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Advanced-Math Questions
Use Euler Method with h = 0.25 to solve the system y” - y’ - 6y...
The folium of descartes is the curve with equation x^3 + y^3 = 3axy where a...
Prove that for any set A, there is an injection f : A → P(A).
Let f (x, y) = 100 sin(π(x−2y))/(1+x^2+y^2) . Find the directional derivative of f 1+x^2+y^2 at...
2 Are those even propositions? Are those propositions? • Today is Monday. • Why does the...
A graphing calculator is recommended. Use Newton's method to find all solutions of the equation correct...
Use Euler’s method with h = π/4 to solve y’ = y cos(x) , y(0) =...
Describe the automorphism group D6 of the hexagon, by listing all the elements it contains. Aut(D6)=?
Solve (In the proof, explain each step explaining why you did that. Explain as if you...
A chain of home health care firms in Louisiana needs to locate a central office from...
Use the Laplace transform to solve: y’’ + 2y’ + y = e^(2t); y(0) = 0,...
solve dy/dx + y/x = 8e-2x
Prove that the map φ : Q( √ 3) → Q( √ 3) given by a...
Check the following formulas for satisfiability using the Horn’s formula satisfiability test. If you verify that...
DISCRETE MATH. If passwords contain letters(lower and upper case), numbers (0-9) and can use these special...
14. Show that if a set E has positive outer measure, then there is a bounded...
5. By using properties of outer measure, prove that the interval [0, 1] is not countable.
Let B be an mxn matrix. Prove c is a non-zero scalar, then dim(rowspace(cB)) = dim(rowspace(B)).
For each of the following sets, determine whether they are countable or uncountable (explain your reasoning)....
Let A be an nxn matrix. Show that if Rank(A) = n, then Ax = b...
Let z0 be a zero of the polynomial P(z)=a0 +a1z+a2z2 +···+anzn of degree n (n ≥...
Find the exact solution of u''-4u=xex , with u(0)=2, u(1)'=1 .
Consider the following functions from ℤ × ℤ → ℤ. Which functions are onto? Justify your...
find a homogeneous de with constant-coefficient whose general solution is y=C1e^x+C2e^2xcos5x+C3sin5x
sketch the slope field and some representative solution curves for the given differential equation y′ =x+y...
Use laplace transform in solving the ff.: After cooking for 45 minutes, when a cake is...
Solve the following initial value problems and determine the intervals in which the solution is defined:...
solve the two person zero sum game with the payoff matrix: -1 -1/2 1/2 1 4/3...
7. Write the class equation for S5 and for A5. Please explain in detail and write...
Recall from class that we defined the set of integers by defining the equivalence relation ∼...
Make a multiplication table (using only exponential forms) to determine if the complex 6th roots of...
Let S1 be the unit circle. Prove that any continuous function f : S1 → S1...
Newton's Law of Cooling tells us that the rate of change of the temperature of an...
A. Water is being pumped into an inverted conical tank at a rate of 10.910.9 cubic...
Solve the second order differential equation y'' + 6y' + 9y = e^(-3t) + t^(3)
Let f : X → Y and suppose that {Ai}i∈I is an indexed collection of subsets...
Varify: If a row is replaced by the Sum of a constant multiple another row and...
At what point do the curves r1 = < t, 3 - t, 16 + t2...
9.3.2 Problem. Let R be a ring and I an ideal of R. Let π :...
solve non-homogeneous de y" - y' - 2y = 6x + 5 -2e^x by finding- the...
(a) Show that H =<(1234)> is a normal subgroup of G=S4 (b) Is the quotient group...
For H,K <= G, suppose |H| = 12 and |K| = 35. Find |H intersect K|....
14-11 Draw a tree diagram to illustrate what the market shares would be next month for...
A corporation creates a sinking fund in order to have $680,000 to replace some machinery in...
Let G and H be groups and f:G--->H be a surjective homomorphism. Let J be a...
please show your work and explain how you did it thank you so much Assume that...
let α,β ∈ Sn show that α^-1 ∘β^-1∘α∘β ∈ A_n
New parents wish to save for their newborn's education and wish to have $52,000 at the...
a tree is a connected graph without cycles. How many non isomorphic trees with 5 vertices...
Let M=[[116,−48],[−48,44]]. Notice that 20 is an eigenvalue of M. Let U be an orthogonal matrix...
1. Let x be a real number, and x > 1. Prove 1 < sqrt(x) and...
. How many shortest lattice paths from (1, 1) to (8, 9) that do not pass...
Prove that the quotient group GLn(R)/SLn(R) is isomorphic to the group R∗ (under multiplication).
what is the coeffficient of x^6 in the expansion of (x+2)^10 + x^3(x+2)^5
1. Analyze and interpret graphs 2. Graph linear equations, inequalities and functions using a variety of...
find the homogenous solution y''-y'-20y=0
Prove the following theorem: Theorem. Let a ∈ R and let f be a function defined...
For any continuous function f: [-1,1] ->R shows that the integral from -1 to 1 of...
note that D4xZ3 and Z4xS3 are both nonabelian groups of order 24. Determine whether these groups...
Prove that D6 is isomorphic to D3×Z2. (Hint: Find two subgroups,H and K, of D6 such...
Find the characteristic equation of A, the eigenvalues of A, and a basis for the eigenspace...
Consider a gameboard that has 9x9=81 squares. You put one grain of sand on the first...
What is Cannibalization? Cannibalization results when the sales of a new product in part come from...
please show all the step to simplify this by taylor theorem 1/12h | f(x-2h)-8f(x-h)+8f(x+h)-f(x+2h) |
15) A rotating flywheel is being turned by a motor that exerts a constant torque T...
1)Find the Inverse Laplace Transform of X(s) = (s-1)/((s+1)(s+2)^2) 2)A system with the transfer function H(s)...
Consider a simple series RLC circuit with the following values for the resistance, inductance, and capacitance:...
Find the first four nonzero terms in a power series expansion about x = 0 for...
Set up the integral (do not evaluate) to find the volume of the solid generated by...
Consider the function f(x) = x3 − 2x2 − 4x + 9 on the interval [−1,...
Rogers Place can hold a maximum number of 18,500 fans for an Edmonton Oilers hockey game....
A consultant has recommended your organization look to increase its security profile in relation to SMTP...
In a standard elimination tournament, a player wins $100k when he/she wins a match in the...
Explain the following terms: Define what is the Cauchy integral. What is the residue theorem? Explain...
By the Euclidean algorithm to find gcd(279174, 399399) and gcd(144, 233). Again you will want a...
Show that Q(1 + sqrt2) = Q( sqrt2).
Let n ∈ N and f : [n] → [n] a function. Prove that f is...
You want to be able to withdraw $50,000 each year for 15 years. Your account earns...
Let f : A → B and g : B → C. For each statement below...
Washington Air Company is considering the purchase of a helicopter for connecting services between the company's...
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