9(2): het f) = x'+3x²- ax+ a and g(4)=x+2x+ 1 E Q [x]. Find the Unique.poly nomials Such that flx) = q,(x)_g(x)+ Y(x) where qcx) g x(x)E Q[x] either y(x) =0 or os deg x6x) Ss deg glx).

Q: IT X) IS defined as foilows, ina (a) i( – 2), (D) (U), and (C) I(2). x? if x 0 (Simplify your…

A: Since the given function is a piecewise function therefore we need to take care of the branch of the…

Q: 3. FIND THE ROOT OF fcx)= x*+ 3x? - 3メ -3 x°+ 3x?- 3×メ -3 USING SECANT METHOD メi=1 TEN DECIMAL…

A: consider the function f(x)=x3+3x2-3x-31st iteration :x0=1 and x1=2f(x0)=f(1)=-2 and…

Q: JUX² +2x-8 dx Evaluate lx + 1Wx + 1)* + 9 = l(x + 1) + Vtx + 1}² – 9|]+c 9ln (+ 1)/(x + 1)² – 9 –…

A:

Q: Q12: If x + y = 10, then the largest possible Q13:The absolute maximum value of A) has no absolute…

A: Since, we have been asked to solve question-(13) in which our aimis to find the absolute maximum…

Q: How to find the answer? I have give u the right answer. The congruence 3x^2+4x-30=0 has • 2 in Z15,…

A:

Q: a(bx+j)(cx+k)(dx+m)² (ex+n)(gx-p)(hx+q)' with the following conditions a,b,c,d,e,g h.j,k,m,n,p.q are…

A: Given type of function is fx =abx+jcx+kdx+m2ex+ngx-phx+q

Q: Find the solution of the D.E. below: 2(2x² + y*)«x – xycdy = 0 ... x* = c (4x²+y²) x* = c(x?+ 4y?) B…

A:

Q: x+1 Find the slope of the tangent line to the graph of f (x)=; at a=0 2x + 1 A -1 B 1 C0 D None of…

A: fx=x+12x+1 Note:- As per the company's guidelines, we are supposed to solve the first question for…

Q: Check that x(x + 1) − y(y + 1) = (x−y)(x+y+1) then find all possible r such that x(x + 1) = y(y + 1)

A: We need to validate the equation: x(x+1)-y(y+1)=x-yx+y+1. We also need to determine the values of x…

Q: O f(x) = x3-6x²+9x+1 funct lon is given d) Find the equation f@ =0 `s real rost with linear…

A:

Q: a) Get the (2n+1)x Pn (x) = (n +1) Prar tx) +o Pau (x) reconnection polynomials using the; P(x, 2)=…

A:

Q: Negate the following statement Vx ay [ (P(x) < QUy)) ^ (Q(x) < P(y))]→ (P(x) = QG))

A:

Q: dz √|z|=1 |z|=1 z²-8z_+1

A:

Q: rove if the ff. arguments are valid using any formal proof of validity. vx, (P(x) v Q(x)) vx,…

A:

Q: (xD +2) (xD-1) *D (xD) xD + 2 x D -2 (x D² +D) - ×D +2x D-2 x'D? t x D - xD t 2xD -2 x2 D2 + 2xD - 2…

A:

Q: Q.2 If f(x) = 2*, Then show that a) f(x+3) – f(x – 1) =f(x) S(x+3) S(x-1) = f(4) b) %3D

A:

Q: Find a bijection between the following sets: (a) (8,00) and R. (b) (-8, 8) and R. (c) {-1,1} x N and…

A:

Q: Th nction f(2) = (2z3 + 8z) (z – 2i)(z + 5i)2 has a pole at z = -5i. :Select one True False

A:

Q: • Let a) f: IR₁ ->R₂ & f(x) = - = b.) f: IR₁ → IR₂ & f(x) = 2x² +7 EXC 3X 3 2 Do some appropriate…

A:

Q: -5= =DS"S"?{(m-3)x²+³"(m - m x- ? y)'-4myx] dydx

A:

Q: 3. h(x) = -2x³ + 5x² + 4x° – 3x + 12x? - 4 !! f (x) f(x) →_ as x → -00 as x → +00

A: We have to find the limit of the given function.

Q: TEST FOR HOMOGENEITY: 2 2. x² - 5xy - 4y²

A:

Q: what values of k will

A: Given,              f(x, y)=(x+iy)2+x-ikyx+iy

Q: The quadrature rule [“ f(x)dx = w₁ f(x1) + w2f(x2) + E (2) -h can be made exact for all cubic…

A: Given Information:The quadrature rule is given as .Objective:Write the four equations satisfied by…

Q: Calculate GCD(x3 + 2x2 + 3x , x2 + 3x + 2) in Z5 [x]. What is wrong with my answer? The correct…

A:

Q: Let X be N(0, 1)and Y be N(0, 9) , with X and Y independent. Let Z 2X – 16Y, and let W = 3X3 + 4Y5…

A:

Q: The maximum error for F=yx2+y+y2 are |(2xy)Ax| +|(2y+1 + x²)Ayl |(2x + y)Ax| + |(2y + x)Ayl x|Ax|…

A: Given function is, F=yx2+y+y2

Q: Given the functions Ax) = x+3 and g(x) = x + 2x- 8, determine the domain of the combined function y…

A: For real valued function domain is the subset of real numbers on which function is defined and has…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.