8. Prove that a matroid is uniform if and only if every circuit meets every cocircuit.

Q: Find the Jacobian of the transformation x 2u, y = 2uv and sketch the reg

A: (a) Given,             x=2u, y=2uv  

Q: and v= x2y% if z- fcx,y) where show that dz dv u=X-y 出。是、会 dy 24

A:

Q: u(0, t) = u(2, t)=0 u(x,0) = r sin(rr)

A:

Q: Given [1 4 1 -3 -1 A = 3 4 -6 8 0 -1 3 Find a basis of the range of A.

A:

Q: Prove, using an element-chasing argument, that {15n : n E Z} = {3n : n E Z}N{5n : n E Z}.

A:

Q: Problem 10.1.2. Let (xn), (yn) be sequences as in the NIP. Show that for all п, т € N, zn < Ут-

A: see attached image

Q: Solve the problem following Polya’s Four Step Method.     Joyce invited 17 friends to a dinner part...

A:   Step (1) Understand the problem Joyce invited 17 friends Joyce has number 1 Other has a number fr...

Q: Given the points (x,y): (2,4), (3,7), (6, 5), (9,10) find f(8) using quadratic splines method.

A: Given that the points are x,y:2,4,3,7,6,5,9,10 We have to use quadratic splines method to find the v...

Q: Determine whether each of the following statements is true or false. You do NOT need to explain. Giv...

A: This question related to topic matrix of linear algebra.

Q: Problems for Banach spaces 1. Check that the following functions on R are norms: 1/p a) | (1, 12) ||...

A:

Q: 5? 5 5*| The value of 5' 5 5 is: (a) 5? (b) 0 (c) 513 (d) 5

A: In the given problem we have to find the value of the determinant.  We find the value of the determi...

Q: 9. Let V be a set consisting of a single element z. De- fine addition and scalar multiplication on V...

A: Given :  V is a set consisting of a single element z with the addition and scalar multiplication are...

Q: Eliminate the parameter for the given parametric equations to write an equation in the form of y =f ...

A:

Q: Devise an algorithm that finds the sum of all the integers in a list.

A: We will write an algorithm that finds the sum of all the integers in a list

Q: 4. Use the definition of "f(x) is 0(g(x))" to show that 2* + 17 is O(3*).

A:

Q: 9. A palindrome is a string that reads the same forward and backward. Describe an algorithm for dete...

A: A palindrome is a string that reads the same forward and backward Input: x1x2x3 . . .  xn , a string...

Q: Evaluate the line integral fF. dr, where F(x, Y, z) = 4xi – 3yj + 3zk and C is given by the vector f...

A:

Q: Find an equation of the sphere satisfying the ff. a. The vertices of a cube are on the sphere, side ...

A: As per the question we are given some specifications of a sphere, from which we have to find the dif...

Q: Verify Green's theorem in plane for (x - 2xy)dx + (xy+ 3)dy where c is the boundary of the region de...

A:

Q: Given y-5y" – 25y" + 125y' = t² +9+ t sint, determine a suitable form for Y (t) if the method of und...

A: To determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. 

Q: Calculate -1- 3i. Give your answer in a + bi form. Give the solution with smallest positive angle.

A:

Q: Learning Competency: Determine the relationship between differentiability and continuity of a functi...

A: Option C claim ,evidence and reason

Q: Find the solution. (x+e")dy – dx=0 x=ce" + ye" B y=ce"+xe x=ce"+ ye D y=ce"+ ye

A:

Q: A piece of wire of length 67 is cut, and the resulting two pieces are formed to make a circle and a ...

A:

Q: Find all distinct eigenvalues of A. Then find the basic eigenvectors of A corresponding to each eige...

A:

Q: Find the solution. dy +y= dx 1 1+e* A y = ce *-e"In (1– e*) B y = ce" +e"In(1+e*) c ye* = c+2ye "*In...

A:

Q: Using the theorem on determinants, show that a a? b b2 1 |1 A = 1 (b – a)(c – a)(c – b) - C

A: We have to show that A=1aa21bb21cc2=(b-a)(c-a)(c-b) by using the theorem on determinants .

Q: Given two lines L1 : x =t+1, y = 3t + 1, z = 2t – 1, and L2 : x = 2t – 2, y = 2t + 3, z =t +1, suppo...

A:

Q: x' 3 27 x+39 2 (2) For the function f(x): 3 4 (i) Determine the coordinates of the turning points. (...

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

Q: Bob's Bell Phone Company makes both smart and basic phones. The company has at most 320 square inche...

A: Given- Bob's Bell Phone Company makes both Smart and basic Phones. The Company has at most 320 squar...

Q: Use the properties of summation and the Summation Formulas Theorem to evaluate the sum. Use the summ...

A: The complete solution is in given below

Q: ider the function f(x) = 2x +1 on the interval [0, 2]. %3D Write down the associated Riemann sum SN,...

A: We have to find the Riemann sum using right endpoint.

Q: 1 1 1 1 1 2 2 -1 -1 1 1 3 32 1. A =

A:

Q: Given the function f(x) = cos(x) - sin(x) defined on the interval [0.0, n/2]. The angle Is In radaln...

A:

Q: Approximate the integral of 2 to 14 (x^2 + 5)dx using 4 rectangles. Use Left and Right hand for th...

A:   Approximate the integral of 2 to 14 (x^2 + 5)dx using 4 rectangles.  Use Left and Right hand for t...

Q: 3x3 Matrix Determinant 8 4 3 -5 6. -2 [7 9. -8 Find the determinant of the matrix using the formulas...

A:

Q: Using the properties of laplace transform, find [sin t sin h t cos t cosh t)

A: We have to find the Laplace transform.

Q: Find the center of the mass of a thin plate of constant density o covering the region bounded by the...

A: To find- Find the center of mass of a thin plate of constant density δ covering the region bounded b...

Q: Consider the following maximization problem. Maximize P = 12x + y – 13z subject to the constraints 1...

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Q: x ·1 = 0 Multiple Choice There are no solutions. X= 0 X= 1 X = 0 and x= 1

A: x.1=0

Q: det (A) = 1. %3D

A:

Q: given the vector field A(r,θ,φ )= sin(θ)*r + r*θ + 6*φ, find the laplacian and evaluate it at the po...

A: The solution is in given below  

Q: Using definition of Laplace transform, find F(s) if { 0 4. f(t) = e(1–2t)

A:

Q: Find the chromatic numbers of the following graph Color the graph with chromatic number of colors. U...

A: Given us a diagram so we can coloured it with diffrent colour since no two colour  can give to same ...

Q: 9. Find a pair of positive integers a<b such that a+b=557685 if possible. Ans:

A:

Q: The mass flow rate of compressed liquid water through a pump is 20 kg/s and the pressure is increase...

A: Given that mass flow rate m =  20 kg /s Pressure P1 = 10 kpa Pressure P2 = 1000 kpa P2 - P1 = 1000-1...

Q: Find the basic eigenvectors of A corresponding to the eigenvalue 2. 19 24 A = -12 -15 0 2 = 1 || 12 ...

A:

Q: Let a, b, c be positive natural numbers. Determine whether the following statement is true or false:...

A: Correct ans is  False 

Q: Determine if the graph shown below is Eulerian or Not * Eulerian   Not Eulerian

A:

Q: Make a problem that illustrates a permutation situation. Determine the number outcomes in the create...

A: Question: In a toy shop there are 11 kinds of toys are available. But only 4 kinds of toys can be pl...