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Q: =3n² + 3n 2. 2 3+6+9+...+3n cam

A: We have to prove that the equation 3+6+9+.....+3n=3n22+3n2 holds by principal of mathematical induct...

Q: Con sider X={,2, --., 106? togcther with the largest 8-algebra p(X). capower set of x). Define 1 if ...

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Q: Suppose that W1, W2,. , Wm and V are all finite dimensional vector spaces over F. Prove that 2,... L...

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Q: 4 Find the dot product of [6 -2 3] -1 and 2

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Q: Determine whether the improper integrals converge or diverge. If possible, determine the value of th...

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Q: 12. Find a matrix P that diagonalizes A, and determine P-AP. 3 1 A = hp

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Q: t-3 The domain of the function f(t) = is (-v2, v2) and [3,0] %3D t2-2

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Q: (B) 84312 (C) 74412 thction (6-13): If CHEST is coded 9s 45723 and BALL is coded as 6899, the follow...

A: Given that  CHEST is coded as 45723 BALL is coded as 6899 To find the codes of some given words.  

Q: AB 10 J.

A: K-map

Q: Compute the dissimilarity matrix for the following objects name sex colour character Bella F red tam...

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Q: Alice needs 8 1/4 teaspoons of butter to bake bread. She has a thick of butter (that is 4.5 tablespo...

A: The amount of butter which Alice needs to bake cake is, 814 tablespoons. Convert the mixed fraction ...

Q: 2. Given the following possible solutions to a differential equation. A. y = 2sin (x) B. y = 2cos (x...

A: Given the differential equation yy'+2sin2x=0We have to find these following solution satisfy differe...

Q: Let A = (0,1) U (1, e²] Find the limit point(s) of A. а. b. Is A an open set?

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Q: 6. If a series £u, converges to the sum u then so does any series obtained from Eu, by +he torms in ...

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Q: Let A={x:xER and x is a solution of x²+2=0},then A is a null set ylgn ihi

A: We have to check whether the statement, "Let A=x:x∈R and x is a solution of x2+2=0, then A is a null...

Q: A rectangular page contains 65 cm? of print. The top and bottom margins of the page are each 0.5 cm ...

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Q: Q4: Solve the following integrals:- dx 4dx (1) S: (2) S: sec xesin x (3) S x sec? x dx 2+cos x

A: Note:-  As per our guidelines, we can answer the first three sub-parts of this problem. For the rema...

Q: QUESTION 4 set S = {1,2,3}, set T = {10,20,30}, set V = {a function g: S T function h: T V h(10) = a...

A: Introduction: A composite function is the composition of two different functions. For example, fx=es...

Q: Find the solution of the D.E. below: 2(2x + y)dx – xydy = 0

A: If a function f(x,y), satisfy the condition f(kx,ky)=knf(x,y), then it is called a homogenous functi...

Q: y

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Q: Question 5 Find the order and degree of the following differential equation. ду + = cos x Əx əx², əx...

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Q: If the sum of first n even natural number is 420,find the value of n

A: Problem:- If the sum of first n even natural number is 420,find the value of n first n even natural ...

Q: 10 -34 Evaluate the integral and check your an= iating.

A: Given integral is ∫ 10y34 - y3 +4y dy   Note:- 1ya =y-a   and y =y12

Q: If the sum 5+ 5(3)+5(3)² +...+5(9)* =5465 then the value of k is (a) 5 (b) 6 (c) 3 (d) 4

A: We know that 1+a+a2+a3+…+an-1=an-1a-1, if a≠1

Q: 3. To defeat Electro, Spider-Man needs to connect all of the pylons (vertices) in the graph below, w...

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...

Q: B. On the line before each item, write TRUE if the statement is correct and FALSE if the statement i...

A: To find which of the statement is true and which is false :-  Note :- {The area "a" in the graph is ...

Q: a)  Find the parametric equations of the line that is going through the point (6,9,5) and is paralle...

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Q: 6. (a) Write the following in reduced row echelon form.. Determine (b) a basis for and (c) the dimen...

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Q: [et Suppose A(t) =0 0. cos t sin t, show that A(t)-1 exists and then find it. - sin t Co t. -

A: Given- At = et000cos tsin t0-sin tcos t To Show- Show that At-1 exists and then find it.

Q: The equation for the tangent to the curve y = t+ at the point (1,3

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Q: Suppose a spring with spring constant 2 N/m is horizontal and has one end attached to a wall and the...

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Q: 4. Show that the line integral of F = [0, z] around a closed curve in the r- y plane, oriented as in...

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Q: Solve the initial value problem by using Laplace transform, y" – 3y' + 2y = 4t-8 y(0) = 2, y'(0) = 7

A: Given initial value problem is: y''-3y'+2y=4t-8,  with y0=2, y'0=7. In Laplace transform method firs...

Q: e of 4,7,1

A: Introduction: A sequence is an arrangement of numbers in a specific order. A series, on the other ha...

Q: n-1 What is the value of S4 for n=1 O 48 O 84 O 90 O 96

A: Given that an=∑n=1∞62n−1. We have to find the S4. Here, S4 is defined as follows S4=a1+a2+a3+a4

Q: 6. [0/1 Points] DETAILS PREVIOUS ANSWERS EPPDISCMATH5 9.7.024. Use the binomial theorem to expand th...

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Q: 353, Without integrating, determine whether the integral dx converges or diverges by comparing the x...

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Q: 16. Prove: If A is an eigenvalue of A and x is a corresponding eigenvector, then s) is an eigenvalue...

A: We will use definition of eigen vector to prove the result.

Q: A В C Figure 1: Graph of y (a) Apply Intermediate Value Theorem to find the smallest interval (a, b)...

A: given function y=4x5+2x4+7x2-26x+ex-4 a) apply intermediate value theorem to find the smallest inter...

Q: 15.y = C1eª×cosbx + C2eax sinbx ; a and b are parameters

A: Given:   y = C1 eax Cosbx + C2 eax Sinbx

Q: 4. Given that 5 is a primitive root of 17, find the smallest positive integer x such that 6* = 10 (m...

A: As per our company guidelines I am supposed to do only the first question kindly repost the remainin...

Q: Extract the square root of the complex number 8-6i.

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Q: Determine the number of significant digit/s in the following numbers: 1. 3.0800 2. 0.00418 3. 3.4617...

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Q: 32. Construct a nondiagonal 2 x 2 matrix that is diagonalizable but not invertible.

A: . 

Q: Question 4: Determine if the given lines are parallel, perpendicular, or neither: m: 2x+ 3y = 1 and ...

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Q: Show that if n is an integer and n³ + 5 is odd, then n is even using a) a proof by contraposition. b...

A: Proof by contradiction and contraposition

Q: Design and write a truth table using the Karnoff map What is the name of the resulting circle?

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Q: prove that C+Ā +3 C+A +B ARC Using the truth table

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Q: 3 sin? dx |- csc? x tan? x dx 4

A: To solve the given integral (3)  ∫1sin2xdx

Q: In a bolt factory, machines A, B and C manufacture 25%, 35% and 40% of total outputs, respectively. ...

A: Solution