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Advanced-Math Questions
Let G be a graph with x, y, z є V(G). Prove that if G contains...
Solve the equation x3=15x+4 by the method of Cardano, as explained by Lagrange. Express the roots...
. Given the direction field ⃗n = ⃗r/ r calculate the directional derivative of g(x, y,...
Let u = [-2,1,3,1] and let v = [1,4,0,1]. a. Determine the projector P1 that projects...
In the following we use the notations: ⃗r = (x, y, z) = xˆi + yˆj...
Write down the equations determining the coefficients of the not-a-knot cubic spline interpolating to the data...
Your swimming pool containing 75,000 gal of water has been contaminated by 5 kg of a...
Newton's law of cooling is: du/dt = -k (u-T) where u(t) is temperature of an object,...
here is an interesting pattern 1+2+1=2^2 1+2+3+2+1=3^2 1+2+3+4+3+2+1=4^2 and so on. this pattern continues where the...
Q Corporation and R Inc. are two companies with very similar characteristics. The only difference between...
Use the Taylor expansion and Binomial Theorem to prove that e^a+b = (e^a)(e^b) and estimate the...
Show A∆B = (A∪B)\(A∩B)
Consider the initial value problem y' + 5 4 y = 1 − t 5 , y(0)...
1. A tetrahedron originally has coordinates given in the table below. Assume the tetrahedron is to...
Find the monthly mortgage payment on a loan of $160,000, assuming a 30-year loan at 4.71%....
Suppose you are doing some investment planning. Your goal is to have enough money when you...
Exercise 9. In the questions below you can describe the relations/functions either by drawing a diagram,...
an electronics company produces 3 models of stereo speakers models A B C and can deliver...
Define a relation on N x N by (a, b)R(c, d) iff ad=bc a. Show that...
7.5) If X1 and X2 are independent random variables having exponential densities with the parameters θ1...
Prove that an integer is divisible by 2 if and only if the digit in the...
In the following, directly cite any and all properties of the real numbers that are used...
In March 2011, the Fukushima Daiichi nuclear power plant in Japan experienced a meltdown; consequently, radioactive...
Using two independent methods, find the derivative of ln(1/2x)
1.)How many years does it take for a deposit of $1000 to reach $2400 with an...
Give an example of a sequence that converges to 0 with order alpha= 10
When the smallest of three consecutive odd integers is added to four times the largest, it...
Donna, Chris, and Austin have a total of $93 in their wallets. Donna has $7 more...
Use Green's first identity to show ∭|∇f|²dV = ∬(df/dn) dS.
Solve the linear programming problem by sketching the region and labeling the vertices, deciding whether a...
Formulate the situation as a system of inequalities. (Let x represent the number of dinghies the...
Nine randomly selected teens were asked how many hours per day they spend interacting with others...
In the Problem 5 of Homework #1, for the given coefficients a= 1,b=−1e5 and c= 1,...
one of your curious students noted the following interesting relationship; when she added 2 consecutive odd...
Suppose that a thermometer is taken from a room that is 14 degrees Celcius and put...
Is 4^3072 - 9^4824 divisible by 65? use fermat's little theorem. Make sure to show every...
Say (V,<,>) is a finite dimensional real inner product space. Then the composition of two self...
Discuss and compare the the specialized and statistical functions in Excel. You may need to research...
Consider RxR with dictionary order. Let us call an interval in this ordered set vertical if...
Matlab uses IEEE double precision numbers: 64-bit floating point representation 1 bit : sign 11 bits:...
y''-2y'+5y=excot(2x)
Verify: any countable ordered set is similar to a subset of Q intersect (0,1).
A square has sides of 10 inches each. A second square is inscribed in the original...
There is an uncountable ordered set which is similar to each of its uncountable subsets.
Solve the following Bernoulli equation. (x^2)y' + 4xy = 9^3 Answer: y = +/- (_______)
Without using the equality symbol = or the subset symbol ⊆ (or their negations), just using...
Business 101 AN OPPORTUNITY IN BRITISH COLUMBIA Marian Daniels, a local manufacturer of women's apparel, recently...
Using the extended Euclidean algorithm, find the multiplicative inverse of a. 135 mod 61 b. 7465...
1. Let A and B be sets. The set B is of at least the same...
With total yearly payments of $10,000 for 10 years, compare the compound accumulated at the end...
Prove that the singleton set {0} is a vector subspace of the space P4(R) of all...
Consider the following axiomatic system: 1. Each point is contained by precisely two lines. 2. Each...
Question: -square root5(3square root of 10 -2square root of 20) is equal to ?, could you...
If lim Xn as n->infinity = L and lim Yn as n->infinity = M, and L<M...
Find the area of the curvilinear quadrilateral bounded by the four parabolas y^2 = ax, y^2...
a. Develop the model that represents the population of Chicago b. predict the population in 2019...
Find Mobius transformations mapping {z : Im(z) > 0} onto D(0; 1) and mapping imaginary axis...
Imagine a prison consisting of 64 cells arranged like the squares of an 8-by-8 chessboard. There...
g is holomorphic, g(z) is real if z is real and imaginary if z is imaginary....
What is the definition of "circulant" matrix? What property must a circulant matrix satisfy in order...
Without a calculator, calculate "by hand" the exact value of the expression: -i√2(i+√3)e^((i*pi/3) + 1/2 ln(2))...
3. Identify the hypothesis and conclusion in the following statements. Then, find a counter example showing...
Which of the following sentences are statements? If TRUE or FALSE why!? :) Thank you! a....
Let g be a function such that g(n) = 2g(n/2) + 5 and g(1) = 1....
Use models to show that each of the incidence axioms is independent of the other three....
Assume a Papa John's restaurant has the following information available regarding costs at representative levels of...
Prove the following Theorem 2.33: Given any line, there exists a point that does not lie...
1. Write the following sets in list form. (For example, {x | x ∈N,1 ≤ x...
Find all the real roots of 6x^5 -x^4 + 2x^3 -3x^2 + 2x -18
Consider an axiomatic system that consists of elements in a set S and a set P...
Prove that there exists an infinite quantity of solutions to x^2=1in the quaternions. For example, in...
For each of the following, determine whether it is a vector space over the given field....
Give an example with a proof of an infinite-dimensional vector space over R
1a) Find all the integer solutions of each of the following linear Diophantine equations: (i) 2x...
. The manager of a large student union on campus comes to you with the following...
Solve the linear system x' - 4x + y" = t2 x' + x + y'...
prove that 2^2n-1 is divisible by 3 for all natural numbers n .. please show in...
The original problem is: y''+y^2=1 with initial values y(0)=2 and y'(0)=3. Instructions ask to use the...
Used induction to proof that 2^n > n^2 if n is an integer greater than 4.
Determine the following: i. The maximum velocity of the piston and the maximum force that can be...
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