Əw and aw Q1) Find if ar as w = x? + 3y +z, X=r- s, y= cos (r + s), z =e".

Q: dy 2- (a) Determine dx if y = V(3x2 + 2)3 – 8 . (b) State any values of x for which the function f(x...

A: Given that: y=3x2+23−8

Q: QUESTION 12 Given two sets A = {1,2,3} and B = (a,b,c} Let AxB be the cartesian product of A and B. ...

A: The two sets are defined as follows: A=1, 2, 3 and B=a, b, c Definition: The cartesian product A×B i...

Q: 2e -3e 3e If A(t) = -3e-t 4e-t | A(t)dt. -9e-t find 8e2t -4e2t 8e2t ? ? A(t)dt = ? ?

A: The given matrix is:At=2et-3et3et-3e-t4e-t-9e-t8e2t-4e2t8e2tWe have to find ∫03Atdt

Q: Solve the 2nd order differential equation. y" + 6y' + 9y = 0

A: The given differential equation is y''+6y'+9y=0 The auxiliary equation is D2+6D+9=0 solve for D  

Q: 40 15 38 35 18 20 37 22 25 16 43 13 E F Find the minimum cost spanning tree on the graph above using...

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Q: the curve x=cos

A: In this question, the concept of integration is applied. Integration Integration is a method of brin...

Q: 12. From the data below, compute for the standard time if the allowance factor = 15% (added to its n...

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Q: 4. A certain breed of rabbit was introduced onto a small island about 15 years ago. The current rabb...

A: We will find out the initial size of the rabbit population from the given exponential growth model. ...

Q: 2. Solve the following: Note : m=0 , n=0 What is the result of the expression which is equivalent to...

A: Solution :-

Q: Let R be defined on A x A where R = {(1, 1), (1, 2), (2, 3), (3, 2), (3, 3)} State a counterexample ...

A: Given that    R= { (1,1),(1,2),(2,3),(3,2),(3,3) }we have to show that .... (a) R is not relaxive.  ...

Q: Expand each of the following functions in Legendre polynomials. (a) f(x) = 1- , -1<x< 1. (b) f(x) = ...

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Q: 4. Let Pn be the nth prime. Show by Mathematical Induction that Vn > 5, Pn > 2n – 1. 5. Numerical ev...

A: The given problems are related with prime numbers. We have to solve two questions.        (4) Let pn...

Q: 6 2/5 + 1 3/10

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Q: Simplify the followin

A: In this question, the concept of Boolean algebra is applied.Boolean algebra A boolean expression is ...

Q: action in lowest terms: 24 yard

A: to convert in to lowest fraction proceed as follows to convert  fraction 24 yards to 6 yards in  low...

Q: 2. Solve the following: Note: m=2 n=7 a. What is the result of the expression which is equivalent to...

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Q: Exercise 3.4.7 Show that the center Z(G) is a normal subgroup of the group G.

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Q: (TA~ F) F) v (T

A: A logical operator on mathematical statements is a word or combination of words that combines one or...

Q: 25y 0;

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Q: 38 Divided by 3

A: A fraction is a number in the form xy (where x and y are both integers and y≠0). In the above number...

Q: -3 57 [1 3 8 24 11 and B = Compute A-B without computing A-. 6. Let A = 15 25 3 Explain and justify ...

A: Introduction: The system of equations Ax=B can be solved through matrix method. One such method is e...

Q: 6. Solve the following Cauchy-Euler equation. (Section 4.7) x?y" + 5xy' + 4y = 0

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Q: Six equal rods AB, BC, CD, DE, FE and FA are each of weight W 6. and are freely jointed at there ext...

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Q: Let an be the nth term o structed by including the

A: Given, an be the nth term of the sequence                    1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, ...

Q: Show that the centre of a ring R is a sub ring of R. And also show that the centre of a division rin...

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Q: 3) (i) Let X be a set containing elements a and b. Define T= {X, Ø, U| a E U and b E U}. This is a s...

A: Definition:  A collection of subsets I of X is said to be a topology if it satisfies following condi...

Q: "Using Definition 6.3.6 Prove the following statement Let f and g be real-valued functions defined o...

A: Introduction: Sometimes a real valued function moves towards a finite number when the variable moves...

Q: Problem 4. Let A be an nx n matrix and S = {v1,. ., Vn} be vectors in R" such that Avk = \gV¢ for k ...

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Q: Calculate the surface areas of the following and draw and label the dimensions: a. Triangle b. Trape...

A: To determine the cross section of the canal's wetted area.

Q: Differential equation. Please answer number 9. Show clear and complete details of your solution.

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Q: Express the following in the form a + bi, where a and b are real numbers: -48+14i

A: Let a+ib=-48+14i            .......(1)

Q: Determine whether the series converges. Σ V2k – 1 O The series converges. O The series diverges.

A: Solution: ∑k=1∞12k-13 Definition: If there exists N ≥k so that for all n≥N,f(n)=an is positive, cont...

Q: cos(kr)e¬lz dx, Hint: consider cases for k and I.

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Q: C along with the following operations defined: (a1, a2) + (b1, b2) =(a1 +b1 + 1, az + b2 +1) C • (a1...

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Q: et f(x) = x² and let e > 0 be given. a) Find d so that |x – 1| < 8 implies |f(x) – f(1)|< e. 5) Find...

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Q: f(x) dx =1 then the value of If f(3x +1) dx is %3D ! 1

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Q: 2. The vectors A=3ax + 2ay -2az and B= ax +4ay +6az are represented by directed line segments that e...

A: We will draw the diagram of both vectors and then find there separation of tip . Then use magnitude ...

Q: Part II. Find the Inverse Laplace Transform of the following: 10 2. F (s) s2 +4s+4

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Q: (i): y"+4y'+5y =-cosht, y(0) =0, y'(0) =1.

A: The given problem is to solve the given initial value problem using Laplace transform with given ini...

Q: a) Write The Green's Theorem in the plane relating double integrals and line integrals. (Please, don...

A: Green's theorem relates a line integral around a simply closed plane curve  C  and a double integral...

Q: In ΔBCD, the measure of ∠D=90°, BD = 13, DC = 84, and CB = 85. What is the value of the cosine of ∠C...

A: Given a triangle △BCD, ∠D=90°, BD=13, DC=84 and CB=85. We have to find the cosine of ∠C that is cosC...

Q: 6. - ydx + (x ++ Jy )dy = 0 7. (1+x*)dy + x(1+ 4y°)dx =0 8. (e* + y)dx + ( 2+ x+ ye" )dy =0 2y 9. 4....

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Q: 2) From a deck of 52 playing cards, 5 cards are to be drawn. How many sets of 5 cards are possible i...

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Q: . Find the solution 2 SP dt 5t³S³ Determine the general solution of dx =1+ 3y tanx.

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Q: If r+1| < 6, prove |r3 +1|< 76

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Q: , If P(2,-2,1) , Q(3, -1,2) and R( 3,-1,1) ノ a) find the area of the triangle determined by the Poin...

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Q: 2) Show that the interval (2, 4) is open in the upper limit topology on R. [Hint: Express (2, 4) as ...

A: We have to show that the intervel (a,b) is open in upper limit topology in R.To show (a,b) is open w...

Q: 2. Find [a* dx.

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Q: 5. Given the following utility function U(€1, c2) = [ac{ + (1 –a)c?]/ a. Find U, and U', and explain...

A: Note that this is a multipart question having 2 or more interrelated subparts. As per the company po...

Q: ral | sin 0

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.