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18x+5y=48 find all integer solutions
Show, using m.g.f.’s that if ?1~Exp(?), ?2~Exp(?) and ?1 ⊥ ?2 ,then (?1 + ?2 )~Gamma...
find the derivative of the function f at the given point P in the given direction...
Show that symmetric sentences are independent from reflexive, and transitive sentences by constructing a structure that...
Solve the DE: x^2y''-(x^2+2x)y^2+(x+2)y=0, x > 0 if you know that y=x is a solution of...
Show that the following pairs of formulas are not equivalent by constructing structures that satisfy one...
Let a, b, and c be the last three digits of your student ID. Find the...
Solve the initial value problem: y′′ − y = t + sint , y(0) = 2...
Suppose f: R^2--->R is defined by f(x,y) = 3y. Is f one-to-one? Is f onto? Is...
Use false-position method to determine the drage coefficient needed so that an 80-kg bungee jumper has...
Sketch the slope field for y′ = y − t 2 as well as solutions that...
Show that reflexive sentences are independent from symmetric, and transitive sentences by constructing a structure that...
1. V is a subspace of inner-product space R3, generated by vector u =[2 2 1]T...
Let V be a finite-dimensional vector space and let T be a linear map in L(V,...
Let W be the subset of R^R consisting of all functions of the form x ?→a...
1)Translate all the definitions needed to derive the conclusion into propositional formulas (i.e., premises) 2)Derive your...
Let A⊆R be a nonempty set, which is bounded above. Let B={a-5:a∈ A}. Prove that sup(B)=sup(A)-5
Consider the generic homogeneous spring-mass system my″+γy′+ky=0my″+γy′+ky=0 Use either Euler’s Method or ode45 to investigate how...
Consider function f (n) = 4n^2 + 8n + 329. 1. prove that f(n) = Ω(n)...
Humans carry two copies of genes, namely XX and YY. In terms of offspring genotype, the...
Find the value of α so that the vectors a=(7,−10,5), b=(7,−5,−1), and c=(α,10,−40) are coplanar. Please...
The US has nuclear power plants running at nearly full capacity. The output (as a %...
There 8 fire stations that need new chiefs and 13 qualified candidates. In how many different...
We have been given the labor hour history below. You have been asked to calculate a...
A supplier of lawn products has 3 types of grass fertilizer, G1, G2, and G3, having...
find instantaneous rate of chnage fke the followng functuons. x=a choose any value for a and...
Given that A and B are n × n matrices and T is a linear transformation....
The following data is given: August trend forecast = 600 units Actual sales in August &nb
For vector function V = 4xi + 4yj calculate both sides of divergence theory, for a...
Prove that for all sets A, B, and C, A × (B ∩ C) = (A...
For any subset S ⊂ V show that span(S) is the smallest subspace of V containing...
Use mathematical concepts to explain the differences between ordinary differential equations and partial differential equations.\ When...
Let a, b and c be real numbers with a does not equal to 0 and...
1. Find the area of the region between the curves y = x - 1 and...
What is the result as well as its most simple version of the arithmetic average calculation...
List the elements of the set below {X ∈ P(N) : X ∩ {1, 2} =...
Let T(n) = 1 + 2 + ... + n be the n-th triangular number. For...
Consider the following sets of sample data: A: 4.754.75, 3.763.76, 3.533.53, 3.703.70, 3.083.08, 4.184.18, 4.594.59, 4.064.06,...
Two large containers A and B of the same size are filled with different fluids. The...
(a) Separate the following partial differential equation into two ordinary differential equations: Utt + 4Utx −...
Find the shortest distance from the point P = (−1, 2, 3) to the line of...
Show that any composite of translations, rotations and dilatations of the plane is a function of...
Part One: Given: 54.23 x 18.2 = 986.986 Provide a convincing proof that the decimal is...
Find the Fourier transform of ?(?) = { 5? 2 , ?? |?| < ? 0,...
Find the general form of all solutions (if there are any) for the following equations. (a)...
Suppose that x = Verticle matrix of (1, x2, x3) where x3 = α1 + α2x2....
A repairman is called to fix a broken pipe. He is paid $47, plus $1 per...
Evaluate: P(3,3) and at the same time enumerate the corresponding permutations of the objects from the...
Prove the summation by induction Σ i*2i (from i=1 to n ) = 1 * 21...
You have just received $175,000 from the estate of a long-lost rich uncle. If you invest...
a group of 12 friends want to see a movie, only 7 seats are available for...
Let A, B, C be sets. Prove that (A \ B) \ C = (A \...
Suppose f : R^2 rightarrow R^2 is defined by f(x1,x2) = (-2x2,x1). a) is f one-to-one?...
Consider permutations of the 26-character lowercase alphabet Σ={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}. In how many of these permutations do a,b,c...
A cold drink initially at 40 degreesF warms up to 44degreesF in 3 min while sitting...
Give the principal branch of √1 − z.
1. Check if each of the following ODEs is an exact. If it is not an...
Prove that the number χ(G, n) of valid n-colorings of a multigraphs satisfies the formula χ(G,...
Prove that if p1, p2 are any two distinct primes and a1, a2 are any two...
Suppose that V is finite-dimensional, U ⊂ V is a subspace, and S : U →...
Let w be a non-real complex number. Show that every complex number z can be written...
. Let C be the curve x2+y2=1 lying in the plane z = 1. Let ?=(?−?)?̂+??...
Consider the following scenario: A man has $4.55 in change composed entirely of dimes and quarters....
Using the method of induction proof, prove: If m and n are natural numbers, then so...
Prove the following statement. Whenever the ratio test shows convergence, the root test does too; whenever...
Use undetermined coefficients to find the particular solution to y''−9y'+20y=−3936sin(4t)y′′-9y′+20y=-3936sin(4t)
The simplest model of an atomic nucleus is a solid ball of radius "a" having uniform...
For each equation, write a brief program to compute and print eight steps of Newton's method...
. A new chemotherapy drug is released to treat leukemia and researchers suspect that the drug...
Prove that the square root of 17 is irrational. Subsequently, prove that n times the square...
Karim deposits $100 every two years for 40 years into an account that earns an effective...
3. Consider the statement ∀x ∈ Z ∃y ∈ Z : (x 6= y) ∧ (x|y)....
a) Find the steady-state vector for the transition matrix. .8 1 .2 0 x= ______ __________...
r(t)=[cos(t),sin(t),cos(3t)] r(t)=[tcos(t),tsin(t),t) r(t)=[cos(t),sin(t),t2] r(t)=[t2cos(t),t2sin(t),t] r(t)=[cos(t),t,sin(t)] Sketch the graphs.
6. (a) Prove by contrapositive: If the product of two natural numbers is greater than 100,...
the following question is for maths modeling consider the value of savings account initially worth R2500...
Let U={1,2, 3, ...,3200}. Let S be the subset of the numbers in U that are...
Let x,y,zx,y,z be (non-zero) vectors and suppose w=10x+10y−4zw=10x+10y−4z. If z=2x+2yz=2x+2y, then w=w= x+x+ yy. Using the calculation...
Find the particular solution to y''−4y'+3y=2ety′′-4y′+3y=2e^t
For any prime number p use Lagrange's theorem to show that every group of order p...
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