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Let p and q be primes. Prove that pq + 1 is a square if and...
(abstract algebra) Show that if n is any integer, then (a + nb, b) = (a,...
Prove directly from the definition of the limit (b) lim (n−2)/(n+12)=1 c) lim n√8 = 1....
In a class of 25 student, 17 passed history, 13 passed math, and 8 passed chemistry....
Determine the set Z(GL(2,R)) explicitly. Prove your assertion!
Let d1= gcd(a,b) and d2=gcd(b,r). Prove that d1=d2 by d2<= d1 and d1<=d2
Let s1 := 1 and Sn+1 := 1 + 1/sN n element N Show that (Sn)...
Find the number of solutions to x1+x2+x3+x4=16 with integers x1 ,x2, x3, x4 satisfying (a) xj ≥...
An equiangular quadrilateral is a square. Sometimes, always, or never. Explain your answer.
15.) a) Show that the real numbers between 0 and 1 have the same cardinality as...
1. A function + : S × S → S for a set S is said...
If 1500 ml of blood flow through the liver each minute, how many liters flow each...
On average, every minute of every day, 138 babies are born. The bar graph represents the...
Consider the group (Z13 − {0}, ·13). (Use MS Excel to construct the multiplication chart.) Let...
Write a proof for the statement below by proving the contrapositive. If x,y have the same...
For an abelian group G, let tG = {x E G: x has finite order} denote...
Let p be an prime. Use the action of G = GL2(Z/pZ) on (Z/pZ)2 and the...
A population of bees is given by P(t) = 20 ∗ et/100∗ cos(t2/1000) + 60, 0...
Prove that hypercubes Q_n are Hamiltonian.
1) Find the sum S of the series where S = Σ i ai -- here...
Please give examples of matrices which (1) is an augmented matrix of a linear system which...
Prove the Inner Product properties. *Please use your vectors as x,y,z*
1. The transportation problem done in class is to find how many generators should be shipped...
Please give examples of linear systems which (1) has 4 variables and 2 equations. (2) has...
Prove that hypercubes Q_n are bipartite.
Use inductive reasoning to conjecture the rule that relates the number you selected to the final...
List the key assumptions that underlie both the Marginal structural models and the Structural nested means...
show that if A is an ordered integral domain, then max A and min A do...
You may have noticed that the general logarithmic function has restrictions on the value of b,...
Here is a portion of the csv to long to post it all... Name Gender SSN...
Please give examples of matrices which (1) is of size 2 × 4, in row echelon...
USING ITERATED INTEGRALS, find the area bounded by the circle x^2 + y^2 = 25, a.)...
How many ternary strings of length 8 begin with 01 or end with 1? (A ternary...
Prove that if n is a positive integer greater than 1, then n! + 1 is...
2n2 what is this equal to ?
Find all primes p such that p | (a^37−a) for all a ∈N. Multiply those primes...
Let G be a group and D = {(x, x) | x ∈ G}. (a) Prove...
Determine whether the following matrix is diagonalizable. A=[ 1 0 1 0 1 0 -1 0...
What will the profit be if they sell 2,000 units at $349 retail price? And what...
prouve that let H normal subgroup of G and (|G:H|,|H|)=1 H hall subgroup then H characterstic...
Fitzgerald Marine Reserve is a great place to go tidepooling, if you go near low tide....
Please give examples of four row equivalent matrices which are all in row echelon forms (not...
Solve the initial value problem: 9y′′−18y′+15y=09y″−18y′+15y=0, y(π/3)=2y(π/3)=2, y′(π/3)=1.y′(π/3)=1.Give your answer as y=... y=... . Use xx...
1. If x1(t) and x2(t) are solutions to the differential equation x" + bx' + cx...
Show that if p is a positive integer such that both p and p2 + 2...
You are given the task of buying phones for your friends. There are three brands to...
Discuss the advantages of using floating-point number systems over fixed-point number systems. This is for a...
Solve the following LP model using the dual simplex method. Use the format of the tabular...
a) Prove: If n is the square of some integer, then n /≡ 3 (mod 4)....
Let (x_n) from(n = 1 to ∞) be a sequence in R. Show that x ∈...
Solve x2+5x+24 ≅ 0 (mod36)
Solve the initial value problem: y′′−2y′+11y=0y″−2y′+11y=0, y(0)=3y(0)=3, y′(0)=−3.y′(0)=−3.Give your answer as y=... y=... . Use xx...
Find all solutions to each congruence. (a) 2x − 3 ≡ 2 (mod 7) (b) 3x...
Show that for all positive integers n ∑(from i=0 to n) 2^i=2^(n+1)−1 please use induction only
Sam was 28 inches tall on her first birthday, 50 inches tall on her 8th, and...
Abby wants to create a bouquet of flowers consisting of 7 flowers. I have 10 roses,...
An urn contains 10 numbered balls, of which 6 are red and 4 are white. A...
Use the method of undetirmined coefficients to find the general solution of the differential equation y''+4y'-5y...
1. Prove: A constant rate of simple interest results in an effective rate of interest that...
temperature, in degrees Celsius.† Temperature Speed 25.6 2.62 27.5 3.03 30.3 3.57 30.4 3.56 32.2 4.03...
Use proof by contradiction to prove that if T is a tree, then every edge of...
is there a list of common equations for phase diagrams? E.g. how do I know that...
Find the general solution of the following differential equations. Primes denote derivates with respect to x....
Suppose there is a bag containing 15 pink marbles (Upper P), 15 green marbles (Upper G),...
Let S be a finite set and let P(S) denote the set of all subsets of...
Calculate the new price of bond at the new YTM of 2%, 4%, 6%, 8%, and...
Without looking for the solutions in a power series around Xo given, determine the radius of...
Let a1 = [ 7 2 -1 ] a2 =[ -1 2 3 ] a3= [...
Apply the Partial Fraction Expansion to determine the time response y(t) of the system with transfer...
Let Zn = {0, 1, 2, . . . , n − 1}, let · represent...
We showed that if g(x) ∈ C1[a,b], g(x) ∈ [a,b] for all x ∈ [a,b], and...
Use Newton's method to find the number arcsin(1/3) rounded to 14 digits after the decimal point by...
1. Suppose we have the following relation defined on Z. We say that a ∼ b...
(1 point) A tank contains 2780 L of pure water. Solution that contains 0.01 kg of...
(1 point) A thermometer is taken from a room where the temperature is 20oC to the...
Graph the equations in the given system. Then explain why the graphs show that the system...
Find the general solution of the equation: y''+6y'+9y=0 where y(1)=3 y' (1)=-2 and then find the...
shen is ordering an ice cream dessert. he must order a size, a flavor of ice...
20. y(x) = x + C sin x, y′′ + y = x, C =constant
A 2kg mass is attached to a spring with stiffness k = 8π2N/m. The mass is...
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