If there are 3 roads from Town A to Town B and 4 roads from Town B to Town C, in how many ways can one go from Town A to Town C and back to Town A, through Town B, without passing through the same road twice?

Q: Question 5. Show that () +2 +3 3 = n2"-1 +n Hint: you can use property 4 and 5 in the lecture.

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A: Consider the figure below :

Q: 3) If A = 2x²i – 3yzj + xz?k and ¢ = 2z – x³y, find A - Vo and A x V¢ at the point (1,-1,1). ww. 4) ...

A: A=2x2 i-3yz j+xz2 kA(1,-1, 1)=(2, 3, 1)ϕ=2z-x3y∂ϕ∂x=-3x2y∂ϕ∂y=-x3∂ϕ∂z=2∇ϕ =∂ϕ∂x i +∂ϕ∂y j+∂ϕ∂z k∇ϕ =...

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Q: 6x120

A: To evaluate the given expression.6×120

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A: solution of system by Gauss elimination.

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Q: State True or False: The Inverse exist only for non-singular matrices. True False

A: Given statement is "True"

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A: Find mean

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A: Take the log both sides and solve for x.   

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A: Since you have asked multiple part question, we will solve the first 3 part of the question for you ...

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A: Find the mean of the data set

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A: Frequency table or histogram is created by making group of some datas. 

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Q: Let A = . Knowing that matrix A has an eigenvalue equal to 1, a basis of the eigenspace E1 correspon...

A: Option C

Q: If A is an invertible square matrix then: * (A^T)^(-1) = [A^(-1)}^T 'A^T)^T = [A^(-1)]^T (A^T)^(-1) ...

A: As we know that  Value of Matrix are same when we first take it inverse then it's transpose and vice...

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Q: x + 3 > -1=

A: Given inequality  x+3>-1 subtract 3 on both sides x>-4 x∈(-4,∞)    

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Q: Exercises 21 D-24 D: Critical Thinking The graph of a polynomial f(x) with integer zeros is shown in...

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Q: X-5)(x^2+5m+6) Perform the given operation and simplify.

A: Given (X-5)(x^2+5m+6)

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A: Given equations:  ix1-ix2=-2------(1)                                2x1+x2=1-----(2)multiply equati...

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Q: Given an isosceles trapezoid ABCD whose diagonals are AC = 5x + 13 and BD = 11x-5, %3D determine the...

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Q: 1. Calculate the answer, in correct significant figures, of the expression below: antilog(2.580) log...

A: Find your answer below 

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Q: For a matrix A, B and identity matrix I, if a matrix AB = | = BA then: All of the choices A is inver...

A: Answer if a matrix AB=I=BA  ABB-1=IB-1  A=B-1 Similarly BA=I  B-1BA=B-1I  A=B-1  Matrix A is the inv...

Q: For the function f(x) = 4x- 3, evaluate and simplify. %3D f(x +h) - f(x) | %3D

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Q: (b) ( 2y°z

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Q: iven the General Exponential Function: y=c•a* .What happens when 1) a = 0; 2) a = 1; 3) 0 1

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