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Let u=[6,2 ], v=[3,3 ], and b=[4,1 ]. Find (x⋅u+y⋅v-b)×2 u, where x,y are scalars.
9. Construct a triangle given: side a, altitude a (h_a), and median a (m_a) provide the...
The topic of the material is convex optimization. The relevant textbook is Convex Optimization, Boyd &...
Let A ∈ Rmxn, and B ∈ Rrxm. Show that BR(A) = R(BA), where BR(A) :=...
Finish the following M-file. Run your function on the same matrix A as given in the...
Give the graphical representation of 3types of distribution. - sample distribution - population distribution - sampling...
1. By hand, sketch the slope field for the DE x ′ = x(1 − x/4)...
Prove let n be an integer. Then the following are equivalent. 1. n is an even...
Consider the divisors of 30: 1,2,3,5,6,10,15,30. It can be seen that for every divisor d of...
Fourier Series Approximation Matlab HW1: You are given a finite function xt={-1 0≤t≤5; 1 5<t≤10...
Identify the following areas on the break-even charts below: [4 marks] LOSS AREA TC LINE FC...
***PLEASE SHOW ALL WORK AND COMMANDS FOR HOW TO DO IN SAGE APPLICATION*** A parking lot...
How to prove the standard Norm is a Norm in the complex plane?
A bill of materials contains two 15 [34x25'6"], two15[34x31'6"], and three 12 [27x31'6"]. the total weight...
Prove that the set of real numbers of the form e^n,n= 0,=+-1,+-2,... is countable.
Total emissions of carbon dioxide from the burning of fossil fuels have been increasing at about...
Let A be a nonempty set and let P(x) and Q(x) be open statements. Consider the...
For a function f(x), hypothesize what would happen to the graph if multiple k-values were introduced...
How do you describe the graph f(x,y,z)= xy+yz by computing level sets and sections?
6)A bakery offers seven types of cookies: snickerdoodle, chocolate chip, sugar, macaroon, peanut butter, oatmeal raisin,...
8 (Prob 29, 32 on Page 62) For the following two arguments, first use symbols to...
A solid in the xyz space has a lower base on the equation paraboloid z =...
Let P be the vector space of all polynomials in x with real coefficients. Does P...
Write the vector, parametric and symmetric equatons of the lines described. Passes through P = (5,...
Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no...
DIFFERENTIAL EQUATIONS PROBLEM Consider a population model that is a generalization of the exponential model for...
Three potential employees took an aptitude test. Each person took a different version of the test....
The probability of passing an exam without studying is 25%. The probability of passing an exam...
Prove ((P ∨ ¬Q) ∧ (¬P ∨ R)) → (Q → R) Hint: this starts with...
Please give an example- i) Normalize a basis by dividing each vector by its norm. ii)...
What is the internal angle (in degrees) of the convex polygon when you connect all the...
Describe a problem that can be solved by using the shortest-route model. Give a detailed mathematical...
differential equations find the solution to the initial value problem y’’ + y(x^2) = 0 y(0)...
Suppose N is a normal subgroup of G such that |G/N|= p is a prime. Let...
A buyer for a candle gift shop purchased an assortment of candles: 160 jar candles (22...
Find a nonzero function f: R -> R such that (f o f)(r) = 0 for...
Determine the truth value of each of the statement below. Explain your answer clearly. (d) ∀x...
how is religion and morality different as they relate to social issues
Consider the sequence g0 = 1, g1 = 1, g2 = 21, g3 = 41, g4...
Prove: A discrete metric space X is separable if and only if X is countable.
how would you solve the below diophantine equation using thw method of congruence. - number theory...
How could I mathematically prove these statements? 1. If two relatively prime numbers each divide another,...
Prove that the span of three linearly independent vectors, u, v, w is R3
a) Determine whether the matrix is singular.
Find two simple connected graphs with the same number of edges and the same number of...
How could I mathematically prove these statements? 1.If the difference of two numbers is even then...
A positive integer is called a novenary if all of its prime factors are less than...
Prove that if (xn) is a sequence of real numbers, then lim sup|xn| = 0 as...
A company’s total sales (in millions of dollars) are linear as a function of time (in...
For a and b relatively prime, prove that the largest k for which ax + by...
Prove the rule of nines
3. Assume √2 ∈R. Let S = { rational numbers q : q < √2 }....
1. (a) Let S be a nonempty set of real numbers that is bounded above. Prove...
There are 435 members of the US House of Representatives. Give a constructive proof using the...
Show that if a subset S has a maximum, then the maximum is also the supremum....
Let f, g : X −→ C denote continuous functions from the open subset X of...
Prove that the Well Ordering Principle implies the Principle of Induction. please show step by step...
Write down the parametrized surfaces as level surfaces {f(x,y,z)=0}. x=ucosv, y=usinv, z=u, 0 <= u <=...
Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle...
Consider the formula A : ∃x.[(∀y.P (x, y) → R(x)) → ¬∃z.Q(x, z)] (a) Find a...
Construct a family of polygonal functions on the interval [a,b] which are not equicontinuous.
(1 point) A Bernoulli differential equation is one of the form dydx+P(x)y=Q(x)yn (∗) Observe that, if n=0...
Suppose E is a given set, and On, for n ∈ N, is the set defined...
Prove the following: (By contradiction) If p,q are rational numbers, with p<q, then there exists a...
Reduce the following equation to first order and solve Y” + (1+1/Y) (Y’)2 = 0 Please...
how many arrangements can be made using the letters of "EQUATIONS" provided that the vowels always...
Determine the number of digits needed to write the decimal number 289,259,165 in binary.
The paraboloid z = 5 − x − x2 − 2y2 intersects the plane x =...
4. Marta has brought n distinct doughnuts for her three friends. She wants each doughnut to...
Problem 3.9. Let A and B be sets. Prove that A × ∅ = ∅ ×...
This problem is also a Monte Carlo simulation, but this time in the continuous domain: must...
Write down Divergence law in integral form: o Derive the differential form of Divergence law from...
1. The region bounded by y=x8 and y=sin(πx/2) is rotated about the line x=−7. Using cylindrical...
List the advantages and disadvantages of solving integer programming problems by (a) rounding off and (b)...
Simon Lafleur is the founder and sole proprietor of Wetaskawin Wildcatters (WW). WW develops oil wells...
1. Assuming one of your stock return’s actual distribution has high positive kurtosis, how would the...
Determine the probability of having 2 girls and 3 boys in a 5-child family assuming boys...
Find Tn for n=10 and plot Tn with arcsin for n=3,6,10. Let T be the nth...
Find a particular solution to the differential equation using the Method of Undetermined Coefficients. 6y''+4y'-y=9
How many different decimal strings of length 2 (strings of length two where each element of...
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