousands of metric tons) from spent reactor...
Solve for y(t) for y'+2/(120+3t)y=15 when y(0)=0
It can be proved that the union of two subspaces of a vector space is a...
A grocery store is running a promotion that you will get one card from 6 different...
If X and Y are discrete topological spaces, how do I prove X x Y is...
Let G be a simple planar graph with fewer than 12 vertices. a) Prove that m...
Suppose that, in some vector space V , a vector u ∈V has the property that...
(caculus 3 Find the distance from the point P ( 5, 0, 6 ) to the...
Let P(z)=A(z-z_0)(z-z_1). Show that P'(z)/P(z)=1/(z-z_0)+1/(z-z_1)
Match each equation with its name. (calculus 3) (x/7)^2-(y/9)^2=z/4 (x/7)^2-y/9+(z/4)^2=0 −x/7+(y/9)^2+(z/4)^2=0 (x/7)^2+(y/9)^2=(z/4)^2 (x/7)^2+(y/7)^2+(z/7)^2=1 Hyperbolic paraboloid Elliptic...
Prove that for fixed positive integers k and n, the number of partitions of n is...
Prove by induction that k ^(2) − 1 is divisible by 8 for every positive odd...
Let f(x, y) = x2y4. At the point (−2, 1), find the following vectors. (a) in...
Let (X,d) be a complete metric space, and T a d-contraction on X, i.e., T: X...
Are the statement forms P∨((Q∧R)∨ S) and ¬((¬ P)∧(¬(Q∧ R)∧ (¬ S))) logically equivalent? I found...
using “MATLAB or MAPLE ”plot the solution for the first 10 seconds. y”+4y’+4y=4cos(3t)
Discrete Mathematics (a) Consider the following argument: All honest people pay their taxes.  
On question 23 of 4.1.2 problems from 11th edition of A First Course in Differential Equations...
Given a LP model as:Minimize Z = 2X1+ 4X2+ 6X3 Subject to: X1+2X2+ X3≥2 X1–X3≥1 X2+X3=...
Use a series centered at x0=0 to find the general solution of y"+x^2y'-2y=0. Use a series...
Graph Theory Prove that if G is a graph with x(G-v-w)=x(G)-2 for every pair of vertices...
Bonus Question. Give a complete proof in paragraph form. Any incorrect use of terms or symbols...
Please answer the following and show work. A couple has decided to purchase a $250,000 house...
.Prove that for all integers n > 4, if n is a perfect square, then n−1...
Find solutions for each of the linear systems, using determinants (not Gauss Elimination). You may use...
In the following ordinary annuity, the interest is compounded with each payment, and the payment is...
Suppose that f(x)=ax^3+bx^2+cx+d cubic polynomial.. Show that f(x) and k(x)=f(x-2) have the same number of roots.(without...
the triangles A_1, B_1, C_1 & A_2, B_2, C_2 & A_3, B_3, C_3 have their corresponding...
why is it that when findinf the basis for a set of vectors you row reduce...
Prove by contradiction: Let a and b be integers. Show that if is odd, then a...
A second order homogeneous linear differential equation has odd-even parity. Prove that if one of its...
How many different ways to distribute 12 strawberries, 7 oranges, and 6 bananas among five people...
How can I proof that a closed compact subset of R^n does ot have measure zero....
The Kalo Fertilizer Company makes a fertilizer using two chemicals that provide nitrogen, phosphate, and potassium....
Find the general equation of the plane containing both point (-4,4,-7) and the line of intersection...
Let A, B, C be sets and let f : A → B and g :...
Analyze the space and time complexity for the linear bounded automaton that accepted the set of...
Find a vector equation and parametric equations for the line. -The line that passes through the...
3. Transform each informal argument into a formalized wff. Then give a formal proof of the...
For questions 11-13, enter your answer (a number). Use dot (.) to separate decimal places (e.g....
solve the IVP for dy/dx+(1/x)*y=17y^4, initial condition y (1) = 1 y(x)= please break it down...
1. A) Show that the set of all m by n matrices of integers is countable...
Find the runtime complexity for the function defined recursively by T(n) = 2T(squareroot(n) + lg n
(1 point) Rework problem 22 from section 2.4 of your text, involving the assignment of tasks...
Six data sets are presented, some of them are samples from a normal distribution, and some...
Let f(n) be a negligible function and k a positive integer. Prove the following: (a) f(√n)...
Solve the Initial Value Problem (y2 cos(x) − 3x2y − 2x) dx + (2y sin(x) −...
The daily rate of chqnge of the number of pokemon in brentwood is proportional to the...
Recall from your homework last week that the lowest-mass stars are called "M-dwarfs", which have masses...
Let F be a field, and let f (x), g(x) ∈ F [x] be nonzero polynomials....
Determine whether the given differential equation is exact. If it is exact, solve it. (If it...
Do the odd permutations of Sn form a subgroup of Sn? If so, provide a proof....
Can someone please explain how to get the answer for this discrete math problem Hillary, Aly,...
Using field and order axioms prove the following theorems: (i) Let x, y, and z be...
i recieved 50 grams of an unknown radioactive isotope. 30 days after recieving it there are...
let H be a subgroup of R. Assume ∃ ε ∈ R ε>0 such that (-ε...
Please show all work. A spring has natural frequency w=2. An external force f(t)=3cos(2t) is applied...
Prove that the set V of all polynomials of degree ≤ n including the zero polynomial...
Express the range of each function using roster notation. Let A = {1, 2, 3}. f:...
Suppose suppose a car has 17 inch rim , and the center of rotation of the...
Let P(R) denote the family of all polynomials (in a single variable x) with real coefficients....
Compute the order of SL2(Zp) and explain why
Give an example to show that the curvature k(t) of a regular curve might not be...
prove that wheel graph Wn is hamiltonian for n>4
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