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Q: How to prove the Regular expression identities: (x + y)* = (x*y)*æ*

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Q: 1-cos5h Evaluate ļim h→0 cos7h-1'

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Q: Find the extreme values of f(x,y) = 3x + 2y? subject to the constraint x + y? = 1.

A: Lagrange multipliers method: First, solve the following system of equations: ∇fx,y=λ∇gx,y. Then, so...

Q: 1 2 3 4 876 5 M = 1 2 3 4 100 1 1. Is M3 defined? (yes or no) 2. If M3 is defined, explain how you k...

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Q: Find the round-off error of the following using 5 significant digits: 1. 1 3 2. tan 150 3. 1 — п 4. ...

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Q: Find an integer a such that a 400 = 1(mod 3911).

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Q: Find the derivative of the function f(x) = e(2²-3z).

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

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Q: 5 The graph shown in the Figure is polygon * 13 12 11 10 9. 8. 7 6 4 3 1 2.0 3.0 4.0 5.0 6.0 7.0 8.0...

A: the graph in the figure represent the Histogram.    

Q: (V) x(1+)> ニ

A: NOTE:Kindly repost the other question as a separate question. 

Q: (b) Find the area of the triangle whose vertices are A(0,0,0) ; B(1,1,1) and C(0,2,3). 1 (C) Find th...

A: Given (b) The vertices are A0,0,0, B1,1,1, C0,2,3 c(1) y=1x2-1 c(2) y=9-x2

Q: 2 31-1 0] 0? 1. What is the dimension of the null space Nul(A) of A = 0 0 0 0 0 %3D

A: The given question is related with the null space of a matrix. Given that,                 A = 231-1...

Q: 2. Determine one real root of 2xcos2x – (x – 2) = 0 on the interval (2, 3). How many number of itera...

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Q: Find a non-trivial, proper normal subgroup of the dihedral group Dn-

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Q: A management consulting firm has four types of professionals on its staff: Managing consultants, sen...

A: The complete solutions are given below  

Q: Describe the domain of the function f(x, y)= In(6+x-y). 4. {(x, y): y<x-6} {(x, y): y<x+6} {(x, y): ...

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Q: Determine which of the following transformations are linear transformations. OA. The transformation ...

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Q: Let A be compact and U C A be closed. Prove that U is compact.

A: The complete proof is in given below  

Q: y>x-1 is not function صواب ihi

A: Given: y≥x-1 is not a function   To determine: If the given statement is true or false.  

Q: Find the parer series expansion Of tete -

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Q: ( n°x, 0<x<1/n fm (x)={ --n²x+2n, 1/n<x<2/r ( 0, 2/n<x<1 uniformly convergent on [0, 1}

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Q: Determine the point/s of discontinuity, if there is any, and the type of discontinuity at that point...

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Q: 12. a. A is diagonalizable if A has n eigenvectors. b. If A is diagonalizable, then A has n distinct...

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Q: A management consulting firm has four types of professionals on its staff: Managing consultants, sen...

A: We can calculate the average of hour rate and number of hours by the formula: Mean/Average = X1*F1 +...

Q: Evaluate each expression if x=-2, v = 5, and z=-3 3x - 2x+ y H,W 7. -)3D0.159090909 - 2z(x+2xy) 44

A: Given expression: 3x2-2x+y-2zx+2xy Given that x=-2, y=5 and z=-3

Q: Solve the following non-homogeneous DE y"+6y*+9y'=(x-2)e"

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Q: let (M,,+,*) be a ring of 2×2 matrices and (R,+,*) be ring of real number such that f:R-M, de find a...

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Q: Q2: find the integral of trigonometric function cos sin* dx

A: Given the integral is ∫0πcos5xsin4xdx

Q: Select ALL possible answers. * Which of the following is/are true of f (x) = x²(x + 3)? A. The funct...

A: A function is said to be continuous on an interval when the function is defined at all the value of ...

Q: O Let (R, +) is aring. and f:R>R defind as XER Show that f is isomorphi'sM and is said tobe identity...

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Q: Prove by mathematical induction

A: The principle of mathematical induction is a technique or method that is used to prove the statement...

Q: 15. Find the eigenvalues and bases for the eigenspaces of A A =

A: The given problem is to find the eigenvalues and eigenspaces of the given matrix A.

Q: The most frequently occurring statistic * .measurement is the arithmetic mean True False O O

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Q: Problem 3. First verify that y(x) satisfies the given differential equation. Then determine a value ...

A: The given question is related with differential equations. Given that,                   y' = x - y ...

Q: L{S t? cos t dt}

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the 7th question.  Please s...

Q: Let T: R? - R? be a linear transformation that sends the vector u = (5, 2) into (2, 1) and maps u = ...

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Q: The rationalisation factor of 2 /3, is a) 2-3 b) 2-V3 d) 2+3 ) V3-2 3.

A: Note:- As per our guidelines, we can answer the first of this problem as exactly one is not defined....

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: Tyler’s bag of shells weighs 4.97 pounds. He finds 2 stones that weigh the same as each  other and a...

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Q: Let us define - if •sxst- (GR) ther wise la) Calculate the pointwise limit fen)=lim f,cx) b, We woul...

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Q: Prove that a closed convex set in R" has a finite number of extreme points if and only it is the int...

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Q: Let a = (1,2, 3), b = (1,–-1, 2), c = (1,–2, 4). (a) Find (a x b) x c (b) Find (c. b)a – (c- a)b. (c...

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Q: Let us define (xGR) ther wise la) Calculat the pointwise limit fem)=lm Pacn) (b) We would Like to ca...

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Q: For the 5 - 7 below, some of the statements are true and some are false. Prove each true statement a...

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Q: The directional derivative of f(x, y, z) = xyz at point (-1, 1, 3) in the direction of vector î - 2j...

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Q: Call a set A CR clopen if it is both open and closed. Prove that the only clopen sets are Ø and R.

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Q: consider the following system of equations: x-3y+z=4 2x-8y+8x=-2 -6x +3y -15z=9 Use Gaussian elimina...

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Q: An ingot of mass 1,148 kg contains copper, tin, and lead in the ratio 9:4:1. Calculate the value of ...

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Q: 7. (a) Write the following in reduced row echelon form. Find a basis for the (b) nullspace, (c) row ...

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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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