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Advanced-Math Questions
Find an integrating factor for the equation that depends on one variable only. Verify that the...
Plot the expected 1D mean squared displacement (in microns^2) for a particle 1 micron in diameter...
(1) Give formal proofs of the following sequents, for any theory T and formulas φ, ψ,...
Write a predicate calculus statement that involves a universal and an existential quantifier. The domains for...
f is holomorphic in region G, f is not constant. Show that there is no such...
Use Euler's method with step size 0.1 to estimate y(0.5), where y(x) is the solution of...
Calculated calories per day: Please show work Lydia, aged 25, 125 pounds, 5’4”, runs 5 miles...
Define ordinary differential equations and partial differential equations. How do they differ? What are the most...
Given the initial value problem: y'=6√(t+y), y(0)=1 Use Euler's method with step size h = 0.1 to...
Prove that every real number is a limit point of the rationals.
A particle is described by the wave function ψ(x) = b(a2 - x2) for -a ≤...
Suppose f and g are the set of complex numbers such that there are function lim...
Let a and b be non-zero integers. Do not appeal to the fundamental theorem of arithmetic...
Use eulers equation to derive expansions for cos(a)sin(b) and cos(a)cos(b)
Decide whether or not the following equations are linear: (a) d^2/dx^2y(x) = -8(y(x))^2 is a -...
A curve traces the intersection point of two lines. The first line is flat, starts at...
let A=[1 2 4] 2 -2 2 -1 4 2 find an orthonormal basis of the...
Solve the differential equation: d/dx*y(x) + y(x) = 3 y(x) = ?
A pirate finds 12 gold coins on an abandoned ship. Yet, he is worried that some...
Let's say we are using vigenere cipher. We have a key of "red" and a plain...
Provide 1 zero-dimensional subspace, 2 one-dimensional subspaces, 2 two-dimensional sub spaces, and 1 three-dimensional subspace of...
for the function g(x) = 1/x for all nonzero real numbers X. Is the cardinality the...
Newton's law of cooling states that the temperature of an object changes at a rate proportional...
A farmer can buy two types of plant food, mix A and mix B. Each cubic...
what is the definiton of a incremental search method and what are the steps used to...
2. a. In what order are the operations in the following propositions performed? i. P ∨ ...
(a) If a is an integer that is not divisible by 23, what are the possible...
Biologists stock a lake with 500 fish and estimate the carrying capacity to be 10,000. The...
The population P(t) of bacteria grows according to the logistics equation dP/dt=P(12−P/4000), where t is in...
One old-time method to estimate the square root of any positive number a is called divide...
OPERATIONS RESEARCH 3). Consider a Balanced Transportation problem (BTP) with costs cij . Suppose c11 is...
Find the general solution to the following equation, tx' + 2x = sin(t)/t Show that your...
Write down all 4-th roots of 1 in exponential form. Please show steps.
Solve the given initial-value problem. (d2y) /dθ2 + y = 0, y(π/3) = 0, y'(π/3) = 8
Describe the method of establishing and evaluating a triple integral. Give an example using ONE of...
Assume that the committee consists of 7 Republicans and 7 Democrats. A subcommittee consisting of 5...
Let F be a field and Aff(F) := {f(x) = ax + b : a, b...
Choose a real world example that makes use of a Venn diagram that involves at least...
f(z) = e^x(cosy) + ie^x(siny) is analytical. Where is it analytical. Please explain to me how...
8. Is the following regular expression property correct? R* = R*(Ʌ+R) If it is correct,...
Answer with full solution please A spherical balloon is being inflated and the radius of the...
Find all z ∈ C which satisfy the following polynomial equations: (a) z^3 + 27 =...
I need to create a linear scenario and problem. It must have at least two parts...
A student has 4 marbles with colors: green, green, red, and white. He picked all the...
Write a non trivial denial of the following propositions: 1.a) ∀ x in R, x >...
Suppose we are modeling heat flow in a one dimensional rod with constant thermal conductivity K0...
xy''-2y'+xy=0 how to solve this equation by using bessel transformation and changing variable
how many different lists of length five can you make consisting of (1,2,3) when each number...
pseudo code for gauss-siedel and SOR iterative methods by pseudo code i mean i want the...
As an epidemiologist you are going to investigate the effect of a drug suspected of causing...
Solve each item supporting your answer with clear expalanation. 1. Consider the dynamical system x1(t +...
On a mild Saturday morning while people are working inside, the furnace keeps the temperature inside...
Suppose B = {b1,b2} is basis for linear space V and C = {⃗c1,⃗c2,⃗c3} is a...
the sample mean is the point estimator of
Calculate the directional derivative at point p in the direction a. 1) f (x, y) =...
w = f(z) = z2. S = {z: Im(z) = b} . Find the image f(S)....
2. Find a particular solution of x′′ + x = 8 cos^2 t using the method...
Give an example of a nontrivial subgroup of a multiplicative group R× = {x ∈ R|x...
Let λ be a positive irrational real number. If n is a positive integer, choose by...
Determine if the given system is consistent. Do not completely solve the system. 2x_1 + 4x_3...
Suppose that lub A = a and lub B = b. Do lub (A u B)...
I play in a hand bell choir at my church. We have twelve positions (hand bell...
Let x be a string of length n, and let y be a string of length...
For which values of k are there no solutions, many solutions, or a unique solution to...
Use the method of direct proof to show that for any positive 5-digit integer n, if...
4. Consider the solid bounded by the paraboloid x^2+ y^2 + z = 9 as well...
solve by superposition d^2y/dx^2 -2dy-dx -3y =e^(-x) +2senx
Find the centroid of the region bounded the following curves. Show a graph of the region....
Homeowrk: 9.3 Applications of Counting A radio station runs a promotion at an auto show with...
For all x and y, if x and y are real numbers, then exactly one of...
Prove that A_4 (a group of order 4!//2 = 24/2 = 12) has no subgroup H...
Let AA be a 4 by 8 , BB be a 8 by 9 and CC...
Proof by induction: for every nonnegative integer n, 9|(4^3n-1). Also what does the vertical line mean?...
Show that A-n is a normal subgroup of S-n. Hint: what is the index of A-n...
Let Q1=y(1.5), Q2=y(2), where y=y(x) solves y'+ycotx=y^3 sin^3x y( π/2)=1 Please show all steps! Thank you!
Show that if G is a group, H a subgroup of G with |H| = n,...
1.Let y=6x^2. Find a parametrization of the osculating circle at the point x=4. 2. Find the...
Determine which of the following spaces are connected. (a). X= {1,2,3,4} and T = {X, ∅,...
The population of mosquitoes in a certain area increases at a rate proportional to the current...
For time 0<t<10 water is flowing into a small tub at a rate given by the...
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