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Advanced-Math Questions
An aeroplane is preparing to land from an initial height of 2000 meters. Its initial velocity...
A company manufactures x units of Product A and y units of Product B, on two...
Find Z! (-Z!) ? hint use gamma function
A mass weighing 96 lb is attached to a spring hanging from the ceiling and comes...
As online attacks persist, spending on information security software continues to rise. The following table gives...
For all sets A and B, (A Intersect B) U (B-A) is a subset of B
a,b constant find the min (a/n1+b/n2) given n1+n2=N. Thank you
1) describe principle of superposition 2) give an example of euler equation thank you
let g be a group. let h be a subgroup of g. define a~b. if ab^-1...
Find the solution of the initial value problem y′′+4y=t2+7et y(0)=0, y′(0)=2. Enter an exact answer. Enclose...
.1.) Modelling using second order differential equations a) Find the ODE that models of the motion...
Suppose a basketball player has made 245 out of 438438 free throws. If the player makes...
Let T: V -> V be a linear map such that T2 - I = 0...
For each of the properties reflexive, symmetric, antisymmetric, and transitive, carry out the following. Assume that...
Solving Systems of Linear Equations Using Linear Transformations In problems 2 and 5 find a basis...
prove that for every integer m, the number (m^3 +3m^2 +2m)/6 is also an integer can...
A)How do you convert 1/3 into binary with detailed steps ? B) Also how do you...
Let V=Mn(R) and <A,B>=tr(AB) be a symmetric bilinear form on V. Determine the signature of tr(AB)...
Suppose that the batting averages in a specific baseball league are normally distributed with mean 250...
x^y”-xy’+y=6x
Determine if 33 is a square mod 131 (assuming 131 is prime) using a method that...
Discrete Mathematics (a) In the RSA cipher using pq = 77 and e = 7, what...
62% of all Americans watch sports regularly on TV. If you survey 15 people, what's the...
Let E be the mxm matrix that extracts the "even part" of an m-vector; Ex=(x+Fx)/2 where...
Let Sum from n=1 to infinity (an) be a convergent series with monotonically decreasing positive terms....
Define a sequence (xn)n≥1 recursively by x1 = 1 and xn = 1 + 1 /(xn−1)...
A system of differential equations having the form t(~x)' = A ~x, where A is a...
Prove the following statements by contradiction a) If x∈Z is divisible by both even and odd...
True or False, explain: 1. Any polynomial f in Q[x] with deg(f)=3 and no roots in...
If S(n) denotes the sum of digits of n, how can I prove that for any...
1. The Young family is purchasing a $130,000 house with a VA mortgage. The bank is...
For the curve x = sint - tcost, y = cost + tsint, z = t2...
Let n be an integer. Prove that if n is a perfect square (see below for...
The inverse-demand curve for oil in the Middle East is given by P = 20 –...
Task 3 Create your own function that has vertical asymptote x = -3 Find by calculating:...
Activity 10.5. Suppose A is a set that definitely does not contain any cats, and let...
A subset of a power set. (a) Let X = {a, b, c, d}. What is...
Activity 6.6. (a) A positive integer that is greater than 11 and not prime is called...
Let F(x) = 1 + x^2 and G(x) = 1/(1-2x). Find the coefficient of x^2 for...
When 1000 pounds of cucumbers were brought to the store, they contained 99% water. While they...
Please show EVERY step in integrating ((x-1)^2)*(e^-x)dx from 0 to infinity. In particular, when I consult...
These problems concern the discrete metric. You can assume that the underlying space is R. (a)...
Without using the Fundamental Theorem of Arithmetic, use strong induction to prove that for all positive...
Show that if n2+2 and n2-2 are both prime, then 3 divides n. Note: This question...
State the contrapositive and converse for each of the following sentences: (a) “If I do not...
please show me the steps Suppose the temperature at (x, y, z) is given by T...
solve x2y’’ - 7xy’ + 15y = 4x6 using variation of parameter
A company performs a statistical analysis of their quality control check system. They find the following:...
For each of the following pairs of functions f and g (both of which map the...
Find any two vectors which are orthogonal to the bector <2,5,-3>
The temperature in Middletown Park at 6:00 AM last Sunday was 49.2 degrees Fahrenheit. The temperature...
Solve the following differential equations 1. cos(t)y' - sin(t)y = t^2 2. y' - 2ty =...
f:R2 to R2 is a linear transformation so that f(1,4)=(10,11) and f(8,1)=(18,-36). Find the determinant of...
find any vectors which are orthogonal to the vector <2,5,-3>
Let E = {0, 2, 4, . . .} be the set of non-negative even integers...
Consider the numbers 624 and 847. Show that these numbers can be written as the sum...
Let F and G be sequences which satisfy the joint recursion: ??+1 = ??? + ???...
Assume that each point on a circle is colored either red or blue. Prove that there...
Please answer in FULL detail!! Prove that the Mobius function is NOT Completely Multiplicative. Where completely...
Prove the following identities. (a) F1 +F3 +F5 +...+F2n−1 = F2n. (b) F0 −F1 +F2 −F3...
Prove that if n ≥ 3, then Z(S(n)) = {e}.
Let σ ∈ Sn. a) Prove that σ is even if and only if σ−1 is...
integrate tan^5(x)
Let A be a finite set and f a function from A to A. Prove That...
Solve the differential equation by variation of parameters. 5y'' − 10y' + 10y = ex sec(x)...
Solve the given initial-value problem. y’’ + 9y = 0, y(0) = 6, y’(0) = −3
Use Matlab to compute the first 10 iterates with Jacobi Method for equations u + 4v...
Suppose S ⊂ R is nonempty and M is an upper bound for S. Show M...
Find the fourier series representation of each periodic function f(x) = 0, -4 <x<0 f(x) =...
find the general solution of the differential equation: y''+2y'+4y=xcos3x
A student scores the following on his 5 chapter tests: 80, 72, 43, 58, and 96....
Assume that H and K are subgroups of G such that K < H < G...
Use mathematical induction to show that ?! ≥ 3? + 5? for all integers ? ≥...
Show that the equation f(x) = sin(x) - 2x = 0 has exactly one solution on...
a quadratic function has the following atrributes: c-value: 1/2 focus (-2, 5.5) x-intercept: none.... equation:____ c-value:_1/2___...
Supply proofs for the following miscellaneous propositions from the course in a metric space context: (e)...
4. Let A={(1,3),(2,4),(-4,-8),(3,9),(1,5),(3,6)}. The relation R is defined on A as follows: For all (a, b),(c,...
Describe how to carry out principal component analysis (PCA) using SVD
A loan of $5000 is charged a 12% annual interest rate. An $80 payment is made...
i Show that for any Lattice L and s, t ∈ L, s ∧ (s ∨...
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