12/06/23
Discrete Math: Euclidian's Algorithm & Congruence
Can someone please help me with these, as I understand the logic of whether it is true or not but I am not sure what is the correct way to prove them mathematically. Prove or disprove the following...
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09/01/22
3) Prove the following statement: “If x is an even integer, then x^2 is also even."
Not sure if I solved it correctly, but feel free to solve it another way or correct me. Here is what I did:x^2=(2n+2)^2 -- I let nE(belongs to)R(all real number) such that x^2 is an even...
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09/01/22
1a) Write the negation of “if x2>4 then x>2” (your statement should be an “and” or “there exists” statement). 1b) Give all the xvalues that are described by your negation statement.
I know your suppose to use universal or existential quantifier with the reverse A(for all) or E(there exist) element. However, I tried solving it a different way and would this be a possible...
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12/07/21
Use cylindrical coordinates to evaluate the triple integral
Use cylindrical coordinates to evaluate the triple integral ∫∫∫𝐄 sqrt(x^2+y^2) dV, where 𝐄 is the solid bounded by the circular paraboloid z=16 - 4 (x^2+y^2) and the xy-plane.
11/22/21
discrete math e
Events A, B, and C in a sample space have P(A)=0.2, P(B)=0.4, and P(A ∪ B ∪ C)=0.9. Find P(C) if A and B are mutually exclusive, A and C are independent, and B and C are independent.
01/26/21
Find the general solution of the system whose augmented matrix?
Find the general solution of the system whose augmented matrix is given belowa. x1 = x2 is freex3 is freeb. x1 =x2 =x3 =c. x1 = x2 is freex3 = d. The system has no solution
01/26/21
Find the general solution of the system whose augmented matrix is given below
Chose one:1.x1 = x2 = x3 is free2.x1 = x2 = x3 =3.x1= x2 is free x3 is free4.The system has no solution
01/20/21
A^-1 element Qn,n
Hey, i am studying linear algebra 1 , i need a solution for this problem please , i don't know how to start:(Let A =[aij] € GLn (IR) with aij element Z. Show the following statements: 1.) A^-1...
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01/18/21
Linear Algebra : Equivalence Statements Involving Elementary Matrices
Prove : If an n*n matrix A can be expressed as a product of elementary matrices, Ax = b is consistent for every n*1 matrix b.My thoughts on the question :Since A can be expressed as a product of...
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01/15/21
Find the vector equation for the line of intersection of the planes 𝑥−5𝑦+2𝑧=−1 and 𝑥+2𝑧=0
Find the vector equation for the line of intersection of the planes 𝑥 −5𝑦 + 2𝑧 = −1 and 𝑥 + 2𝑧 = 0 | _ | | -10 |x= | _ | + t | _ | | 0 | | _ |Matrices fill in the blanks
01/13/21
Find n(A’∪B) Finite
Suppose that A and B are subsets of a universal set U. Suppose that:N(U)=50N(A)=10n(B)=38 n(A’ ∩ B’)= 15Find n(A’∪B)
01/11/21
The temperature of a roast varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T minus A , where T is the water temperature...
The temperature of a roast varies according to Newton's Law of Cooling: , where T is the water temperature, A is the room temperature, and k is a positive constant.If a room temperature roast...
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01/10/21
maximum and minimum S.P.
for F(x,y) = 6x . y - 24(x + y)Subject to x^2 + y^2 = 16Find:a) a global maximum stationary point and its valueMaximum point: (x,y)max =Maximum value: F(x,y)max =b) a global minimum stationary...
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01/10/21
stationary points for max and min
for F(x,y) = 6x . y - 24(x + y)Subject to x^2 + y^2 = 16Find:a) a global maximum stationary point and its valueMaximum point: (x,y)max =Maximum value: F(x,y)max =b) a global minimum stationary...
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01/10/21
Stationary points
for F(x,y) = 6x . y - 24(x + y)Subject to x^2 + y^2 = 16Find:a) a global maximum stationary point and its valueMaximum point: (x,y)max =Maximum value: F(x,y)max =b) a global minimum stationary...
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01/09/21
Calculating laplacian and gradient
Consider the scalar field Φ(x,y,z) = sin(-z) * e^-y + 7a) Calculate the gradient of Φb) Calculate the Laplacian of Φc) Is this field harmonic ? No/Yes
01/07/21
Algebra 2 permutations
There are 16 girls and 20 boys in a class. A team of 3 students is to be selected for preparing a science project from this class. How many ways can at a two boys and a girl be selected from this...
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01/07/21
Derivative,Ap maths
Find derivative of cosx at x=0Using the formula, derivative of f at point a is denoted by f'(a), f'(a)=Lim(h→0) (f(a+h)-f(a)) /h
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