10.Check whether 12" can end with the digit zero

Q: 4. Given that √2 is an irrational number. Show that 5+ 3√2 is an irrational number.

A: Solution 4 Here given that 2 is an irrational number  To prove   5+32 is an irrational  Proof Let…

Q: 00 Let A and B be sets. Then A x B=BX A. True False

A:

Q: The cost of mailing a package weighing up to, but not including, 1 pound is $2.80. Each additional…

A: For a decimal number, the greatest integer function always returns the whole number that is to the…

Q: (6) Find the integral of the function piecewise linear path from (1,1) to (2,2) to (0,2). b) 22.3…

A: Given the function Fx,y=ey-x,e2x

Q: 1. Determine the convergence of the following sequences. 1 b. n²n!

A:

Q: Solve the initial value problem y" - 4y' - 45y = 0, y(0) = : Find a so that the solution approaches…

A:

Q: Solve the initial value problem below using the method of Laplace transforms. y' +9y' + 18y = 160 e…

A: Some of the formula of Laplace transform are Leat=1s-aLy''=s2Y(s)-sy(0)-y'(0)L-11s-a=eat

Q: 2. 0.X₂ Use the Jacobi method and Gauss-Seidel method to solve the following system until L²-norm of…

A:

Q: Evaluate the integral: [(4 t³ - 9)i+sec² t (t³+4)3 k]dt +

A:

Q: S = Σ (1.02-1) ² 3-1

A:

Q: Original Function Rewrite Differentiate 1 5x4 y = == Simplify

A: Solution is given below:

Q: 2. Remember to LOOK at which FORM you are given: Vertex Form: y = a(x − h)² + k Gives you your…

A:

Q: Q3: Use Secant method to find the root of the function f(x): f(x)=x²-6 with xo =3 and x₁=2 . Do 5…

A: It is given that fx=x2-6. We have to use the secant method to find the approximation of the root of…

Q: Determine the distance y measured from the x axis to the centroid of the area of the triangle shown…

A:

Q: L. Find the coordinates of point P with respect to the coordinate system S, where S = {0, (1/√√2,…

A:

Q: Sketch the graph of the function. (3x + 3, X ≤ -1 k(x) = 3x²-2, -1 1 y

A:

Q: Suppose m is a positive f& La(μ), 11 £1100 2o and 2n = Ln Prove that = √ 1+1" 1₂" (n=1₁2,...)…

A:

Q: Find the mass of the cylinder (centered on the z-axis and base in the xy-plane) with radius 4 and Z…

A:

Q: Exercise 1) Consider the group (S3, 0) and H= {e, fs). Prove that HS3. 2) Consider the group (Z.)…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Given the following initial value problem. dy/dt- yt 1.1y where y(0) = 1 The solution at t 0.75; Le…

A:

Q: From a group of 10 men and 12 women, only 5 will randomly sit down in a row of 5 chairs. How many…

A: Solution :-

Q: Let line L: x = 2t, y = 0, z = 3, and let line M: x = 0, y = 8 + s, z = 7+s, for some constants t…

A:

Q: QUESTION 5 Many patients get concerned when a test involves injection of a radioactive material. For…

A: Given

Q: 1. A company is evaluating two projects, A and B. The company's cost of capital has been determined…

A: Use the following formula, to calculate the net present value. NPV=CF11+k1+CF21+k2+⋯+CFn1+kn-Initial…

Q: space. connected subsets of X such that C; is non-empty, then C = C; is also

A:

Q: Determine the values of a, if any, for which all solutions of the differential equation y" − (2a −…

A: This is second order differential equation, it has two linearly independent solutions, if both are…

Q: Construct a pie chart illustrating the given data set. A cereal manufacturer wants. o introduce…

A:

Q: 4.2. Let a=for n23 (a) Let f be the function given by f(x) = -1/ For x23, fis continuous, xlnx…

A: Please see the attachment  We are supposed to do one problem.

Q: T(n)= 2 - {²7 = n = 2 [2T()+n_n=2k, for k>1

A:

Q: Let f be a holomorphic function on the disc DR centered at the origin and of radius Ro. (a) Prove…

A: Here we have given that f be a holomorphic function on the disc DR0 centered at the origin and of…

Q: 1. Determine the convergence of the following sequences. 1 b. n²n! l(n+2)! S

A:

Q: What interest rate was applied if a loan of ₱65,468 will amount to ₱125,000 borrowed for 2.5 years…

A:

Q: 3 1 1 2 accountants can do 4 tax returns in returns can 3 accountants do in 3 hours? Find the…

A: Given that 112 accountants files 134=74 tax returns in 112=32 Then 3 accountants will file…

Q: Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the…

A:

Q: Consider the model dP dt where P(t) represents the size of the population at time t. = 5P + 10P²,…

A:

Q: Compute the definite integral T/4 0 5 sin² (3x) dx

A: Sol:- ∫0π45sin23xdxTake the constant out:  ∫a·fxdx=a·∫fxdx=5·∫0π4sin23xdx=5·∫0π4121-cos6xdxTake the…

Q: cos (x sin )=√₁ (x)+2 J₂ (x) cos 26+2 J₁ (x) cos 44+... sin (x sin )=2 J₁ (x) sin +2 J, (x) sin 36 3…

A: Using generating function of Bessel functions

Q: c) Find the value of (Log:)² where the integral is along a contour not intersecting the branch cut…

A: We find value of given contour.

Q: Write a dual program such as LP below: Min 1 subject to 2x2 + 5x3 + x4 x1 + 3x2 + 2x3 x4 2x2x3 + x4…

A:

Q: Let A, B, C, D be sets. (ANB)x(CND)=(AXC)n(BxD). True. False.

A: Use the basic properties of intersection and cartesian product to prove the given relation.

Q: 1. Given the graph of x(t) x(+)46 exponential line -4 -2 2 0 1 quarter r cycle 3 ➜t (a) Determine…

A: To Write: (a) The mathematical expression for the function given in the sketch. (b) To find: x(0)

Q: How long will it take money to quadruple with continuous compounding at 12% interest? 15,019 72 Ob…

A:

Q: Determine the values of a, if any, for which all solutions of the differential equation y" - (2a -…

A: Given the differential equation y''-2α-15y'+α2-15α+50y=0 We have to find the valiue of α where All…

Q: Give a set of vectors that is linearly dependent for P3 Show your work.

A:

Q: Determine the longest interval in which the initial value problem is certain to have a unique twice…

A:

Q: o account the

A: To explain the difference of sequence and the series as,

Q: Find at least the first four nonzero terms in a power series expansion about x = 0 for a general…

A: The given problem is to find the power series expansion solution of the given differential equation.…

Q: (b) Obtain 3 non zero terms of the Maclaurins series for sin²x. Hence, evaluate sin² x 0.5 1.0.5 5…

A: The given problem is to evaluate the given definite integral using Maclaurin series of sin2x upto 3…

Q: з хутуг х2 +xy dy + ax = 0

A: To solve, dydx=-3xy+y2x2+xy⇒dydx=-xy3+yxxyxy+1⇒dydx=-3+yxxy+1        ___________(I)

Q: If the Neumann problem for a bounded region has a solution, then it is either unique or it differs…

A: see my solution