Solve the recurrence: an= 3an-1+ (2n-5), ao=1

Q: Let f be a function defined on ]0, 1[ by : 0, if x is irrațional f (x) = {1/q, if x=p/q; where p and...

A:

Q: 3 s2+2s-15 2s+5 s2+2s-13 | 3 s2+2s-15 53+6s+9 (s-1)(s-2)(s+4) 52+2s-3

A: We have to find the inverse Laplace transformation .

Q: 5. Show f(x) = x'/4 – In(x) is positive for r e R sufficiently large. As well, use the p-series to s...

A:

Q: Evaluate the commutator [A,B] , for each of the following pairs of operators: 1. If two operators c...

A: 1. Let A and B be two operators such that A and B commute. => AB=BA If  αi is an eigen­func­tion ...

Q: Create a truth table for (p V q) Ar.

A: Given expression is (p∨q)∧r

Q: Consider the following payoff matrix. -1 -5 P = -3 3 (a) Find the optimal mixed row strategy. (b) Fi...

A:

Q: To find the lateral surface area of the triangular prism shown, fill in the values (no units): Th...

A: Given,       

Q: 2016 What is the highest power of 15 that divides 1000, Be careful! 15 is NOT prime.

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

Q: Let L: M2x2 → M2x2 be the linear transformation defined by L(A) = : 14, %3D 13 for matrix A in M2x2....

A:

Q: E valuate the Following in tegrals: sec (2+) dt tan (2t) 9.

A: Given that  The integral is  To evaluate the integral

Q: Find the solution using the varation parameters formula

A:

Q: Find the condition number at the root r = 1. Show that the forward error is roughly bounded by the b...

A:

Q: If a(n) = 1/((n)*(n+1)), what is the 5th term of the sequence. Here, n is a positive %3D integer. 1/...

A:

Q: Matrix A: 1 3 4 6.

A:

Q: Consider the vectors [1,0,0,-1]; [0, 1, 1, 0]: [1, 1, 1, 1]; [1, 1, 1, 0) (a) Show that they do not ...

A:

Q: Provide a direct proof of the statement below. Let a, b, and c be integers. If a|(a+b), then a|b.

A:

Q: i. Form the PDE by eliminating the arbitrary function from f(xy, y/z) = 0. ii. Find the Laplace tran...

A:

Q: Determine whether the Series is convergest divergent. or write the exact test that you Us e. nt2

A: Series and sequences

Q: Q1) Solve the following linear equation by Grammar's rule. x + 2z = 1 y = -z - 1 x = -y +z+ 2

A:

Q: #2. Use mathematical induction Il to prove that for all integers n2 5, 1 + 4n < 2".

A:

Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate meth...

A: Formulas of differentiation and integration  ∫xndx=xn+1n+1+C∫1x=lnx+Cddxxn=nxn-1

Q: I. For the given vectors i and v , find the value of u · v and normalize = (3,–1,9, –10) 2. й 3D (3,...

A: 1. Given u→ = (2, 7, -1, 20)v→ = (3, -1, 9, -10)Sou→.v→ = (2, 7, -1, 20)·(3, -1, 9, -10)        = 6 ...

Q: Consider the vectors [1,0,0, -1]; [0, 1, 1, 0]; [1, 1, 1, 1]; [1, 1, 1, 0] (a) Show that they do not...

A:

Q: Find the Laplace transform of sinh3 4t

A:

Q: Given the data below about the Axial Strain(%) vs Deviator Stress: Axial Strain (%), x 2 Deviator St...

A: We can solve this by using given information

Q: find the apPhto Ximation of the follou) values, which Ts different between the intesors 22/7 da 2+ s...

A:

Q: Let y be a solution of the differential equation * + (1+ )y =!, where x > 0 such that y(1) =1+;. If ...

A: First order differential equation

Q: Let f be a function with continuous second derivatives, defined by: 2 = f(r° + y°, 2ry) If we take "...

A:

Q: Approximate the value of f"(2.156) if f(x) = 2tan(x) + %3D cos(2x). h = 0.003 %3D O -18.22610955 O 8...

A: Here the given function is f(x) = 2tan(x) + cos(2x)

Q: Scott surveyed 40 friends on Facebook and asked them where they were born and where they went to col...

A:

Q: Suppose V is finite-dimensional, T E L(V) has n = dim V distinct eigenvalues, and S E L(V) has the s...

A:

Q: Show the derivation of formula for the conversion from spherical coordinates to rectangular coordina...

A: Rectangular coordinates can be written in spherical coordinates as follows: x=ρ cos θ sin ϕy= ρ sin ...

Q: 3. Find the general solution of y" – 3y' + 2y = e" using the method of variation of parameters.

A:

Q: Assume that you take out a $2000 loan for 30 months at 9.5% APR. What is the monthly payment - $75.1...

A: It is given that a loan amount of $2000 is received for a time period of 30 months at the rate of 9....

Q: 10. Fill in the blanks A 50 gallon storage tank initially holds a saltwater solution containing 100 ...

A:

Q: Express (2xy + 2x – 1) – (x² – y² – 2y)i in terms of z & Z then simplify.

A:

Q: Evaluate VSinx dox Vsínx+VCosx

A:

Q: What is the equation of line tangent to sin r+1 y = at the point (T, -1)? cos E O y= TX –1 - O y = 1...

A:

Q: Solve for x. Assume that lines which appear tangent are tangent. 17

A: Given figure is 

Q: Let y be a solution of the differential equation * + (1+ )y= =, where x > 0 such that y(1) =1+÷. If ...

A:

Q: Show that the general solution of the equation 4,32.xy°u, = 0 is given by where f is an arbitrary fu...

A:

Q: Consider the mapping diagram of the relation R below. 2. 3 a) State a counterexample from the diagra...

A:

Q: For the following complex numbers; perform the indicated operations. Express results in rectangular ...

A:

Q: B) Prove that: 1-tan? 0 cos? 0 – sin? 0 1+tan? e

A:

Q: In the exercise, a mixed row strategy is given. Use 0 -1 2 P = -2 2 -1 -2 1 -5 and find the optimal ...

A:

Q: Express the answer of the following problems in form rciso with and -Tss下 O Z: I+i 1-i3

A:

Q: Determine the domain of the following graph: 12 11 10 7 3 2 `-12-11-10 -9 -8-7 -6 -5 -4 3 -2 -1, -1 ...

A: Consider the given graph. Domain:- The domain of the function is the set of input values for which f...

Q: One solution of the differential equation is given. Find the general solution. y)-y"-12y'-40y 0, y e...

A:

Q: Evaluate the double integral So 2 -z- y dydr. O 0.82 O 0.67 O 0.92 O 1.04

A: In first question first we integrating with respect to y and putting the limit then integrate with r...

Q: Jeremy's bedroom has two doors leading into the hallway. His house has four doors leading to the out...

A: The numbers used for the counting are called natural numbers. In this case, the number of doors of J...