When the diagonals of a tetradecagon are drawn, how many triangles are formed? 10 12 13 14

Q: United Metal, Inc., produces alloys B1 (special brass) and B2 (yellow tombac). B1 contains 50%…

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Q: Express the given system of higher-order differential equations as a matrix system in normal form.…

A: We will convert the given system to a system of first order differential equations in matrix form.

Q: Find the Laplace transform of the following, 6/(s^2+4)^2

A: Introduction: Through inverse Laplace transformation, one can transform a function that lies in a…

Q: The weight or cost of a path in a weighted graph is the sum of edge weights of a path. The shortest…

A: We will use the algorithm of finding the shortest path between s to t.  Option (b) is a correct…

Q: Find the amount of each payment to be made into a sinking fund which earns 7% compounded quarterly…

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Q: A business includes a monthly promotion funding of $154000. The commerce division calculates that if…

A: Given,z =f(x, y)= 340x0.9y0.9  subjected to x+y = 154000 let, g(x, y) = x+y-154000=0

Q: 14. Use the curve sketching procedure to analyze the function. a. y-x'+x*-20x

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Q: 2. (D² – 4)y = 0 when y(0) = 0, y' = 3 %3D

A: To solve the given differential equation.

Q: The following payoff table for a maximization problem is available. Decision Alternative State of…

A: By analysing following payoff table  We see that

Q: L{t(u0 – u1) + t²u1}.

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Q: How many different committees can be formed from 11 teachers and 42 students if the committee…

A: Permuation: The arrangement of objects or numbers is called a permutation. Here, the order of the…

Q: Find the volume of the solid bounded by the surfaces f(x,y) = 4x2 + 4y2, z = 0 and 6x2 +6y2 = 9.…

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Q: Determine the difference approximation of the problem (1+x²)-y = x² + 1, y(-1) = y(1) = 1 Find the…

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Q: Show that y=x² is asolution to: xy- 3xy'+4y=0, and then use reduction of order to find a second…

A: Linearly independent solutions of the differential equation

Q: A student's grades for a math course are given below. 1. Percentage of Final Grade Student Grade…

A: Solution

Q: The table and scatter plot show the number of hours worked, x, and the amount of money spent on…

A: The equation of line of best fit is given below. y=0.4x+23.39

Q: Let S = {r, u, d, a} be a set of vectors. If x = 5r + 2u + 5d, determine whether or not S is…

A: To find the following blanks .

Q: Given the set S = {1,2,3, 4, 5}, and the permutation Question 6. group (S5, o). (a) Define the…

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Q: Let's assume that we have the following system of linear equations Ax = b where 5 3 A = 3 -2 -3 2 8…

A: Jecobi's method  for the system AX=b,  Where all the diagonal elements of A are 1, and A is…

Q: By exploiting the separability property compute the 2 D Discrete Cosine transform of the following…

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Q: a) Given the following Linear Programming (LP) problem: Minimize z = 2x, + 3xz Subject to x, + 3x, 2…

A: It is a Linear Programming problem and I solved it using Two-Phase method in the next steps.

Q: Suppose that JB Cos. has a capital structure of 78 percent equity, 22 percent debt, and that its…

A: Given:   Suppose that JB Cos. has a capital structure of 78 percent equity, 22 percent debt, and…

Q: Question 3. Show your working in each case: (a) Find all the cluster points of the set M = {÷ +;: m,…

A: Note:- Cluster point :- Let S be a sequence, A point p∈S,  is called Cluster point of S if the…

Q: A group of 175 college students who took math last term were interviewed. They were asked whether…

A:

Q: Suppose p and q are distinct prime numbers. Find the number of positive integers r < pq such that…

A: We use Exclusion - Inclusion principle to solve this problem.

Q: 2. Determine if the vector field, F = (2ry- 22)i+(r² + 2z)j+ (2y-2rz)k, is conserva- tive. If the…

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Q: solution of the di dy x + 4y = * x2

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Q: (a) Let G be any group. Let H <G and K < G be subgroups with |H|= |K| = p, where %3D is prime. Show…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: A region is in the middle of a drought. The table shows the number of homes without water for each…

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Q: 2. Prove that if f be a nonnegative measurable function on E. Then f = 0 if and only if f =0 a.e. on…

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Q: Let f(2) = . Use the polar form of the Cauchy-Riemann equations to determine where f is…

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Q: 11. Determine whether each of the following statements is true or false. If a statement is true,…

A: To find whether the given statement is true or false.

Q: Determine if the function is continuos. If the function is not continuous, find the x-axis location…

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Q: Find approximate value of the following integral by using the trapezoidal rul 10 " 10 sin(20x²)dx…

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Q: Find the area of the shaded region. r = Vcos 20 r = 9 cos 0 NOTE: Enter the exact answer. A

A: For the polar curves r1=f1(θ) and r2=f2(θ) , where r2&gt;r1 in the limits θ=α to θ=β, the area…

Q: Which method is more correct?

A: Solution

Q: Let r(t) = (t2, 1 – t, 4t). Calculate the derivative of r(t) · a(t) at t = 9, assuming that a(9) =…

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Q: nd and classify the eguilibriam solutions to: dy -y° - ly dx 2

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Q: Consider the initial value problem y' = x(y+ x) – 2, y(0) = 2 Use Euler's method with step sizes h…

A: Since you have asked multiple questions, we will solve the first one for you. If you want any…

Q: Mr. and Mrs. Wang want to buy a house that costs $745,000. They plan to put 20% down. They are…

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Q: Find the rectangular equation of the line given by the parametric equations below. Then graph the…

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Q: The set B = {2 – 4x?, 8+ 3x – 16x2, 21 + 9x – 40x²} is a basis for P2. Find the coordinates of p(x)…

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Q: Q1-Find the derivatives of the following funetions using the defir 1. y=x-x 2. y-3/5х 3. y=x 4.…

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Q: James wants to buy a car that costs $14,550. The dealership will finance the car for 5 years, at…

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Q: 2. Use Laplace transform to solve y" + y = 6(t – 27) cos(t) y(0) = 0, y'(0) = 1 %3D %3D

A: We have to find the solution of the given initial value problem. y"+y = δ(t−2π)cost With initial…

Q: Using Eigenvalues and Eigen Vectors shve Cthe System: *C) =4メ+ y'4) =-2x *24 A=

A: Use the given matrix.

Q: Q1. Decide which of the following functions are linear transformation? T hope for a clear solution…

A:

Q: Let N(x) be the statement “ x has visited Palawan.” Where the domain for domain consists of the…

A: N(x) : x has visited Palawan Domain : students in your school

Q: Problem 4. (i) Verify that is a solution of the Black-Scholes partial differential equation…

A: Given that fS,t=e2r+3σ2T-tS3                               1 we have to verify that equation (1) is…

Q: Part 2. Prove that the following are equivalent A. by Constructing a truth table 1. [p V (~p ^q)] +…

A: We will use truth tables and rules of replacements here