Define a sequence of ordered pairs (x;, y;) as follows: (xo, Yo) = (3,1) %3D Xn+1 = 3xn + 4yn, n > 0 Yn+1 = 2xn + 3yn, n > 0 rove that for every n 2 0, (xn, Yn) satisfies the equation x2 – 2y2 = 7. %3D

Q: when y = In(2x – 4x). -

A:

Q: - In(1) none of the choices -5 - In(3) - In(4)

A: Integration of Rational Function: A function of the form , whereand are polynomials, is called a…

Q: For the PMF Px(x) = = 2 x = 1, 3, otherwise. " calculate Var[X].

A: Answer:- Given pmf is  Px(x) = 1/2 , x= 1, 3  Px(x) = 0 , otherwise.  Using formula,  Var[X] = E(x2)…

Q: Find the deniva tive of the given Fimction log 4 (x) +16

A: Fx=log4x+16x⇒Fx=lnxln4+16x

Q: bag

A:

Q: 3. Sx³dz

A: Let I=∫x3dx1+x2.

Q: a. A random variable X has the following probability distribution: 0 x 18 5 x 18 10 x 18 15 x 18 20…

A: Given, X 0 90 180 270 360 450 P(X=x) 0.1 2m 0.2 0.1 0.04 0.07 Here,…

Q: d da Compute (10-3x)*.

A:

Q: Which of the following functions has a vertex of (4,7 O y = (x+ 4)² +7 O y = (x – 4)² + 7 O y (x +…

A: We know that the vertex form of a parabola is y= a(x−h)2  +k  where (h,k) is the vertex.  Thus, for…

Q: Given f(x) = - - 6x + 2, h(x) = 2(x – 6)(x+ 10) and g(x) =(x - 4)²+2 deter write f, g or h) has no…

A: Given,       f(x)=-34x2-6x+2h(x)=2(x-6)(x+10)g(x)=65(x-4)2+2

Q: Solve for t in B=Numerator x+y over the denominator t+z

A: The given equation is,

Q: Find real numbers and such that 2.x – 3iy + 4ix – 2 y – 5–10ix = x + y – iy + 2-(3– x)i

A:

Q: 5 S Ix² x- 6|dx -5

A: The given integral,            ∫-55x2-x-6dx

Q: 5. If mUV = (8x - 17)' and mWV (5x + 52), find mWV. %3D

A: As this is a multiple question, according to the Bartleby answering rule, only first question is to…

Q: for

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.