Let, a1 = 1, a2 = 2, b1 = 0, b2 = 1, for n > 3, an = 2an-1+ bn-1 for n > 2 bn = bn-1+ ɑn-1 express an in terms of n.

Q: Ifan is an even number, show that a2 = 0 (mod 4), and if an is an odd number, show that a2 = 1 (mod…

A:

Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

A:

Q: Consider the following code words. 0000 0011 1001 1111 The minimum hamming distance of the above…

A:

Q: What are the points in an elliptic curve y2=x3+ 12345 x + 23456 (mod 23459) at x=1? Use one of those…

A: As per the question we are given the following modular elliptic curve : y2 = x3 + 12345x + 23456…

Q: 1) A) Find the area of the portion of the sphere x? + y + =9 lying inside the cylinder x2 + y? = 3y.

A:

Q: 3. Write down the name of the conic given by the polar curve r = 6/ (2 - sine). Determine the…

A:

Q: Consider the differential equation y" – 14y' + 49 The particular solution is yp = U(x)e7* +v(x)xe7*…

A:

Q: acebook; 22 use all three apps. Find how many students use: (a) only Instagram

A:

Q: Evaluate using Laplace Transform, find a: sin(t + a) cos(t + a) f(t) = | 3 dt 8. e2t

A:

Q: Consider the following system of equations. 2x  +  3y  =  25 3x  +  5y  =  40 (a) Write a matrix…

A:

Q: (5) If z = xf (2) +g (2), then the value of Z. + 2xy- + y?. is Əxdy (а) -1 (b) 0 (c) 2 (d) 3г

A:

Q: Perform the change of variables indicated in the problem to obtain the general solution to the…

A:

Q: (1) For a function f: R → R to be a probability density function it must satisify some conditions.…

A: A probability density function must be non negative.

Q: test the conver gehre and dvelyence n coscnt)

A:

Q: 4x2 + 22. Let S be the surface with equation y = (a) Write the equation of the traces of S on the…

A:

Q: Use a double integral to find the volume of the indicated solid. 8. X +y+2 8 00

A:

Q: 16. A playing field measures 120 m by 240 m. Karen wants to mow two-thirds of the field by mowing…

A:

Q: Determine whether each of the P-boxes with the following permutation tables is a straight P-box, a…

A: The straight p-box is the permutation box in which, the number of output bits is equal to the number…

Q: Evaluate using Laplace Transform: f(t) = tcos 3t -dt e-4t

A:

Q: For Items 2(a), label all important points such as intercepts, vertices of parabolas and hyperbolas,…

A:

Q: 3. Find a Maclaurin series expansion for f(x) = cosh x 4. Find a Taylor series expansion around x =…

A: Macluarin series expansion of the function

Q: In how many ways you can choose 8 of 32 playing cards not considering their order?

A: The combination of a number of objects is their arrangement without considering the order in which…

Q: ay (1) t. yx)= Ca em*+ Co Xe (2) A) ac= 4 B) ac = 16

A:

Q: f (t) = e(-3t) sin(2t) cos(3t) cosh(t) f (t) = v1+ sin t + (8t)15 + t² cos 3t %3D

A:

Q: QUESTION 1 Which of the following is a general solution to the following 4x?y"+4xy'+ (4x2 – 25) y=0…

A:

Q: Find the Fourier Series Expansion of the following periodic functions.

A: Given function is f(x)=x3, 0<x<c Let the Fourier series be…

Q: Compute f(x)dx 2x if x <1 4 if x21 f(x) =

A:

Q: Consider the differential formula ay" + 4y' + cy 0 and the nonzero real constants a, c, m, and n. If…

A:

Q: Perform the indicated operation and express in lowest terms. Зр - 3 5p? 9p - 9

A: All we have to do is take out the common factors. The detailed solution typeset in LaTeX is…

Q: Suppose that A is a 3 x 3 matrix with the following properties: 4 -5 is an eigenvector for A…

A: Given that A is a 3×3 matrix with the following properties :  u = 4-5-1 is an eigenvector for A…

Q: EXAMPLE 3 Evaluate fle Vx + z'dv, where E is the region bounded by the paraboloid y = x + z? and the…

A:

Q: Given the following relations on the set of all integers where (x, y) e R if and only if the…

A:

Q: 2e* xy" - (2x + 1)y' + (x + 1)y : x?

A:

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

A:

Q: Find a Maclaurin series expansion for f(x) = e- 2x

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: To help with the startup costs of his new dental practice, Tony is taking out a $56,000 amortized…

A: Loan Amount =$ 56,000 Interest rate =8.5% pa                     =8.5%12 Monthly payment =$694.32

Q: Let C1 be the line segment from (1,0,1) to (0,3,6). Evaluate dx + dy + dz.

A: To evaluate the integral we use the parametric equation of line segment joining two points.

Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

A:

Q: Solve a following ordinary differential equation y'' + 2y  = sec(x)   PLEASE!!!

A: Given differential equation is y''+2y=secx. We have to find the general solution of the given…

Q: The graph of a function y = f(z) is shown: At which point is the following true (Only type the…

A:

Q: The total energy need during pregnancy is normally distributed, with mean of 2600 kcal/day and a…

A: Given, total energy need during pregnancy is normally distributed   mean μ=2600 kcal/day Standard…

Q: Consider the equation 4y"+by'+cy=0 and the nonzero real constants b, c, m and n. If the general…

A:

Q: The figure shows the level curves for a function f over a square region R. Approximate the integral…

A:

Q: 15) After declining over the past century, the percentage of men aged 65 and older in the workforce…

A: As per the question we are given th following data table : And we have to find the best fit cubic…

Q: Evaluate using Laplace Transform, find a: sin(t + a) cos(t + a) f(t) = . 3 dt = 8. e2t

A:

Q: If f is bounded and integrable on [a, b] such that | f(x) | 0).

A:

Q: f(C) = | Evaluate using Laplace Transform, find a: n* sin(t + a) cos(t + a) 3 dt 8. f (t) = e2t

A:

Q: Find the Laplace transform of: 1. f(t) = e(-3t) sin(2t) cos(3t) cosh(t)

A:

Q: 18. Set up an integral to compute the volume under the hyperbolic paraboloid z = over the disk D =…

A:

Q: if a 20 f(x) = if a <0

A: