Given the functions A and B, can you prove that if B ◦ A is bijective, then A is injective and B is surjective

Q: 4. Prove the following. Use full sentences. Equations in the middle of sentences are fine, but do…

A: (a) (n+3)2 is odd for every even integer n We will prove that (n+3)2 is odd whenever n is an even…

Q: 5. [10 marks] Let G = (V,E) be a graph, and let X C V be a set of vertices. Prove that if |S||N(S)\X…

A: We prove this by using Hall's Marriage Theorem, which states that a bipartite graph G = (V, E) has a…

Q: Refer to page 9 for a problem requiring finding the tangent plane to a given surface at a point.…

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Q: Question 2 please

A: Explanation of Question 1 :-Explanation of Question 2 :- Explanation of Question 3 :-

Q: Refer to page 5 for a problem requiring finding the critical points of a multivariable function.…

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Q: 2. Find the Antiderivative of the Function Go to page 40 of the document for the integration…

A: Step 1: I retyped the URL  Step 2: File not found Step 3: The owner may have deleted the file or has…

Q: The table shows the average price per pound for honey at a store from 2014 to 2017. Describe the…

A: Here is the data I will be using the show you how to describe the relationship between the…

Q: Solve y"+3y+2y= 0, y(0) = 3, y'(0) = -1 y(t) =

A: The given differential equation is a second order homogeneous linear differential equation with…

Q: 4. In each case, sketch the closure of the set: (a) -л 0.

A: Step 1: Step2 : Step 3:Step4:Step 5:Step 6: If you have any further doubt feel free to ask me.

Q: Please help me with this in matrix please

A: Step 1:This problem does not exhibit any special cases like unboundedness, infeasibility, or…

Q: Pls help kindly

A: If you have any help please let me know in comment box thankyou.

Q: Refer to page 1 for a problem involving proving the distributive property of matrix multiplication.…

A: Step 1: Provide a picture or screenshot of the problem Step 2: paste the image of the problem

Q: дх 2. ( i) Compute af of the following function by using the chain rule, and provide the dimensions…

A: Detailed explanation:

Q: 6. (15 pts) Given is point P in the exterior of a circle. From P, a segment is drawn that is tangent…

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Q: 2. Verify the Solution to the Matrix Equation Check page 28 of the shared document for the matrix…

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Q: Find a least squares solution of Ax = b by constructing and solving the normal equations. = 21 1 1 b…

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Q: Let l=2L\sqrt{5} and P=(1,2) in the Poincaré plane. Find the uniqe line l' through P    such that l'…

A: We have to find a line l' in the Poincare half-plane that passes through P = (1, 2) and is…

Q: If you are using chatgpt leave it plz Already got wrong chatgpt answer .

A: Explanation:

Q: Please help.

A: Step 1:Step 2:Step 3:Step 4:

Q: 6. Norms and Metrics • Show that the function || || norm on Rn. = √xT Ax, where A is a positive…

A: Approach to solving the question:Norm DefinitionFunction:  ∣∣x∣∣=xTAx​PropertiesPositive…

Q: Please help ASAP on all asked questions. Please show all work and steps. Please circle the final…

A: 1. Marcella Family's Monthly Grocery BudgetThe family spends $185.75 per week. Since a month has an…

Q: (4) Let X = {(a,b) : a,bЄ Z, a on X given by (a, b) R(c, d) if ad 0,60}. Show that the relation R =…

A: To prove R is an equivalence relation, we need to show that it satisfies the three properties of an…

Q: Refer to page 81 for a proof involving the uniqueness of solutions for a given ordinary differential…

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Q: Please help.

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Q: Equilibrium Equations: Two-dimensional 2.28 Ra= Rc= 2.29 (change force to 600N) AC= AB= 2.33 CD= AC=…

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Q: numerical ana

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Q: 2.- Solve the following Homogeneous Differential Equation (xy + 3y²+x²)dx − (x² + 2xy)dy = 0 -

A: The value of the differential equation is tan−1(xy​)+ln∣1+x2y2​∣=ln∣x∣+C0​

Q: 4. Find the Critical Points of the Function The problem is presented on page 13 of the document. Use…

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Q: No chatgpt pls will upvote Already got wrong chatgpt answer

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Q: 4. Find the Eigenvalues and Eigenvectors of the Symmetric Matrix The symmetric matrix problem is…

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Q: 13. Check to see if the following set of functions is orthogonal on the interval [-3, 3] with…

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Q: Show the steps

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A: 19. (a) Partitions of a number represent ways to express the number as a sum of positive integers.…

Q: Consider the sequence of numbers an given by a1 = 1, and an+1 is the anth prime. Thus the sequence…

A: Implementationdef is_prime(num):   """Check if a number is prime."""   if num < 2:       return…

Q: Solve the following boundary value problem using method of separation of variables: 1 ə ди r dr 70%…

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Q: solve it using augmented matrix. Also it is homework

A: Step 1. Balancing the EquationAssign oxidation numbers to each element:H2O2: O has an oxidation…

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Q: 2. Given f(0) = (2 cos 0)² - 3sin²0. 1 a. Show that f(0) = ½ + ½ 7 +-cos cos 20. 2 2 b. Hence, find…

A: a.)f(θ)=(2cosθ)2−3sin2θf(θ)=4cos2θ−3sin2θApply the identity…

Q: Dear expert already got wrong chatgpt answer No chatgpt will upvote.

A: I hope this helps.Thankyou Please do rate

Q: If m<RST=(12x-1) m<RSU(9x-15) and m<UST=53

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Q: 6. [10 marks] Let T be a tree with n ≥ 2 vertices and leaves. Let BL(T) denote the block graph of T.…

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Q: Consider the weighted voting system [18: 15, 8, 3, 1]Find the Banzhaf power distribution of this…

A: The Banzhaf Power Index is a measure of the power of a player in a weighted voting system. It is…

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Q: You can add the two forces together to get the total force at each joint.

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Q: Suppose that a share follows a discrete time log-normal process with initial price £150, and…

A: In this solution, we modeled the stock price using a log-normal process and calculated the…

Q: Dr Fogg is quoted the following market prices VT for T-year unit zero-coupon bonds as well as the…

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Q: (d) Consider the sequences (xn), (yn) defined recursively as follows: Xn+1 = xn2yn, i. ii. n,…

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Q: 4 The plane 2x+3y+ 6z = 6 intersects the coordinate axes at P, Q, and R, forming a triangle. Draw a…

A: The points P, Q, and R are the points where the plane intersects the x, y, and z axes respectively.…