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find the laplace transform of the funtions below a. f(x)= cos3x b.f(x)=xe^bx, where b denotes a...
If we take Corona deaths in country as a dependent variable (Y), then ( think for...
A cake is taken out of the oven at a temperature of 293°F, Six minutes later...
Given the IVP x * sqrt(x+1) * y'''-y'+xy=0 when y(1/2)=y'(1/2)=-1 , and y''(1/2)=1 determine the larest...
Your company manufactures two models of speakers, the Ultra Mini and the Big Stack. Demand for...
describe all the ring homomorphism from the the ring ZxZ to Z?
Water is boiled and is put to cool. The temperature of the air in the room...
Raul Fletes borrowed $10,000 on a 300-day note that required ordinary interest at 12.51%. Raul paid...
The table to the right shows the relative frequencies of the scores of a group of...
3 Let A = [0, 1) and B = (0, 1). Give an example to a...
Q1. In a group of 40 children, 12 have blonde hair, 13 have brown eyes, and...
explain the concept of finding the Augmented Matrix. along with an example so I can clearly...
Solve: 1.dy/dx=(e^(y-x)).secy.(1+x^2),y(0)=0. 2.dy/dx=(1-x-y)/(x+y),y(0)=2 .
Let x be an integer bigger than 4. Prove that x is prime if and only...
Determine the number of distinct colorings of the four faces of the tetrahedron, where each face...
Find general solutions of the following systems using variation of parameters. X ′ =(2x2 matrix) (...
A spring is attached 6 in by a mass that weighs 8 lb. The mass is...
Whether the products of two functions(f(x)+g(x)); f(x)g(x)) are odd or even if the two functions are...
Find y as a function of t if 9y″−18y′−55y=0, y(3)=5,y′(3)=5.
1) Draw a Cayley digraph for S3. Hint: what is a set of generators? 2) The...
Use Definition 4.2.1 to supply a proper proof for the following limit statements. (a) lim as...
i) Assume first that a, b, c > 0. If |x-a| < δ, find an upper...
Solve the 2nd Order Differential Equation using METHOD OF REDUCTION Please don't skip steps! (x-1)y"-xy'+y=0 x>1...
Using the daylight factor method, compute the interior illumination level at the centre of the room...
Prove: Let S be a bounded set of real numbers and let a > 0. Define...
Let G be a digraph with 2 or more vertices which is strongly connected and in...
A binary tree isfullif every non-leaf node has exactly two children. For context, recallthat we saw...
Let a, c be positive constants and assume that a/ 2πc is a positive integer. Consider...
y" +2y' +y = 6 sin t - 4cost, y(0) = -1, y(0) = 1
Question 1: Is there a vector space that can not be an inner product space? Justify your...
What is the problem with the definition below? Let the degree of an element x in...
his is a multi-part question. Once an answer is submitted, you will be unable to return...
For three consecutive years, the cost of gasoline increased by 9 9%, 14 14%, and 20...
Suppose every interior angle in a regular polygon is approximately 152.31 ∘ . What kind of...
Billy takes out a $2,400 discounted loan using a simple interest rate of 8% for a...
4) Suppose that Archimedes was feeling very lazy the day he approximated the value of π....
How do I express this recursive function? an = 10n I have found some of the...
Let S_n be the collection of permutations on {1,2,...,n}. Consider the cycle s=(1,2,...,n) and consider the...
Use a truth table to determine whether the following argument is valid. p →q ∨ ∼r...
engineering mathematics solve (x3D3+19x2D2+72xD-72I)y=0
If V is a vector space of polynomials of degree n with real numbers as coefficients,...
Wildhorse Potions, Inc., a pharmaceutical company, bought a machine at a cost of $2 million five...
Management of Ivanhoe Home Furnishings is considering acquiring a new machine that can create customized window...
Graph and analyse: y=log3x ----->y=2log3(x-1)
The desired distance for Flextronchip customers is 0.7 mm between two adjacent pins. Any deviation from...
Compute the variance of the PDF f(x)= 64xe^(-8x). if x > 0 and 0 elsewhere
Consider the initial value problem y′ = (1+t)/(1+y) y(1) = 2 t is within [1,2] Show...
OM 540: Supply Chain Management Assignment 6: Inventory and Risk Pooling &
Give an example of a nondiagonal 2x2 matrix that is diagonalizable but not invertible. Show that...
Let R be an integral domain. Prove that if R is a field to begin with,...
Let R be a ring. Show that the set Aut(R) = {φ : R → R|φ...
n x n matrix A, where n >= 3. Select 3 statements from the invertible matrix...
Show that R' is connected
Let W be the region above the sphere x2 + y2 + z2 = 6 and...
Use the ε − δ definition to show that limz→1 z+1/z−i = 2/1−i .
Prove: If x is a sequence of real numbers that converges to L, then any subsequence...
prove that G^(i) is a characteristic subgroup of G for all i
Exponential Functions Question 18 Please answer a-b a) A vehicle purchased for $27,500 depreciates at a...
use Euler's totient and prime factorization. a) how many integers between 1 and 2000 inclusive are...
Let A= [ 2 4 ] and b= [ 2 ] [ 8 17 ]. [...
Find all homomorphisms f: Z6 --> Z8
Partial Differential Equation Problem: Find the general solution u(x, y) of: uxy = x2y. Show your...
Given X is a p-variate random vector with mean vector μ and covariance matrix Σ. Write...
When interest is compounded continuously, the amount of money increases at a rate proportional to the...
A pulley that measures 15 in. across (diameter( turns at 1,150 rpm and rivers pulley at...
Can someone explain linear transformations which rotates vectors by certain degrees? Examples: R^3--> R^3: A linear...
Consider the ring R = Q[x]/<x^2>. (a) Is R an integral domain? Justify your answer. (b)...
Find the set of complex numbers z satisfying the two conditions: Re((z+1)^2)=0 and Im((z−1)^2)=2. Here Re(a...
A series circuit has a capacitor of 10−5 F, a resistor of 3 × 102 Ω,...
John makes annual deposits of $1400 to an an IRA earning 10% compounded annually for 18...
Solve the initial value problem using the method of the laplace transform. y"+4y'+4y=8t,y(0)=-4,y'(0)=4
Suppose you have a student loan of $40,000 with an APR of 9% for 30 years....
If I prove Det(A)Det(B) = Det(AB) for matrices A and B when A and B are...
Given Eigenvalue 3, -2. Respective Eigenvector V1 = [1 1], V2= [1 -1]. Find the matrix...
Find an appropriate integrating factor that will convert the given not exact differential equation cos ...
Give an example or explain why the request is impossible. A function f(x) that is continuous...
Consider the relation R defined on the real line R, and defined as follows: x ∼...
Reflect on the concept of function. What concepts (only the names) did you need to accommodate...
Explain how Taylor series are used to estimate truncation error.
Remember that the DOMAIN is INTEGERS (....,-2,-1,0,1,2,3,4.......) and the TARGET is POSITIVE INTEGERS (1,2,3,4,.....) . Give...
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