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Advanced-Math Questions
Write a linear program for the following problem. (Do not solve.) A fast food chain is...
1) A liquid contains 0.80 mg of a substance per milliliter. How many grams (to the...
. Prove that 2^(2n-1) + 3^(2n-1) is divisible by 5 for every natural number n.
Consider a brute force attempt to crack keys for the following scenario. You have in your...
Consider the polynomial function P, given by P(x) =−1/2x^3 - 1/2x^2 + 15x Sketch a graph...
Part of a test given to young children consists of putting together a simple jigsaw puzzle....
f is a transformation of the plane so that f(x,y)=(a⋅x+b⋅y,c⋅x+d⋅y) for some symmetric matrix M=[[a,b],[c,d]]. It...
How can De Moivre's theorem be described? What is the scope of this theorem?
Write the example of one dimensional wave equation on [0, 4]. (Write out the system of...
We know that the successive zeros of the cosine and sine functions alternate, i.e., they interlace...
x(t) = 3te ^(−2t) + 5e ^(−2t) Classify as un-damped, under-damped, over-damped, or critically damped.
. If three balls are drawn at random, what is the probability that at least one...
A (–4, –1, 2), B (3, –2, –1) and C (–1, 3, –4), AB= 7? −...
How many positive integers less than 10000 are there which contain at least one 3 or...
Starbucks reports net income for 2015 of $2,634.4 million. Its stockholders' equity is $5,605 million and...
Consider the following predicate formulas. F1: ∀x ( P(x) → Q(x) ) F2: ∀x P(x) →...
Find a basis B for the domain of T such that the matrix for T relative...
How to solve this equation to find f(n), where f(n)=1+p*f(n+1)+q*f(n-1). p,q are constant and p+q=1. We...
Discuss the bifurcation of the given nonlinear systems. x˙=r^2 - x^2
Please explain and provide examples with words and numbers reply on microsoft word document to be...
he equation for a parabola has the form ?=??2+??+?y=ax2+bx+c, where ?a, ?b, and ?c are constants...
Måns waits for the bus.The waiting time,T,until a bus comes is U(0,a) distributed. While he waits...
A bakery has seven different types of muffins. How many different packages of a dozen muffins...
Back in the day, Compuserve was the first major national internet service provider. Users were assigned...
Back in the day, Compuserve was the first major national internet service provider. Users were assigned...
1. A population grows according to an exponential growth model. The initial population is P0=12, and...
2. License plates in a given state must consist of three letters followed by four digits....
Exercise 1.(50 pts) Translate the following sentences to symbols, write a useful negation, and translate back...
Prove that every prime greater than 3 can be written in the form 6n + 1...
Jerry is saving for his granddaughter’s education. If he deposits $1,000a year on each of her...
Please explain step by step. 3. (a) Assume X is a separable metric space, Y is...
A letter in the alphabet is said to be fixed if the encryption of the letter...
Prove the following in the plane: a.) If a point lies in each of two neighborhoods...
How would I start to solve this question Find how many megapixels are wasted for each...
Find the Inverse Laplace Transform of the following functions (a) F(s) =4/s(s2+2s+2) (b) F(s) =8/s2(s2+2)
Prove the following in the plane. a.) The complement of a closed set is open. b.)...
It is said that a set A ⊆ C (complex set) is countable if there exist...
For each variable, indicate the level of data measurement. a. The length of time left parenthesis...
Find the center of mass of the region bound by y=x^2 and y = x +...
Find the vector in ℝ3 from point A=(x,y,z) to B=(−7,−2,−8).. AB→= The vector v⃗ in 2-space of...
Use the method of Frobenius and the larger indicial root to find the first four nonzero...
Using mathematical induction (or otherwise) prove the following statement: There is no m ∈ Z with...
find laplace transform of a)1+e-t b)sin3t
prove that the family of set of {x: x>a, a rational} or {x:x<a, a rational} forms...
In Locality Sensitive Hashing, we divide signature columns to b bands where there are r elements...
Use the Laplace transform to solve following initial value problem.... ?″+6?′+58?=?(?−3) ?(0)=0, ?′(0)=0 y(t) = ?...
Find a second solution of the given differential equation. Use reductionof order or Formula (4). Assume...
Find the inverse Laplace transform of followings.. a) ?(?)=[−3?^(−2?)−3?^(−4?)+4?^(−6?)+3?^(−7?)] / s b) ?(?)=(?^(−8?))/)?^(2)−4) c) ?(?)=(7?^(−7?))/?^(2)+64 d)...
Problem 3. Recall that a linear map f : V → W is called an isomorphism...
Let ℙn be the set of real polynomials of degree at most n, and write p′...
1.a Implication: If an endomorphism f : V → V is not an isomorphism, then it...
Find a unit vector with positive first coordinate that is orthogonal to the plane through the...
Suppose your manager presents you with the following information about machines that could be used for...
Use variation of parameters to find a particular solution xp. x'' + 2x' + x =...
Consider the following. x'' + 4x' + 13x = 0, x(0) = 1, x'(0) = 1...
Consider the following time series data. Week 1 2 3 4 5 6 Value 18 14...
Let V be the set of all ordered pairs of real numbers. Consider the following addition...
Use axioms to prove the theorem: if x and y are non-zero real numbers, then xy...
fill the space: columns of AB are linear combinations of ......?
Consider the subspace of ? = ?0(?) spanned by {?1(?) = 1 − 2x, ?2(?) =...
Solve the following initial value problems a) x′ = -y y′ = x x(0) = 1...
This is regards to constant evaluation when using differential equations. A solution is given to be:...
Harlan made equal payments at the end of each month into his RRSP. If interest in...
F(x, y, z) =< 3xy^2 , xe^z , z^3 >, S is the solid bounded by...
Solve y"-4y=12x2 +6+4e2x By: Undetermined Coefficients
Verify Axioms 5, 6, 7 and 8 on the vector space example ℝ? for any ?...
F(x, y, z) = xye^zˆi + xy^2 z^3ˆj − ye^zˆk,S is the surface of the box...
b) On my summer road trip, I drove from Rapid City, SD to Grand Forks, ND....
Find the volume of the solid under the surface z = 5x + 2y 2 and...
Two-thirds of the way across a narrow railroad bridge, Nick hears a 45 mph train coming...
Find the Laplace transform of f(t) = ?3e3t
Find two terminating decimals that also terminate in binary. This is for a numerical analysis course....
Solve the following initial value problem. y''-2y'+2y=4x+5. ; y(0)=3. and y'(0)=0
given values : c_0 = 200 ka= 0.065 kc= 2.159 Backround info: The first order compartment...
Use mathematical induction to prove that for each integer n ≥ 4, 5n ≥ 2 2n+1...
Toss 4 dices, what is the probability of getting three with the same face and one...
9. You have spent $12,500 on a project so far. The project is behind schedule and...
differential equation(2x+3y)dx+ (y+2)dy=0
Question about pointwise converge of Series of Functin fn:A-->R we know that the series is pointwise...
Give an example of a topological space X that is Hausdorff, but not regular. Prove that...
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