Discrete math:  You have two vests, three hats and 14 buttons. How many outfits can you make if each outfit has a vest a hat and three buttons. Give the answer as a product and as an integer.

Q: 9 In solving certain problems involving support beams in engineering, the fourth-order differential ...

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Q: (2 -1 5, -2 2,

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Q: e**Ydx – e2ydy = 0; y = 0 when x = 0

A: ex+ydx=e-2ydydydx=exeye-2ydydx=exe3y∫e-3ydy=∫exdxe-3y-3=ex+cPut x=0,y=0, we get c=-43So, e-3y=-3ex+4

Q: Given the scalar functionf (x, y) = 2xy, calculate the line integral along the ellipse curve+ 1 from...

A: Here we have to find the value of the line integral of function f(x,y)=2xy alone the ellipse x29+y24...

Q: Use the plurality method to determine the winner of the election of the school president. There are ...

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for you...

Q: FRP PRP

A: Here we use the following method.

Q: 1. A primitive Pythagorean triple is an ordered tripe of integers (x, y, z) such that x² + y? = z?, ...

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: Estimate the value of f2 (1 – x-4x + 2x) da using 4- segment Simpson's 1/3 Rule. O 1144.5 O 2146.7 O...

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Q: Given the table below 0.1 0.2 0.3 0.4 0.5 0.6 f(x) 0.425 0.475 0.400 0.452 0.525 0.575 Approximate t...

A: This is a problem of Numerical Analysis.

Q: What is the estimate of the integral de 16x-10 sing 4-segment Trapezoidal Rule? a. 0.07694 b. 0.0767...

A: Given the integral ∫01dxx2+6x+10. We have to use 4 segment Trapezoidal Rule to find estimated value ...

Q: Solve the following and show all solution steps Note : m=2 N=8 Use the synthetic division to find th...

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Q: Why do you think having a different variable for the angle originating from the normal line is usefu...

A: We will answer this question considering the norms and conventions used in geometry and more general...

Q: Problem 4. Let n E N, prove that every prime divisor p of the number n4 – n2 +1 is of the form 12k +...

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Q: (a) Explain the difference between a Hamiltonian cycle and an Euler cycle.

A: Since you have posted a multiple question according to guildlines I will solve first question(Q.a) f...

Q: Calculate the perimeter of each of these shapes. Give your answers in exact form. a 12 cm 50° 12 cm ...

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Q: P4.3 If the 4th term of a geometric progression is 72 and the 9th term is 2304, then find the 12th t...

A: We will use basic knowledge of GP and arithmetic to answer this question.

Q: Lemma : The set of all automorphism of K from a group under composition of mappings.

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Q: (a) Prove that the set of feasible solutions of the problem is bounded. (b) Find all basic feasible...

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Q: 3. Solve the initial-value problem. (Section 4.3) y" – 2y' + y = 0, y(0) = 5, y'(0) = 10

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Q: P1.1 0 -2 0 X= 4 2 0.5 -2 3 Y= 1 Given that X + Y =Z, find- if possible-: d 4 Let A= and Z= (Show al...

A: Given : X+Y=Z a) To find the value of a, b,c,d -231a+b-12-4=1cd4a-4=4a=83+b=1b=-23-1=cc=21+2=dd=3 a=...

Q: expression is of the second degree

A: INTRODUCTION: The topic of simplification and approximation is one in every of the best within the n...

Q: 1. Find Solution using Newton's Divided Difference Interpolation (x = 301)? f(x) 300 2.4771 304 2.48...

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly rep...

Q: Error Analysis Your friend incorrectly makes this graph as an example of a linear function with init...

A: The initial value of a function is defined as follows:

Q: hmetic mea

A: Introduction: Geometric mean is the calculation of the mean or average of a series of production val...

Q: (a) Insert 4 arithmetic means between 1 and 15. (b) Insert 5 geometric means between 3 and 192.

A: To find-  Insert 4 arithmetic means between 1 and 15. Insert 5 geometric means between 3 and 192.

Q: (a) Insert 4 arithmetic means between 1 and 15. (b) Insert 5 geometric means between 3 and 192.

A: Introduction: Suppose, in a sequence, the elements are in such a way that the difference between two...

Q: 3 2+V3 Without using a calculator, find the value of cos0, giving your answer in the forma+ bV3 a, b...

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Q: Let P(x) be the statement “ x? > 1" and Q(x) be the statement “x+1 < 4". The universe of discourse c...

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Q: sing the shell method, obtained by rotating the region bounded by y = x^3, y = 8, and x = 0 about th...

A: Given, The solid is  obtained by rotating the region bounded by y = x^3, y = 8, and x = 0 about the ...

Q: 1. Find the linear regression X 0.7 0.96 1.13 1.57 1.92 0.19 0.21 0.23 0.25 0.31

A: Linear regression equation can be calculated as, y=a+bx Here 'a' is the intercept of the line and b ...

Q: of the angles

A: the angles are calculated as follows y=49°  Reason : Vertically opposite angles  

Q: Let [1 2 [1 A = 2 41 1 3 and B = |2 1 [2 2 6] 2 4] 3 [1 2] Find the elementary matrix, E such that E...

A: Two matrices A=124213102 and B=124213226 are given. We have to calculate the matrix E that satisfies...

Q: Determine the finance charge for a credit card that has the given average daily balance and interest...

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Q: Given the table below 0.1 0.2 0.3 0.4 0.5 0.6 f(x) 0.425 0.475 0.400 0.452 0.525 0.575 Approximate t...

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Q: Q: Solve the system of equations if consistent by Gauss Jordan method. x + 2y - 3z = -2 3x - y -  2...

A: We have to solve the given system of equations using the Gauss Jordan method. For this, we have to w...

Q: nstructions: Evaluate the following polynomials. Show your solutions. • By Substitution Method (6) 1...

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Q: Solve the 1st order differential equation y3+x-1 y = x dx

A: Given differential equation is y3dydx+x-1y4=x. Note that the differential equation is of the form yn...

Q: How many arrangements can be made from the letters of the word

A: Given, the word                   GODDESS

Q: 3. Consider the simultaneous equations fi(z, y. 2) = (ry- - 1) = 0, f2(x, y, 2) = (xy² +z2-15y) = 0,...

A: It is given that, f1(x, y, z)=(x2y-z3-1)=0f2(x, y, z)=(xy2-xz2-15y)=0f3(x, y, z)=(2y2+z2-6)=0   Jaco...

Q: Question 2. Solve the following differential equations: a) 4 dy dx2 dy 42- 3y = cos 2x. - dx

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Q: The graph below show's Leslie's monthly budget. Leslie's Monthly Budget other savings 11% 10% rent e...

A: Given- The graph below show's Leslie's monthly budget. To find- Which of the following are not true...

Q: 1. The maximum and the minimum values of the function f(r, y, z) = r + 2y + 2z subject to the constr...

A:    Here f = x +2y +2z …(1)and g= x2 + y2 + z2 - 9  …(2)from (1)∂f∂x = 1,  ∂f∂y = 2,  ∂f∂z = 2, from ...

Q: For each one of the following systems of linear equations: I) 20 8x1 + 3x2 12.x2 + 6x3 X1 + 10r3 30 ...

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

Q: A city's population is currently 27,000 and is growing by 5.8% each year. If this continues, in how ...

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Q: 2. A vector a has components ax = 1, ay = 2, and az =-5. A vector b has components b, = 3, b, =-1, a...

A: Given that a vector has components as ax=1,ay=2,and az=-5 and  b vector has components as bx=3,by=-1...

Q: Note: m=2 n=8 Answer the following questions a. Simplify the following polynomial and answer the que...

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Q: $3,900 is invested for 18 months at an annual simple interest rate of 14%.  How much interest will b...

A: We have to find total interest earned.

Q: (c) Let p, q and r be three propositions for which p and q are true, and r is false. Determine the t...

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Q: Prove that there is no permutation a such that al(12) a = (34) (15).

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Q: Q- What is the volume of the solid obtained by rotating the region bounded by the graphs of y = Vx, ...

A: When a closed curve revolved around a particular axis, it generates a closed surface. Volume is the ...