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consider the following mode for simple harmonic motion in a mass spring sysyem 4x"(t)+12x(t)=0 x(0)=1 x'(0)=1...
In Exercises 11–15 find a power series solution to (1+2x^2)y''+(2-3x)y'+4y
Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in...
Let H <| G. If H is abelian and G/H is also abelian, prove or disprove...
Let G be a finite group and let H, K be normal subgroups of G. If...
You wish to take out $375,000 mortgage. The yearly interest rate on the loan is 3%...
Apply the Gram-Schmidt orthonormalization process to transform the given basis for ℝ4 into an orthonormal basis....
Prove: If the sides of a right triangle have integer lengths and the area of the...
1105 = 5 × 13 × 17. Find three different ways of writing 1105 as the...
Prove: If (a,b,c) is a primitive Pythagorean triple, then either a or b is divisible by...
Discuss the properties of polynomials
A businesswoman wants to invest a certain sum of money at the end of each year...
y'+(x+1)y=e^(x^2)*y^3,y(0)=0.25
Let W be the subspace of R4 spanned by the vectors a = 3e1 − 4e2...
Find the Möbius transformation that falls on the right half plane of the disk "| ?...
A simple random sample of 55 adults’ measurements of their red blood cell count (in cells...
1) if 3200 is invested for 6 years at 8% compunded quarterly, how much will be...
Let a and b be vectors. Show that (a.b) = 1/4 (||a +b||^2 − ||a −b||^2...
Prove that {5k | k ∈ Z} ∩ {7l | l ∈ Z} = {35m |...
1. Prove that every quadratic polynomial has two complex solutions 2.Use properties of addition and multiplication...
suppose A is a 6 x 4 matrix and b is a 4 x 6 matrix....
Use triple integrals to calculate the average value of F(x,y,z) over the given region: F(x,y,z) =...
Paula is considering the purchase of a new car. She has narrowed her search to two...
Given △ABC, extend sides AB and AC to rays AB and AC forming exterior angles. Let...
How to convert Scholes Black equation to heat equation (I need explanation of the method of...
The town recluse has invited you to dinner at his lavish century-old Victorian mansion outside of...
Let T be the half-open interval topology for R, defined in Exercise 4.6. Show that (R,T)...
Let G be a finite group and let H be a subgroup of order n. Suppose...
Discrete Math There are 10 distinct books on a table. 2 are biology books, 2 are...
Calculate integral s FndA for F = [x ^ 2, y ^ 2, z ^ 2],...
Let S denote the set of all possible finite binary strings, i.e. strings of finite length...
Let ~ be an equivalence relation on a given set A. Show [a] = [b] if...
The transport of heat in a rectangular channel 0 ≤ x ≤ 1 is governed by...
Let E be an extension of F, and let S be a subset of E.IfF(S) is...
A forest ranger is watching the progress of a forest fire spreading towards her from the...
Prove or disprove the following statement. If the statement is false give a counterexample: The automorphism...
In Discrete Math, 1. a. There are 689 students, 112 of them have earned at least...
Show that an at the money call option on an underlying asset paying dividends continuously at...
A rich businesswoman wants to bring some her company’s employees to Whistler for a retreat. She...
Prove the following statement: Suppose that p is a prime number and n is a natural...
proof of 'f : R->R is concave if f''(x) <= 0 for all x'
Describe the General Sinusoidal function. When was the term “sinusoid” first used? Sinusoidal functions occur in...
Prove Dirichlet Function is not continuous everywhere using the claims: f is not continuous at c...
In 1970, an average house in Cupertino cost $41,000. If the average house appreciates in value...
Find all ideals in Z24. Which are maximal/prime?
Among a set of 5 black balls and 3 red balls in how many ways can...
There are divisibility tests by 3, 9, and 11 as well as Divisibility tests for 2,...
Find the total area enclosed by the curve y=3x^3 and the line y=4x. Give an exact...
Differential equations Given that x1(t) = cos t is a solution of (sin t)x′′ − 2(cos...
Calculate integral from 0 to ∞ dx/ ((1 + x2) ^2) (by integrating the function 1...
Express (BC)∗ , where B and C are nxn matrices.
0x00000000004010cc <+0>: push %r13 0x00000000004010ce <+2>: push %r12 0x00000000004010d0 <+4>: push %rbp 0x00000000004010d1 <+5>: push %rbx...
draw the solid bounded above z=9/2-x2-y2 and bounded below x+y+z=1. Find the volume of this solid.
We say that a set A is dense in a metric space (M,d) provided A bar...
Evaluate ∫_0,3^2,4▒〖(2y+x^2 )dx+(3x-y)dy along〗 The parabola x=2t, y=t^2 +3 Straight lines from (0,3) to (2,3) A...
X and Y are independent. X is Rayleigh random variable with a parameter 5 and y...
. Let {v1,v2,…,vk} be a dependent system of generators of a vector space V. Prove that...
Suppose we have the following data on scores for two exams: EXAM 1. EXAM 2 ...
Find a solution to this system of congruences: a ≡ 7 mod 12 a ≡ 36...
a) Why is it not possible for a graph to have degree sequence 6, 6, 5,...
Find a recurrence relation for the number of ways to climb n stairs if the person...
Prove the following clearly, neatly and step-by-step: Let X1=1. Define Xn+1 = sqrt(3+Xn). Show that (Xn)...
For the initial value problem • Solve the initial value problem. y' = 1/2−t+2y withy(0)=1
how to prove the Uniqueness of factorization in Euclidean domains
Sketch the central field F = (x /(x2 + y2)1/2)i + (y /(x2 + y2)1/2) j...
Darby is running a flower stand and is selling a single bouquet for $31.50. Her contribution...
Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these...
Suppose that you are a pottery artist and want to create a special color to paint...
Let ?= 2 -4 -2 -4 and let TA:?2×2→?2×2 be the linear transformation defined by ??(?)=...
does there exist a surface x=x(u,v) with E=1, F=0, G=(cos^2)u and e=(cos^2)u, f=0, g=1 ?
Find first three nonzero terms, or as many as exist, in the series expansion about x=0...
Proof by contradiction: Suppose a right triangle has side lengths a, b, c that are natural...
f(x) = square root x from a = 4 to b = 9 (a) Calculate the Riemann sum for...
find the general solution to y"-2y'+y=x-1ex (variation of parameters
Let a, b be an element of the set of integers. Proof by contradiction: If 4...
For which values of n ≥ 3 do these graphs have an Euler cycle? (a) Complete...
Prove that if A is a subgroup of G and B is a subgroup of H,...
following nonlinear system: x' = 2 sin y, y'= x^2 + 2y − 1 find all...
Prove: If p is prime and p ≡ 7 (mod 8), then p | 2(p−1)/2 −...
Advanced Engineering Mathematics (8th Edition) Chapter 17.3, Problem 9P At the problem ( ∂u/∂t = ∂2u/∂x2...
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