Solve the following and show all solution steps Note : m=2 N=8 Use the synthetic division to find the result and reminder of dividing the polynomial ((mx) 2 – nx + 3x* + (x²) ³ – 6) By(x – (n + 2)). b. Show if (x +5 = m)a factor for the above polynomial is or not.

Q: uso a.) y – y = ty², y(0) = 1

A: We have to find the solution of differential equation.

Q: The number of solutions (x,y,z) belong to Z*Z*Z for the equation  X2 + Y2 + Z2 = 2100 + 15 is: a) i...

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Q: P6.7 Simplify the following Boolean expression using Boolean algebra laws: [Y +(XY)]'+X

A: We will just use the basic knowledge of Boolean algebra laws to simplify this expression and prove o...

Q: 1. 8rd Derivative of fC x) = 4 x³ - 8x5 1

A: We will use just the basic knowledge of differential calculus to answer this question step-wise. 

Q: 7. The current gasoline price is $3.50 per gallon, and it is projected to increase next year by 4%, ...

A: Inflation : - can be termed as the general rise in prices of all goods and services, which in turn d...

Q: [1 2 3] If Ax = b where A = 1 1 2, find x if Lo 1 2.

A: Using matrix notation a system of equations can be expressed in the form Ax=B. In this problem the m...

Q: Prove that there is no permutation a such that a'(12) a = (34) (15). %3D

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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: 2 1 31 Find the inverse of A = 4 -1 3 -2 51

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Q: HoWe By the Same way prove that s X Jr (X) ノ+1

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Q: mation to th- correct to thre

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Q: Solve the linear programming problem. Minimize and maximize z= 40x + 10y Subject to 2x +y 2 48 X+y 2...

A: We will use graphical corner points method to find optimal solution of given LPP

Q: Determine one real root of 2xcos2x – (x – 2) = 0 cn the interval (2, 3)using the Regula-Falsi Method...

A: Given 2x(cos(2x)) - (x-2)2 = 0  Let f(x)=-(x-2)2 + 2x(cos(2x)

Q: 5 If g(1) = 4, g(5) = -7, and | g(x) dx = -8, evaluate the integral ag (x) dr. Answer:

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Q: 10 13 (p). (d) 16 (b) (ii) i)

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Q: 1 and B= -1 -1 1

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Q: -3 57 [1 3 8 24 11 and B = Compute A-B without computing A-. 6. Let A = 15 25 3 Explain and justify ...

A: Introduction: The system of equations Ax=B can be solved through matrix method. One such method is e...

Q: Diode Basics 1. Calculate the current for a 3v battery and a 1.5 kilo ohm resistor. Then, calculate ...

A:

Q: Find the principal value of (2j)²j

A: The given  complex number is                                       z=(2j)2j We know that            ...

Q: Susan is drawing stars in her notebook. She draws 5 stars on the first page, 15 stars on the second ...

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Q: [0 0 0] Let A 1 4 Lo 2 3] a) Find the eigenvalues of A. b) Find a nonsingular matrix P and a diagona...

A: given A=000014023 a) find the eigenvalues of A b) find a nonsingular matrix P and a diagonal matrix ...

Q: Find the area in the first quadrant bounded by the curve y = 3x – x, the lines x = y = 2. 0 and

A: To find the area of the region bounded by the curve we use the formula Area=∫abf(x)-g(x) dx.f(x)=y=2...

Q: 1. Determine the incidence matrices of the graphs below. a) b) a (b of

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Q: 14. Gilbson Valves produces cast bronze valves on an assembly line, currently producing 1600 valves ...

A: Solution :-

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: We have to find f'(0.4) from central difference approach.

Q: 7. Prove that the SolutmM of y + y = o is B sinx (hint y= Xu) by using Bessel's Functron definstian ...

A:

Q: Consider the following signal, for a time period of 2 π. u (t) = sin (t) for t ∈ [0; π] ; u (t) = 0 ...

A: We will use the basic knowledge from Fourier analysis to solve this question. Note that in your ques...

Q: Write triple integrals in the order (1) dzdxdy, (2) dxdydz, and (3) dydxdz to represent the volume o...

A: We will the basic knowledge from multivariate calculus to answer this question. Then, we will use tr...

Q: price of an identical pair of sunglasses in Store B. Both stores gave the same discu The usual price...

A:  Discount = Marked Price – Selling Price. Discount Percentage = (Discount/Marked price) x 100. ...

Q: Identify the conclusion in the statement: Composite numbers are a subset of integers and irrational ...

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Q: Estimate the second derivative of f (x) = difference approach with h=O.1? 25x3 6x2 + 7x -88 at x-2, ...

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Q: Prove: " Show that the number of edges in a simple planar graph of order n is at most 3n – 6". Give ...

A: This is a problem of Graph Theory.

Q: Find the value of u in rectangle GHIJ. H. 2u u+1 Submit

A: We know that the length of the opposite sides of a rectangle is equal.

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: What is the simple interest to the nearest cent on a credit card balance of P1,150.00 at 11% interes...

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Q: using beta function integration Show that: 1 dx = bu xu-1 В (и, т — и + 1) (1 + bx)m+1 By making the...

A: Introduction: The Beta function is one of the most important improper integrals. It is defined as Bm...

Q: Determine whether the alternating series converges. k +1 E(- 1)*+1. 11k + 1 k=1 O The series diverge...

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Q: anr" and n'a,r" have the same radius of convergence (finite Prove that the series or infinite).

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Q: Letter Definitions/descriptions A A variable which depends on another B A variable that does no...

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Q: 2. Prove: "The size of every bipartite graph of order n is at most ". Provide an 4 illustration and ...

A: Definition: A simple graph whose set of vertices can be partitioned into two sets V1 and V2 such tha...

Q: Write v (2,5, –4,0) as a linear combination of uz = (1,3,2, 1); U2 (2, — 2, -5,4); из %3D (2, —1,3,6...

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Q: Calculate the simple interest earned when P = $15,000, r = 7.5%, and t = 70 days using the ordinary ...

A: The formula to calculate the simple interest is given as follows:

Q: Given X = (R, Tstd) and Y = in the subspace topology. (IR, Tstd), draw and write down the set descri...

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Q: 31 Find the LU of A = 4 [-2 5 -1 3 %3D

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Q: 3. Note : m=0 a. Graph the following function: f (k) + 4 = 3-2x-m + 8 c. Expand logarithmic expressi...

A: Given: function f(x)+4=3-2x-m+8 m=0 f(x)+4=3-2x+0+8 ⇒f(x)=3-2x+8-4 ⇒f(x)=3-2x+4

Q: 25y 0;

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Q: 4m, Figure 5.134 Triangular prism Find the volumes of these solids. 3cm 4 m (a cm 4pm 4 m 3cm 6cm 4 ...

A: Volume is a space occupied by a closed surface. It is measured in terms of the number of unit circle...

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

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Q: 17. The area of the surface obtained by rotating the curve y = v = v16 – x², -1 <x< 1, about the x- ...

A: Area of the surface obtained by rotating the curve about the x-axis= S=2π∫aby1+(y')2dx =2π∫-1116-x21...

Q: (mp + mp)V = (mẸ + mp)V¢cOS & = mf(V)F + mp(Viz)p = mgVg COs0 + mpVp (mp + mp)Vy = -(mp + mp)V¢sin o...

A: From the given equations we have,mF+mPvfx=mF+mPvfcos∅       ...........(1)mF+mPvfy=-mF+mPvfsin∅     ...