. Prove that there is no distinction between contravariant and covariant vectors if the transformation law is of the form x' = a, xm + b', where a's and b's are constants such %3D that a', am = 8m- %3D

Q: Solve the given system of linear equations. (If there is no solution, enter NO SOLUTION. If the syst...

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Q: Determine whether the series of functionsE fn converges uniformly: fn(x) on D= [0,+o0). n2 + x2n fn(...

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Q: P3 (coordinates and basis) Let ra M = = 2f,b = 2g +h,c = 3g - i,d = g+i, e = 3h e g h il a) What is ...

A: Given that M=abcdefghi:a=2f,b=2g+h,c=3g-i,d=g+i,e=3h We have to find the maximum possible dimension ...

Q: Find the particular solution corresponding to the tableau. y 1 16 16 4 -5 -5 1 1 -1 10 4 24 12 12 1 ...

A: We find the particular solution corresponding to the given tableau. 

Q: The feasible solutions are because they are the solutions in which the values of all are (Use a comm...

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Q: 4.2 Linear Congruences 161 6. For which integers c, 0 sc< 30, does the congruence 12x =c (mod 30) ha...

A: Q6 asked and answered.

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Q: 2. Given the following profit-versus-production function for a certain commodity: 8 1.1 P= 200000 – ...

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Q: For any integer n, either n2 mod 4 = 0, or n² mod 4 = 1.

A: For any integer n, we prove that either n2 mod4=0,  or n2 mod4=1

Q: Identity the elements for the following set expressions given the sets below (take note that the ', ...

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Q: [Ik There exists an ordered basis B of R" such that MB(PU) =

A: Given that U be a subspace of ℝn of dimension k. Consider the orthogonal projection map pU:ℝn→ℝn of ...

Q: Evaluate the integral by reversing the order of integration. 16 dy dx y³ + 1

A: From the given problem, it is observed that the region of integration is x,y: x≤y≤4; 0≤x≤16. Draw th...

Q: 2. xty'= -x³y- csc(xy)

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Q: Consider the system of non-linear differential equations dx 2² – 2x – y? + 1, dt dy = TY – 3x. dt Se...

A: Given system of differential equation is dxdt = x2 - 2x - y2 + 1,dydt = xy - 3x

Q: Ten honors students, each from a different high school in a county are lined up in two rows of five ...

A: The main objective is to determine the number of arrangements under the given conditions.

Q: Question 15 Find the extreme values of the function subject to the given constraint. (x y, 2) = x2 ....

A: We have to find the extreme value of f(x,y,z).

Q: Given matrix : 1 c+2 d-12 A=|0 0 5 7 3 b= -2 2 and vector: a) Calculate the inverse matrix: using th...

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Q: 22. Solve the following problem for the optimal solution using simplex: minimize 20.x, + 10x2 + 1-ix...

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Q: Trace the curve of the following equations by giving the a. Intercepts b. Symmetry c. Vertical Asymp...

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts fo...

Q: Find the particular solution corresponding to the tableau. y 1 16 16 4 -5 -5 1 1 -1 10 4 24 12 12 1 ...

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Q: 22. What is the equation of the normal to the curve y = 3x² – 2x + 7 at the point (1, 8)? А. х + 4y ...

A: Solutions of both question are given below . May these help you.

Q: Consider the function f(t) = sint + cost defined on the interval –1 <t< 1. Select the option that be...

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Q: the surface area of the figure below (h=20 cm; b-8 cm). 20 cm 8 cm 8 cm O 160 cm2 O 384 cm2 O 640 cm...

A: The length of the base,  b = 8 cm And the height,  h = 20 cm And we know that,  The  area of the bas...

Q: The partially completed table below shows the ten basic solutions to the following e-system. X + X2 ...

A: we have given the e-system x1+x2+s1=222x1+x2+s2=303x1+x2+s3=42 and a partially completed table below...

Q: Simplity (A'N BnC') U (A' nB'nc)u (ANB'n c') u (ANBNC)u (ANBNC)u (ANBnc)

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Q: Determine whether the following sequence converges, and if so, find its limit. Sn! l ){ (b) {n°e >»}...

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Q: 4. Let E denote the set of all 3 x 3 orthonormal matrices whose first column is (0, 1,0)". (a) Write...

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Q: Given the following simultaneous equations: 5x1 + -5.7x2 + -1.2x3 + 2.3x4 + 9xs + 0.1 = 0 5.4x1 + 2....

A: For better understanding, we take a, b, c, d and e at place of x1, x2, x3, x4 and x5.

Q: A random variable Y have a distribution with parameter a > 0 and y, >0 it its density function is gi...

A: Given density function is f(y) = αy0αyα+1if  y &gt; y00,elsewhere

Q: Ten honors students, each from a different high school in a county are lined up in two rows of five ...

A: The main objective is to find the possible number of arrangements under the given condition.

Q: Give the definition of a rhombus and prove that the area of a rhombus is half the product of the len...

A: A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral. In a rhombus, ...

Q: For each of the following functions: (a) Find the linearization L at a = 4. (b) Use the linearizatio...

A: let y = f(x) is the function  to find local linear approximation at x= x0 we need to find equation  ...

Q: For problems 5-7 find the order of the largest cyclic subgroup of the given group. 5. Z12 × Z18 6. Z...

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Q: Determine the margin of error in estimating the population mean, u. A sample of 81 college students ...

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Q: Q1. (a) Solve the equation dy dr

A: It is given that ;                dydx = -xy The given differential equation can be solved by variab...

Q: Use the fact that the volume of a tetrahedron with adjacet edges given by the vectors u, v and w is ...

A: We determine the volume of the tetrahedron with vertices P(-5, 4,0), Q(2, 1, -3), R(1,0, 1) and S(3,...

Q: True/False. For each of the statements below, write "True" or "False" in full and justify your answe...

A: Discussion has been given below.

Q: 49) Let P(z) = ao + a1z + · ·+ anz" be a polynomial of degree n. Show that 1/P(z) has a zero of 1 or...

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Q: Use Linear Approximation to estimate Af f (2.05)-f(2) for f(x) = %3D x+I (Use decimal notation. Give...

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Q: 3S+8 2) L S42845 s428+5)

A: We need to find , Inverse Laplace Transform, of F(s) = 3s + 8s2 + 2s + 5 Since , F(s) = 3s + 8s2 + 2...

Q: Let the function f : D → R be continuous. Then define the function |f| : D → R by \S\(x) = \f(x)| fo...

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Q: Find the extreme values of the function subject to the given constraint. (x y, 2) =x2 y2.z2, x+ 2y+ ...

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Q: Find L{f(t)} using the First Shifting Theorem. Note: a, b, e, w, k and n are constants. 1. -kt 2. L{...

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Q: Consider the system of non-linear differential equations da = x coS y, dt dy = y sin z. dt Select th...

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Q: Use the Trapezoidal Rule to evaluate the integral S |r| x²dx O 2 O -2 O 1 -1

A: Given Intergral ∫-11xx2dx. We have to find the value of it by using the Trapezoidal Rule. The Trapez...

Q: Using Geometric Progression and given below,

A: The general term in geometric progression is given by an=arn-1 where a is the first term and r is th...

Q: Problem 10. Show that the mapping A: R² x R² → R defined by ((a, b), (c, d)) → ad – be is bilinear. ...

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Q: Solve the system using the inverse method. 4x + 3y = 26 4x + 2y = 20

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Q: E. Establish the validity of the arguments by completing the formal proofs by supplying explanations...

A: We have to write the reason in blank places.

Q: Use the Laplace formulas to get L{f(t)}. 6) f(t) = 1) f(t) = 2t* 7) f(t) =- 2) f(t) = 4t – 10 8) f(t...

A: Since  you have posted a multi subparts question according to guildlines I will solve first  three q...