if

Q: Let X be an infinite set with the countable closed topology T={S subset of X; X-S is countable}. The...

A:

Q: Which of the following sets is open in (R, Tµ)? О а. R { (-1)"3n³ :n E N} 5n+n³ b. O b. [2, 4) U (1,...

A: Option (c) is correct.

Q: Advanced Math Question

A: Given: the given differential equation is y'''-25y'=0

Q: Find the general solution of the ordinary differential equation: r²y" – ry + y %3D

A: The differential equation is given as x2y''-xy'+y=2x                         (1) It is a Cauchy Eule...

Q: Let X be an infinite set with the countable closed topology T={S subset of X; X-S is countable}. The...

A: Connected means it cannot be written as union of disjoint open sets

Q: Let f be a mapping from [1,+0[ to [1,+00[, defined by f(x)=x+1/x. Then None of the choices f is a ho...

A:

Q: Direction: Determine the Laplace Transform of the following functions. 2 1. sin 3at where a is any p...

A: Determine the Laplace transformation using the formula, ∫0∞e-stsintt=Lsintt

Q: Topology Choose the correct answer

A:  f is continuous but not homeomorphism

Q: A property Is said to be a topological property if it is preserved by homeomorphism. Suppose that R ...

A: Answer :

Q: Consider the subsets [0, 1] and [3, 4] of R, the set of all real numbers with theeuclidean topology....

A:

Q: Let T us be the usual topology on R and Tl be the lower limit topology generated by the unions of (J...

A:

Q: Find the norm of the vector U(2,-6,1) Answer:

A:

Q: 1) Consider the following matrix: 1 7 8 8 A = 1 3 3 -2 -5 1 -8 Answer the following questions: 1.1) ...

A: R is row echelon form not row reduced echelon form.

Q: Answer and show the solution: choices a. 4 b. 3 c. 6 d. 5

A: We first substitute the values of d1,d2,d3,d4,d5,d6,d7,d8,d9,d10 in d11 and then we will find the ch...

Q: 4) Determine whether or not each of the following subset of R with the euclidean topology is path-co...

A: i) Set A is not path connected because we can't find a path between any two points. Like there is no...

Q: Let X and Y be two discrete spaces, then * O X is homeomorphic to Y if and only if X and Y have the ...

A: Homeomorphic spaces  X is homeomorphic to Y if and only there exist a bijective continuous map whose...

Q: Find Laplace transform of (i) part and find Laplace theorem using theorem of differentiation of L.T ...

A: Laplace transform

Q: If n/(a – b) and lcm(2b, 2n) = 2, %3D then gcd(2a, 2n) = 4 2nb O 4b nb 2n 4nb O

A: Given lcm(2b,2n) = 2 It can only if possible if 2b = 2 and 2n = 2 Hence b = 1n = 1

Q: Let f be a mapping from [1,+00[ to [1,+00[, defined by f(x)=x+1/x. Then * f is continuous but it is ...

A:

Q: Need help with part C

A: The problems with set theory can be solved using Venn diagram or theoretical notations. A Venn diagr...

Q: In ([0,0),Tcoc), if A = N, then A' = O a. (0,00) O b. [0,00) O C. O d. A e. A-{1}

A:

Q: Let f be a mapping from [1,+00[ to [1,+00[, defined by f(x)=x+1/x. Then * O None of the choices O fi...

A: Function is continuous in [1, inf)  This function is not onto since it's range will be [2, inf) whic...

Q: Help me please

A: Since you have asked multiple question, we will solve the first question for you.  If you want any s...

Q: ODE and Dynamical System

A:

Q: q6.1

A: RTT and Sally are the two major companies that operate in Turkish pencil manufacturing industry. Whi...

Q: Which one of the following statements is true? * O A subspace of a discrete space is indiscrete O A ...

A:

Q: Let X be an infinite set with the countable closed topology T={S subset of X; X-S is countable). The...

A:

Q: Let R be the set of all real numbers with the euclidean topology. Show that R has an uncountable num...

A: We will first show : (iii) If S is dense in X, then T is dense in X, where S and T are non-empty sub...

Q: In (R, t,), if A = { :n E N}, then 3+n I(А) —

A: option (C).

Q: (1 0 1 0 1 1 2 3 2 2 5 0 2. Suppose T : R' → R³ is a linear mapping with standard matrix A = (a) Is ...

A:

Q: Give example of clsad subset of IR cwhise two an dimeasiunal Lebesque outer masuie ís o

A: Consider the unit square L=0,1×0,1. Clearly L is a closed set with boundaries l1, l2, l3 and l4. Whe...

Q: Please choose the correct answer. Thank you If X={1, 4, 7} and Y={2, 3} and define a relation R fro...

A: The connection between two sets is defined by a relation. If set A has relation with set B , then th...

Q: 6.1

A: Given: RTT produces q1 pencils for  q1 dollars Sally manufactures q2 pencils for 0.5q22 dollars

Q: Your task: Graph the following functions using any graphing utility app and determine which of the f...

A: A point of discontinuity of a function is the point at which the function is undefined. There are di...

Q: Monthly sales for a six month period are as follows:                                              ...

A: Consider the provided question, Monthly sales for a six month period are as follows:  

Q: Not yet answered Marked out of 5.00 P Flag question Find the area of the triangle formed by the 2 ve...

A: Solution by using the cross product of given vectors as follows

Q: Use the Karl weierstrass substitution to integrate

A: We have to find the integral.

Q: x + y + z = 4 function on the f(x,y,z) = x³ + y³ + z³ plane Find the maximum and minimum values by t...

A: We have to solve given problem:

Q: Write a program that does the following: 1) Use the “ones" and the "eye" inbuilt functions to create...

A: Note: Since you have posted multiple independent questions, according to our policy we are only allo...

Q: Find the integral by trigonometric substitution: * [V1- Tu /1– 7w² dw

A: Let I=∫1-7w2dw Putting w=17sinx dw=17cosxdx So,  I=17∫1-sin2xcosxdxI=17∫cos2xdx                     ...

Q: Consider the subsets [0, 1] and [3, 4] of R, the set of all real numbers with theeuclidean topology....

A: Consider the subsets [0, 1] and [3, 4] of R, the set of all real numbers with theeuclidean topology....

Q: Let matices

A: Given that, I=1001 ; A=100-1 ; B=-1001 ; C=-100-1 G = {I, A, B, C} Let the binary operation defined ...

Q: What two positive numbers whose sum is 90, and the square of their difference times the cube of the ...

A: Let us assume a function f(x). For the function f(x), the rate of change of function is given by the...

Q: Question 1: Solve the following linear system of equations 2x1 + 3x2 – x3 = 5 4.x1 + 4x2 – 3r3 = 3 -...

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new ques...

Q: Let U and V 2 vectors in R3. U(-4, 6, 3) and ||V|| = 2.8 (norm of V) if the angle between U and V is...

A: Given that U=(-4,6,3) and V=2.8 Where the angle between U and V is θ=0.2π. The formula is, cosθ=u.vu...

Q: Let X = {a, b, c, d, e} and let T = { X, Ø, {a}, {c,d}, {a,c,d}, {b,c,d,e}}, then * O (X,T) is Hausd...

A: The answer is neither connect nor housdorff

Q: Let f be a mapping from [1,+0[ to [1,+00[, defined by f(x)=x+1/x. Then * O fis not a homeomorphism f...

A:

Q: Find the Maclaurin series for f(x) = sin? x. For what values of x does it converge to f(x)? 2n=1(-1)...

A:

Q: 1. Use linear approximation or differentials (but not both) to estimate: V7.98 Is your answer an und...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Expond lap(cora) in powers of (x-2) wing Taylon's Thusem

A: The given function is: f(x)=log(cos x) To expand the function using Taylor series around a=2 using t...