Theorem 3: If< S, >converges to l, ther any subsequence of< S,>also comverges to l.

Q: Ture or False planar graph is a graph without loops. trees are not planar graphs. Every simple plana...

A: Since you have asked a question with multiple subparts so as per guidelines we will solve the first ...

Q: 5. If two lines are cut by a transversal, which of the following conditions is necessary to say that...

A:   When two lines are cut by a transversal, the angles which occupy the same relative position are ca...

Q: Please answer if the following statements are True or False 1) inverse of sum of 2 matrices equals ...

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Q: e) Suppose that S is an equivalence relation on a set A = {1,2,3, 4, 5, 6, 7}. If 4 e [3] n [5], the...

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Q: Evaluate |P(A)| if A={n: n is a prime number from 1 to 100}

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Q: Eight basketball teams are competing for the top 4 standings to move up to the semi- finals. Find th...

A: Given: Eight basketball teams are competing for the top 4 standings to move up to the semi-finals.  ...

Q: Anne and her siblings are planning to throw a surprise party for their parents' 50th wedding anniver...

A: To decide whether the given statement is permutation or combination. 

Q: Evaluate: 5 • P(6,5)

A:

Q: en: Hồ a HE, HP is an angle bisector of 20HE H- ve: ΔΟΗΡ ΔΕΗΡ of: Statement Reason но в НЕ Hồ HE | 1...

A: In this question, the various properties are applied to prove the congruency between two triangles. ...

Q: ) Given f(x)=x+ 7 find g' (x).

A: We are given a function f(x) and we need to find the inverse

Q: Exercises 1. Let f be defined on (0, 2 7) by the rules: t, f(t) = 1, 1<t<T, 2 T-t, T<t< 27. Outside ...

A: First, note that this is the case of a multiple-question post having two or more unrelated questions...

Q: a) Is f is one-to-one? If yes, then explain why. If not, then provide a counterexample. b) Is f onto...

A: This is a problem of set/function.

Q: Conversely, if T :V V is a linear operator such that T2 = T, show that V = kerT O imT. [Hint: 3.b, v...

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Q: dy + 4y dx 31 with y W differen ナけ:

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Q: Selecting classroom officers for president, vice president, treasurer. Combination Permutation

A: We use permutation when order of selection matters and combination when order of selection doesn't m...

Q: EX:what is L sin²t

A: First we have, sin2t=12×2sin2t       =121-cos2t Now L1=1s,Lcos2t=ss2+22=ss2+4 then we find Lsin2t

Q: If z- tan and z- u + and y- -, fnd the folowing partal derivatives using the chain rule. Enter your ...

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Q: Q4 Let f : R → R be the function defined by 1 f(a) = 2" %3D a) Is f is one-to-one? If yes, then expl...

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Q: Solve the differential equation by using power series method? y" - x³y = 0

A: We have given differential equation, y'' - x3y = 0 Let , y = ∑n = 0∞anxn be a solution of differenti...

Q: Bobby applied for a landline phone in his new house. He was given the number 7-630- 8380. How many d...

A: To find The distinguishable permutations are there in Bobby Telephone number. 

Q: Q6: Find the eigenvalue for 3 -2 01 8. -6 B =-6 2 A = -2 3 7 -4 -4 3

A: we have given the matrices A=3-20-230000     &amp;  B =8-62-67-42-43 we have to find the eigenvalue ...

Q: Considerthe linear DE y-y=4e". According to the undetermined coefficient method, the particular solu...

A: The given linear differential equation is y"-y=4ex. The general solution of the differential equatio...

Q: Find the number of words of 5 letters such that each can be formed with the letters of the word "CHR...

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Q: d) Let X = {1,2,3, 4}. Define a binary relation R on subsets of X by ARB if and only if A and B have...

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Q: If x<y, prove that x<(x+y)/2<y?

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Q: Let R be the relation on Z defined by x Ry if and only if x+ 3y is even. Prove that R is an equivale...

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Q: COMBINATIONS Evaluate each expression. 1. C(22,20) 2. C(12,8) 3. C(24,5) 4. C(20,16) C(20,5) 5.

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Q: What is the general solution to the differential equation (2xy – e")dx + x(x – e')dy = 0 ? 2y – x2 +...

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Q: Determine if Ve dx is convergent or divergent. Evaluate if convergent. x2

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Q: 14. Two cars start from rest at a traffic light and accelerate for several minutes. The graph below ...

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Q: c) For a set X = {1,2,3, 4, 5}, let P be the partition {{1,3, 4}, {2}, {5}}. In the equivalence rela...

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Q: 4. Find the number of non negative solutions to x + y + z = 21. With the conditions that x > 3, y > ...

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Q: 3. Find the inverse Laplace Transform of the g

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Q: Forming lines from 7 given points with no three points are collinear. Combination O Permutation

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Q: Minimize F(y, u) = f¿u²(t) dt under ý = -2y + u with y(0) = 1, y(1) = 0. Is your solution unique?

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Q: How many 4 digit numbers can we make using the digits 2, 5, 7, and 9 without repetitions? O Combinat...

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Q: An auditorium has rows of seats that increase in length the farther the row is from the stage. The f...

A: Given, an auditorium has rows of seats that increase in length the farther the row is from the stage...

Q: Solve the initial value problem: dy = x(1+ y)²; dx y(0) = -3

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Q: Find the determinant: a) Using Pivotal Element Method only in all the steps b) Using Chio's Condensa...

A: Given:M = 07-7-5   661411-8-70-23   5-1341-63953   1

Q: e. Write out the standard form a standard convex optimization problem and show that the feasible set...

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Q: -号。 - 4X u (x,o) =3 e 2 , ニ0 y2 Ansl ux,y) = 34(メ+) Ans.l ucx,y) 3 e %3D

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Q: 3. Consider the expansion of (x + 2)°. a. Write the full expansion using the binomial theorem. b. Fi...

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Q: Parametrize the following two curves in R and find their arclength. (1) the intersection of the cyli...

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Q: The appropriate integrating factor for the following differential equation (2xy? +xy²)dx + 4x²ydy = ...

A: We have given differential equation is , 2xy2 + xy2dx + 4x2ydy = 0 Compare with, Mdx + Ndy = 0 Here ...

Q: blem 2 Let A > 0 and A + na. y" (t) +X'y (t) =Dan cos (nat) n=1

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Q: Use induction to prove Vn > 1: 3| (n³ + 2n).

A: Proof :-

Q: 5. Evaluate z z = tanh(4-j5)

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Q: A refrigerator room for storage of ice cream will be designed as room with a square floor and a heig...

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Q: Let f(x) = ∥x∥. Find out its conjugate function f ⋆ and prove your conclusion.

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Q: Find the solution to the initial-value problem. y' = −6x tan(y), y(0) =  ? 2 y =

A: Solution:-