Determine if the given functions f(x) are continuous or not at the given value of z. Show your complete solution. 1. f0) = r+2x + 1at =2 Anawer 2.fe) - z - 16 at z=1 Answer 3./0) - atx Answer 4. 0) - at2 Answer 5. f6) = atx=0

Q: Find the mass of the solid with density p(x, y, 2) and the given shape. P(x, y, 2) - 48, solid…

A:

Q: appropriately. (1 – 5æ) a) Express the Maclaurin series of f(x) in the form ak. Enter the summand…

A:

Q: Give an equation of a plane described below. Determined by intersecting lines L1 and L2 L1: x = 2t y…

A:

Q: Let W be the subspace of R spanned by the vectors 3 and -6 12 Find the matrix A of the orthogonal…

A:

Q: dx dy dx dy Ise elimination to solve: + dt dt e'; = x + y dt - dt

A: Solution of the system of differential equation

Q: Let f(x) = tanx. The Maclaurin series of f(x) is E=0 (-1)" -1 x2n + 1. 2n+1 With this, approximate…

A: We have to approximate the value of x arctan(x). Where x = 1/2.

Q: Find the Domination number to : Cn kn Kmin

A: The domination number is the number of vertices in the smallest dominating set of G. GRAPH…

Q: Let f(t) = 6+ 6t, 0 <t< 5 and let the half-range sine series representation of its odd periodic…

A: Given- Let ft = 6 + 6t, 0 &lt; t ≤ 5 and let the half-range sine series representation of its odd…

Q: 30 years with a) 6 % compounded monthly with no point 1 b) 6– % compounded monthly with 1 point: 4.…

A: Solution

Q: rs, and if c a and c| b, then c| (6

A:

Q: Consider the function f(x) = In(1+x). (a) Find the first five nonzero terms of the Maclaurin series.…

A:

Q: f the function defined by 1 F(x) x2 =. * dt the produat rule ond the FTC II

A: Introduction: The Leibniz rule for differentiation under the sign of integration is given by,…

Q: The characteristic of Z5[x]/ is

A: Introduction: Suppose, Rx be a ring of polynomials and Px be any polynomial. If there exists an…

Q: Find the inverse of laplace, f(t) if: 2s2 + 8 3. F(s) : ș3 – 7s2 + 14s - 8

A: Factorize the denominator of the given fraction.…

Q: Suppose that y represents health status function of 1 and a2 given by y = - (21 - 8) - (22 – 7)2 +a…

A:

Q: Determine one real root of h (x) = In() = -3 between -0.9 and –0.2 using the Bisection Method.…

A: Given, h(x)=lnxx3-8=-3    ; -0.9,-0.2h(x)=lnxx3-8+3=0To find: One real root of h(x) between -0.9 and…

Q: In Exercises 1 and 2, use Euler's method with the given step size At to approximate the solution to…

A: Introduction: The formula of Euler's method to solve a first-order differential equation is given…

Q: A cylindrical chemical storage tank with a capacity of 950m’ is going to be constructed in a…

A: Given that a cylindrical chemical storage tank with a capacity of 950m3 is going to be constructed…

Q: 1. g" +3-2y1-81y': gro) - 7.4 y'l0)= - 4.L y"C0)=9.91

A:

Q: Using Backward Difference, approximate the derivative of the function f(x)=/x at x=1 for various…

A:

Q: QUESTION 15 The second derivative of the function y= 3x4-20x2, at x = -5 (round your answer to…

A:

Q: QUESTION 25 Which one of these represents the first order partial derivatives of a multivariable…

A:

Q: 7. For the Lorentz matrix P = use a? – 32 = 1 and v = B/a to verify that a = 1/vi – v² and 3 = v//1–…

A:

Q: TRUE OR FALSE. Determine each of the following statements if it is true or false. If a^3 divides…

A: In 1st question given that a3 divides c2 so c2a3=k where is real number. Now c2a3=k…

Q: 4.) Compute the following: x sin 2x dx x2 +3

A:

Q: 6. Using indirect method, prove that q is a valid conclusion from the following premises: p → q,r →…

A: Please check the answer in next step

Q: 1. Show that the function p() = x + 4x3 – 9 has two real roots, that is, there exist r1, r2 ER such…

A:

Q: vertical

A:

Q: For the vector fleld G = (ye" + 3 cos(3r + y))i + (re + cos(3a + y)) j, tind the line integral of G…

A:

Q: Consider the following. - 3x) dx (a) Find an approximation to the integral using a Riemann sum with…

A:

Q: Sole the following first order PDE by Lagrange Method:   x(x ^ 2 + 3y ^ 2) * p - y(3x ^ 2 + y ^ 2)…

A:

Q: The function f(x) = ln x has a Taylor series at a = 4. Find the first 4 nonzero terms in the series,…

A:

Q: Find the positive values of p for which the series converges. 1 9) Σ n(Inn)" n=2

A:

Q: y"-7y' + 10y te2, y(0) = 3, y'(0) = - 2 Click here to view the table of Laplace transforms. Click…

A:

Q: Determine the general equation of the plane N passing through the point P(3, –1,2) and parallel to…

A:

Q: L{et sin 9t-f+ e}

A:

Q: Let J5 = {0, 1, 2, 3, 4}, and define a function F: J5 → J5 as follows. For each x E J5, f(x) = (x +…

A:

Q: Find the values of p for which the series is convergent. (Enter your answer as an inequality.) n= 1…

A:

Q: Use row reduction to solve the following linear system 2x4 8 4x2 + 2x3 4x2 + 3x3 2x1 4x4 9x4 201 9.…

A: We have to solve the given system of linear equations.

Q: Direction: Determine the Inverse Laplace Transform of the functions using the Laplace of Integrals…

A:

Q: Show that for all x, y E F, there exists e with e < Emachine such that fl(x * y) = (x * y)(1+ €) is…

A:

Q: Let W be the set of all vectors of the form Г4т — 58 — 3t] r – 3s + 4t 3r + 2s + t 4s – 3r with r, s…

A:

Q: y" + 3y' + 2y = 12x2

A:

Q: Find a complex number z such that |sin(z)| > 1.

A:

Q: According to the Michaelis-Menten equation, when an enzyme is combined with a substrate of…

A: Given that  Rs=AsK+s where A,K are constants Now, we have to find the limiting reaction rate as the…

Q: A factory manufactures two types of calculators Scientific and Digital. Each type of calculator…

A:

Q: The Mega Millions lottery is available in multiple states including New Jersey. A Mega Millions…

A:

Q: Give an equation of the plane determined by the intersecting lines L1 and L2 = 2t 15 –t and L2 : {…

A:

Q: Using Simpson's 1/3 Rule to approximate the integral sin(x)dx, n=10 What is CS,) ? Round off answer…

A:

Q: Derive the following Laplace Transform using the definition: (も,○-も1 fC+)=32-t,1Sも22 co,' tza

A: