B) Solve the differential equation by using Laplace transform y" - y = -t² y(0) 2 and y'(0)=0

Q: 1. Determine the Taylor Series (5th approximation) of the function defined by f(x) = sinh x about a…

A:

Q: You are working with your friends Alice and Bob on your Calculus homework. While you were away…

A: To tell if two different looking correct answers for the same integral is possible or not.

Q: AD has measure 20. BC has measure 140". Find the measure of ZAED. B D 20° E P 140 A C

A:

Q: Given f(x) = 2x² + 1 and g(x) = 8x 9, find the following. (a) f(g(2)) (b) f(g(x)) (c) g(f(x)) (d)…

A:

Q: Sketch level curves for f(r, y) = 2 = y - cos(x) (at least 4). Based on your sketch, describe the…

A: Given fx,y=z=y-cosx. We will sketch the level curves for z = 0,1,2,3. z=0, y-cosx=0⇒y=cosxz=1,…

Q: c) Using the table below how many factors should the researcher keep and why? Factor Total 1 3,751 2…

A: From the above given data the following solution is provided below:

Q: Consider the vectors à = (5,3,7) and b = (2, -3,4). Answer or calculate each of the following.…

A:

Q: Consider the line L₁ described by r₁ (t) = (-t, 5+ 2t, 7 - 3t) and L₂ described by r₂(t) = (2+t,…

A:

Q: 6 6 If [ f(x) dx = 33 and fºs g(x) dx = 16, 6 ¹° [3F find [3f(x) + 4g(x)] dx.

A:

Q: A perpetuity earning 4.00% compounded semi-annually is started with a $159,000.00 investment. How…

A:

Q: 3. Write the equation of the tangent line at (3, -2) of the implicit function x^3 + y^3 = y + 21/

A:

Q: Let R be the relation {(1,2), (1,3), (2,3), (2,4), (3,1)} and let S be the relation {(2,1), (3,1),…

A:

Q: 1. Convert the following difference equation into a first-order form: Yt = Yt-1 + 2yt-2(Yt-3 – 1)

A:

Q: A function f : D → R is called a Lipschitz function if there is a number K > 0 such that |f(x) –…

A:

Q: A point xo in D is said to be an isolated point of D if there is an r > 0 such that Dn (xo – r, x0…

A:

Q: Find the distance of the point P to the line l, where l: 3x+4y=12 P:(2,-6)

A:

Q: What is the smallest angle between the line r(t) = and the plane 3x + 5y - 3z = 7?

A:

Q: Match the following descriptions and graphs: Descriptions: A. The city's population increased at 6 %…

A:

Q: 2. Determine the Maclaurin Series (5th approximation) of the function defined by f(x) = sinx. a.…

A: Maclareen series is taylor series about zero i.e. a =0…

Q: Which number line would help you compute how much money you had in the following situation? You have…

A: You have .You pay someone .You receive a gift of .The aim is to find the amount of money you had in…

Q: International mathematics tests were administered in 10 countries chosen at random. In each country,…

A: We have given that the statement about to the sampling technique. Here, need to find out that the…

Q: -a-) Find the surface normal vector the sphere with radius √TT centered at (0,1,0) ie x² +(y-1)² +…

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

Q: Answer the following to describe the surface in R³ representing the solution of the system. (y=x³…

A: Given that the surface in represent the solution of the system.

Q: Given sin = 9 determine all possible values of 0, if 0° ≤ 0 ≤ 360°.

A:

Q: find value 2:x=4:5

A:

Q: Show that a uniformly continuous function on (a, b) is bounded.

A:

Q: 3. Let A, B, T be bounded self-adjoint linear operators on a complex Hilbert space H. If T20 and…

A:

Q: Let X={9,10,11,..} and A= {10,11,12) and metric |defined on X as d(x,y) = |x-y Give the last answer

A:

Q: Express the interval in set-builder notation and graph the interval on a number line. [3,5]

A: Given an interval .

Q: 1 1 The eigenvalues of the matrix 1 2 1 are: 0 3-1 O 1 and 2 O 1, 2 and -3 O -2, -1 and 3

A: The eigenvalues of any matrix are given by the values of λ for which det (A-λIn) = 0. Let given…

Q: The mean value of land and buildings per acre from a sample of farms is $1600, with a standard…

A:

Q: Let f : D → R be a function and let xo be a limit point of D that also belongs to D. Show that the…

A: