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... more

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... more

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... more

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... more

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... more

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

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... more

What is the integral of (1-2x)^2 dx/x

Please help me answer my homework, thank you

What is the integral of cos^2 dy/1-siny

please help me answer this problem, thank you

PLEASE HELP ASAP! PLEASE

solve the differential equation:(e^(-x2/2) - xy) dx=dy

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... more

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... more

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... more

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

01/08/21

Calculus Integration

Suppose that  is an even function. If  and , what is ?

01/08/21

Calculus Integration

The graph of f(x) shown below is a piecewise linear function. Find .

01/08/21

Calculus Integration

If , what is ?

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... more

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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