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Advanced-Math Questions
Assume that function f(x)=|x2 -5x| -a(x+4) . If function f(x) has just 4 roots , then...
Solve the following 2nd Order differential equation and find y(x): y'' + 2y' +y = x...
Decide whether each of the given sets is a group with respect to the indicated operation....
Decide whether each of the given sets is a group with respect to the indicated operation....
Prove that is {xn} is absolutely summable, then {xn} is summable.
Data compiled by the Highway Patrol Department regarding the use of seat-belts by drivers in a...
This is for discrete math: The records of 100 Texas A&M students show the following courses...
Prove that the set of real numbers has the same cardinality as: (a) The set of...
(differential equations): solve for x(t) and y(t) 2x' + x - (5y' +4y)=0 3x'-2x-(4y'-y)=0 note: Prime...
Give an example of a pair of topologically inequivalent metrics on R.
Let f(x)=e^x −x −1 be defined on (−∞,∞). Find a real number a so that a...
(b) The two vertices that form the non-congruent side of an isosceles triangle are (−5, 2)...
Prove the Archimedian Property holds as a consequence of the Axiom of Completeness. That is, show...
Prove that every bounded sequence has a convergent subsequence.
Estimate the area under the graph of f ( x ) = 1 x + 1...
Let A be a finite set and let f be a surjection from A to itself....
Prove that there must be uncountably many more real numbers that are not Algebraic
Prove that the set of all the roots of polynomials with rational coefficients must also be...
Use the fact that “countable union of disjoint countable sets is countable" to prove “the set...
For an infiltration rate of 1.32 air changes per hour (ACH), determine sensible, latent, and total...
A thirsty woman opens the refrigerator and picks up a cool canned drink at 40°F. Determine...
Determine the masses of dry air and the water vapor contained in a 98-m3 room at...
Use Euler’s Theorem to find the inverse of 5 (mod 462).
6. Let a < b and let f : [a, b] → R be continuous. (a)...
For each of the following, compute the numerical answer. a) How many integers from 1 to...
x^=y, y^=-x+ -y+x^2+y^2 has no periodic solution
Solve the following partial differential equation using separation of variables method [Marks 10] ?2?/??2− ???/?? +??/??...
Redo Euler's proof and compute the sum of inverses of fourth powers.
solve the initial value problem y''+8y=cos(3t), y(0)=1, y'(0)=-1
Consider the following annual returns of Molson Coors and International Paper: Molson Coors International Paper Year...
Find the kernel and range and null and rank of (i) the derivative transformation on R[x];...
For the weighted voting system [19 : 10, 6, 2, 1], which of the following Statements...
Problem 8. Suppose that H has index 2 in G. Prove that H is normal in...
8. (a) Use Newton's method to find all solutions of the equation correct to six decimal...
For what n do there exist self-conjugate partitions of n all of whose parts are even?
Find closed formulae for S(n, n − 4) and c(n, n − 4), for all n...
Find eigenvectors associated with the eigenvalues of the following linear operator: (please show all steps) V=...
Before electronic calculators, the function ln(x) was often computed using piecewise linear interpolation with a table...
Please prove the following (using epsilon/delta proofs) formally and clearly: For Xn given by the following,...
1. The following theorem can be proved by induction. State the proposition form you’d use to...
The following table shows your stock positions at the beginning of the year, the dividends that...
Suppose that V is a vector space with basis {u, v, w}. Suppose that T is...
1. Let p be any prime number. Let r be any integer such that 0 <...
you can afford monthly payments of $500 if current mortgage rates are 2.94% for a 15...
Solve the following exercise by applying differential equations: A person weighing 67 kg falls from a...
4.6 Find a singular value decomposition for the vector x = (1,5,7,5)'
The following values of y (cm) were measured for some unknown function. y = 4 9...
Consider the sequence(an)n≥1that starts1,3,5,7,9,...(i.e, the odd numbers in order). (a) Give a recursive definition and closed...
2. Let a and b be elements of a group, G, whose identity element is denoted...
Two routes connect an origin-destination pair with performance functions t1 = 2+x1 and t2 = 1+2x2...
Let f be continuous on [ 0 , ∞ ) and differentiable on ( 0 ,...
1. Let a and b be elements of a group, G, whose identity element is denoted...
use a double integral in polar coordinates to find the volume of the solid in the...
Use the Laplace transform to solve the following initial value problem: y′′ + 8y ′+ 16y...
Find all Automorphisms of Z9
Find the approximate derivative of the equation x3+2x2-4x+3 for the value of x from 0.5 to...
Assume f : A → B. (i) Show that if A1 and A2 are subsets of...
Find the root of the function: f(x)=2x+sin(x)-e^x, using Newton Method and initial value of 0. Calculate...
Let m = 2k + 1 be an odd integer. Prove that k + 1 is...
A circle is circumscribed about an equilateral triangle, and another circle is inscribed in the triangle....
We use money in our daily lives. How you earn, spend, and save money all rely...
Draw the Schedule in a horizontal timeline manner with the X and S locks before the...
A taxi service charges 30 pesos as flag-down rate. 8.50 pesos per kilometervfor the first 12...
Find the mass of the solid bounded by x^2+y^2−z^2= 1, z=−1, z= 2 with densityρ(x,y,z) =z^2.
Let 0 < a < b < ∞. Let f : [a, ∞) → R continuous...
For functions f and g, where f(x) = 1 + x 2 , g(x) = x...
Find the QR- factorization of each matrix (a) A = 1 1 0 1...
Given a tree with p vertices, how many edges must you add without adding vertices to...
1. Explain how to calculate percent decreases or increases. Many years ago comic books cost 10 cents...
Suppose S is a ring with p elements, where p is prime. a)Show that as an...
Calculate ∫ ∫S f(x,y,z)dS for the given surface and function. x2+y2+z2=144, 6≤z≤12; f(x,y,z)=z2(x2+y2+z2)−1.
Let W be a subspace of R^4 spanned by v1 = [1,1,2,0] and v2 = 2,-1,0,4]....
4a). Let g be continuous at x = 0. Show that f(x) = xg(x) is differentiable...
Let f: [a,b] to R be continuous and strictly increasing on (a,b). Show that f is...
Find all isomorphism classes for albelian groups of order p2q3r4, where p,q, and r are prime.
How can you determine if a sequence is arithmetic, geometric, or neither? Give an example of...
write a proof of the stokes theorem using pictures and words that 1. is understandable for...
prove limit 2x^2-x-5=1as x approaches 2 using epislon/delta
analysis 2; what does compactness mean? what does open or closed mean? what is clopen?
Find the upper and lower sums for the region bounded by the graph of the function...
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