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Q: 1 0 2 0 4 4 1 3 0 -2 9 2 3 6. - (a) Find the determinant of the matrix A You must show your 3 3 ceps...

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Q: Consider the following functions. 1,(x) = 6, 1,(x) = cos?cx), f3(x) = sin?(x) g(x) = c,,(x) + c,f,Cx...

A: See the attachment

Q: Find the norm of the image of U(4.9, 5.1) by a rotation of 0 = A/1o Answer:

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Q: Find the extremum and saddle points of the function f(x, y) = x³ – 3xy + y³ if any.

A: Given problem is :

Q: Algbra

A: We are given that the exponential growth function is given by Pt=61.025t Here, Pt is the population ...

Q: Use a table to express the values of each of these Boolean functions: *Then, find the sum of product...

A: given that (a) F(x, y,z)=x¯y x y x xy 0 0 1 0 0 1 1 1 1 0 0 0 1 1 0 0 sum of product  ...

Q: let X={a,b,c} Construct two topologies for the set that have at least 4 open and that are equivalent...

A: Given that X=a,b,c. To construct two topologies that have at least four open sets. We know that in e...

Q: Let S={2t, t- 7, t2 + 6} be a subset of the vector space P2. 1) S is linearly independent. (ii) Span...

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Q: Let X = {a, b, c, d, e} and let T= {X, ø, {a}, {c,d}, {a,c,d}, {b,c,d,e}}, then * (X, T) is not Haus...

A: Option 2 is correct.

Q: Explain the difference between Secant method and Regula-Falsi method

A: Difference between secant method and Regula falsi method Regula falsi method is also known as method...

Q: Let X and Y be two discrete spaces, then * X is never homeomorphic to Y X is homomorphic to Y if and...

A: Definition: Two descrete spaces with same cardinality are homeomorphic.

Q: Let f be a mapping from ]0,2[ to [1,+c0[ defined by f(x) = 1/x. Then %3D f is not continuous O None ...

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Q: 1.3 Find the area of the parallelogram with the vertices A(-5,–4), B(2, –4), C(4,4) and D(-3,4).

A: Since you have posted more than one question, we will solve the first one for you. To get remaining ...

Q: Use the known Maclaurin series for e to answer the following. n! n=0 (a) Find a power series represe...

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Q: Topology

A: A homeomorphism is a bijective continuous map whose inverse is also continuous

Q: 15. A restaurant with 25 tables has 4 tables by the window. Parties are seated randomly at the table...

A: Given that  A restaurant with 25 tables has 4 tables by the window.  Parties are seated randomly at ...

Q: Calculate the directional derivative of the function f(x.y.z)= In(xy+xz+yz) at (1, 1, 1) in the dire...

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Q: In (R., 7rom), if A = n EN}. and B = (2, 3) then AUB=

A: We know that cl(AUB)=cl(A) U cl(B) Where cl(A) means closure of A

Q: Which one of the following statements is true? * R with the Euclidean topology and R with the discre...

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Q: The of tha of Affol ond Nloomi is to ome Affilh will be of Naomi Dow Ha ald Sum 34 2 times the Hhey....

A: Assume the present ages of 'A' and 'N' be x and y respectively. According to the given conditions fo...

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: Need help with part (e). Thank you :)

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

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

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

Q: Q2. Solve the initial value problem 2- y = f(x) with initial condition y(0) = 2 and dx (0, 0<x<1 f(x...

A: Given differential equation is. dydx-y=fx                                      ........1 The given i...

Q: Find the solution vector of the given system by applying Gauss-Seidel method for 2 iterations with t...

A: Instead of x1,x2 and x3 I choose x,y and z

Q: Find the area for the following triangles with the appropriate sides given. Leave answers in reduced...

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Q: Let R be equipped with the Euclidean topology T and let Y =[10,20]. We denote by Ty the induced topo...

A: See the detailed solution below. 

Q: Evaluate the following (Express allanswerin Rectangular Form a. In cot(1 – 4i) b. (3ežu") с. (3 — 46...

A: To Determine :-  Evaluate the following : a. ln cot  1- 4i  b.  3 e34πii c.  3 - 4i7

Q: Consider the following functions. ,(x) = x, f2(x) = x - 1, f3(x) = x + 6 g(x) = c,f,(x) + czf2(x) + ...

A: We have to solve given problem:

Q: Let TA an operator from R3 to R3. W(w1, w2, w3) = TẠ(X1, X2, x3) W1 = -5.2X1 + 9.2X2 +9x3 W2 = 8.1x1...

A: Given that the operator TA is not invertible. Since in finite dimension one-one implies onto, the op...

Q: 21 4) Find the integral Ji by the complex path (+2at-2a cose integral (Residue) method. (Think that ...

A: Given ∫02πdθ1+2a2-2a cosθ It can be written as, ∫02πdθ1+2a2+-2a cosθ It is of the form, ∫02πdθa+b co...

Q: solve 1 and 2, 3

A: The voltage rate is the change in voltage with respect to the change in time. This can be obtained b...

Q: Discuss several advantages of linear programming clearly explain the reasons for your choices.

A: Linear programming helps in attaining the optimum use of productive resources. It also indicates how...

Q: please don't write in cursive thank you!

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Q: Numerical analysis questions. step by step please!

A: Since you have asked multiple question, we will solve any one question for you. If you want any spec...

Q: Which of the following subgroup of S_3 is not normal? Improper subgroup A_3 None of them Trivial su...

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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: C and D

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Q: Which one of the following statements is true? * A subspace of a discrete space is not necessarily d...

A: Discrete space means all the subset of X is an open set. Indiscrete space means only empty set and w...

Q: Proof, if it is possible

A: Prove that for z=tgxy+xy, x2∂z2∂x2-y2∂z2∂y2+x·∂z∂x-y·∂z∂y=0.

Q: a

A: Part 1 1) a) A = {x | x is the letter of the word discrete} Hence A = {d , i , s , c , r , e , t}   ...

Q: 2 Solve the following differential equation: 2.1 y" + y' = 0, y(0) = 1 and y'(0) = -2. 2.2 y" + 4y' ...

A: See the attachment

Q: SHOW ALL WORK!!! Use Heron's formula to find the area of the following triangles with the lengths of...

A: Given  The lengths of sides of the triangle is  a=27.5,b=12.5 c=36 To find the area of the triangle

Q: would someone mind helping me with all parts of this question please

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Q: ODE and Dynamical System

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Q: Give the distributive laws of concatenation over union Prove the left distributive law of concatenat...

A: Distributive laws of concatenation over union Left distributive law of concatenation over union  L(M...

Q: A set X with one element has topologies. * O Two One O Infinite Zero O O O O

A: Let X={a}. Then P(X)=T={Ø , X} is the only topology on X.

Q: The graph of wheel denoted by W, is obtained when an additional vertex is added to cycle Cn, for n >...

A: We need to match each statement (a) - (d) to and a graph (1)-(5) such that the chosen graph satisfie...

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

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