3. Let X= {a,b,c} with and r, = {ø, X,{a,b},{b},{b,c}} and Y ={1,2,3} with topology T, = {ø,Y,{1},{3},{1,3}}. Define f:X →Y by f(a)=1, f (b)=2 and f(c)=2. Determine whether f is continuous.

Q: Q3: Construct a 3rd order Lagrange polynomial of the function f(x) = Inx.cosx where xe [1, 4]. Then…

A: Solution :-

Q: (1) Ø° = Ø and M° = M. (2) If SST, then S° ST°. (4) S is open if, and only if, S = S

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem.…

Q: from a deck of 52. A number card is one with value 2, 3, 4, 5, 6,7,8,9 or 10 so there are 36 number…

A: Solution

Q: Find a series solution about the ordinary point 0 of the differential equation y" – xy = 0. y =…

A: We can solve this by using the formula of series function

Q: Which of the followi:ng statement is false? Ta) The ring (Q, +, .} is an integral domain. (b) The…

A: Solution

Q: genral solution (D; + D,)'u = 0

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Q: Find inverse of the following matrix-: b' а A =

A:

Q: from a deck of 52. A number card is one with value 2, 3, 4, 5, 6, 7,8,9 or 10 so there are 36 number…

A: Given that there are 52 cards and among them there are number cards  Q(16) To find Probability B…

Q: 1. Using the Pappus Theorem and the fact that the volume of a right circular cone with radius r and…

A: As per company rule i am solving first one. 1. Draw the diagram as per given information, From the…

Q: Next question Costruct a glide refection of tiangle ABC using vector v and reflection lineL Choose…

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Q: (zx* xy') dx =3xy dy 2-

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Q: 1 (1 +sint) oz/gal flows into the A tank contains 420 gallons of water and 50 oz of salt. Water…

A:

Q: y"+3+2yコ36xe* 2- y"t y'=3x? 3- "+ュ-3コ=3e* ylo)=3,y)= 4-y"+zy'+5y = 4e*cos 2 x 5- ー? yro) = 3,y(0)= |…

A: As per our guidelines we are one answer only of multiple questions. So remaining questions are…

Q: 3. Consider the following formula f(x) = lim n-0 gn +1 Let D = {r E R : f(x) E R}. Calculate f(r)…

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Q: Hicw) ņ १ ि भ३७,१) (१)

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Q: W, = (S:{(4) = 3 + f(2)} W, =S: 2(3) = (1)} W, = (S:(5) = 0}. Then (a) W, alone is a subspace %3D…

A: We answer all these questions using the properties of vector subspaces. The detailed answers is…

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

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Q: (a) Let p E N be a prime number, p # 5, and let nE N. Determine the number of solutions to the…

A: First note that this question is only solvable for certain primes and not for all primes. We…

Q: Is the set (9, 20] under usual order ≤ well-ordered? Why?

A: We need to determine the set (9 , 20] under usual order is well - ordered or not. We know that , a…

Q: Let l, be the line described by the Cartesian equations • x = 1 • y-3 = 2(z-4) Let l2 be the line…

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Q: 4.1.5. (-) Let G be a connected graph with at least three vertices. Form G' from G by adding an edge…

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Q: 2) Fit a straight line to the data shown below using least squares method and compute the standard…

A: Solution by using least square method to find straight line and then use formula for residual…

Q: B Evaluate thdline integral of the field F xi+zj+ y% OSS2 over the helix r=(cost)i +(sins) j+()k for

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Q: et II¡ be the plane with Cartesian equation z=0. Let II2 be the plane with Cartesian equation x=0.…

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Q: Find the vector x determined by the given coordinate vector [x]B and the given basis B. -3 21) B =…

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Q: Question 4 Giving a test to a group of students, the grades and gender are summarized below B. Total…

A: Note: Probability of an event =  (Number of favourable outcomes for this event) / (Total number of…

Q: 4. Which of the following is definitely not eligible for like- kind exchange treatment under I.R.C.…

A: Solution

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: Given plane is 15x−5z+20y=35. We have to find the surface area of the given plane if it is in the…

Q: ). For the following ODE ( 2y + dx + (2y + x) dy = 0 i). Verify that the given differential equation…

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Q: in a graph What is depth-first search ? And give an example

A: Solution:-

Q: A small box measures 10 in by 7 in. by 3/4 in. High . Find the volume of the box.

A: Note: The volume of a rectangular box / cuboid is found by multiplying the length by the breadth by…

Q: 14. Suppose you build a Partial Least Squares model where you prepared the data by centering and…

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Q: 2. [ DETAILS 0/6 Submissions Used Determine the area that is bounded by the following curve and the…

A: 1st answered previously. Question 2) answer here.

Q: For the differential equation (x2 – 9)y" + (x – 3)y' + 2y = 0, a regular singular point is: x=9 None…

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Q: 5. Solve the following second order differential equation dy dr + 9y = 4- cos (3r) by using the…

A: given differential equation d2ydx2+9y=4-cos3x claim- solve the differential equation using method of…

Q: 5. PQRST is a pentagon. State a single vector that is equivalent to each of the following: A. PQ +…

A: Solutions

Q: Let p= (1,-1,3), q=(0,1,0), r = (1–1,c). The set {p,q,r} is a basis for I' if ?. а) с %3D3 b) с +3…

A: We know if (p,q,r) forms a basis of R3 then column vectors are linearly independent i.e det ( column…

Q: Q3) Define series symbolically: 1 1 1 1 2 3 4 1 - 4 (n+2) 1x2 2x3 3x4 nx(n+1) 1 1 -1 - 3 9 3n п 2п…

A: Solution

Q: in a graph What is K-edge connected And give an example

A: A graph, is said to be k-edge connected if even after removing k-1 edges the graph is still…

Q: Obtain the general solution unless otherwise instructed 2. y" — у' — х %3D 0 SUMMARY OF ANSWERS 2.…

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Q: Your job is to erect a telescope on the newly discovered planet's moon. You must place the telescope…

A: We will use Lagranges multiplier method to find optimal solution  To maximize/ minimize f(x,y,z)…

Q: Use method of variation of parameters to find the general solution to the equation x?y" – 4xy' + 6y…

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Q: 8. Find the Banzhaf Power Distribution of a weighted voting system with four players in which the…

A: Given,  Number of times P1 is critical = 3 Number of times P2 is critical = 3 Number of times P3 is…

Q: Plane Area in Rectangular Coordinates Find the area bounded by the given curves. Sketch the curves,…

A: This is a problem of Application of Integral Calculus.

Q: Answer was off by a factor of 2, where does that come from?

A: Where does that factor 2 come from ?

Q: I am not quite sure what you did in this question even though the answer is right. Is it possible to…

A:

Q: Fit a straight line to the data shown below using least s

A: Given, x 2 3 4 5 6 y 3 6 7 12 14

Q: Now, let dR = aR+ bJ dt dJ cR + dJ %3D dt How would you describe the relationship between Romeo and…

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Q: (x,y) = √x −y. 1. Find the domain and range of f. 2. Draw a contour map of f for k = −1,0,1. 3.…

A: This is a problem of multi-variable calculus.

Q: Solve using L-U Decomposition Method 1. 4x + 2y + z = 11 -x + 2y = 3 2x + y + 4z = 16

A: The solution is given as