The task is to show that the given function is discontinuous at (0,0) sin (2ab²) h(a,b) = {(a² + 2b4)³' if (a, b) # (0,0) ,if (a, b) = (0,0) Answer in complete solution.

Q: Question 8 Use the Laplace transform to find the solution of the following ODE y"+16y = 28(t – x)…

A:

Q: S 6x®cos (x³) dx „8, ,3•

A:

Q: From the differential equations provided, identify the pure time differential equation and the…

A: To identify the pure time differential equation and the differential equation autonomous. y'=y2−y4…

Q: let fe Rieman [aibT and dc Riemann then AfE Riemann (a.b3, Showthat Riemann in tegla,

A:

Q: (1 – 2n²)" n2n n=1 WI

A:

Q: Find two power series solutions of the given differential equation about the ordinary point x = 0:…

A:

Q: Question 11 To which value would the following expression reduce if the universe of discourse is the…

A:

Q: Consider the boundary value problem y" = y+ y(1) = 1, y(3) = 2. Solve this system over the interval…

A: Here we have given that the boundary value problem, y''=y+x with the conditions y1=1and y3=2. it is…

Q: Use the method of Lagrange multiplier to find the largest and least values of h(x, y) = x²y on the…

A: We need to use Lagrange multiplier to solve this problem. h(x, y) = x²y x² + 2y² = 6

Q: 4. Find 2001 (mod 205). (Enter the least non-negative integer

A:

Q: Question 33 With a binary relation R (defined below) on A and each tuple (a, b) indicating that a is…

A:

Q: Which of the following expressions is a closed form of the sum of the integers from 92 to 200,…

A: We know sum of first n natural numbers      1+2+3+.......+n = n(n+1)/2

Q: If the sum of the digits is divisible by 2, then the number is divisible by 2. true or false

A: If the sum of the digits is divisible by 2, then the number is divisible by 2.

Q: Sketch the graph of a function that satisfies all of the given conditions. f '(x) > 0 for all x ≠ 1,…

A:

Q: Find the standard form of the equation of the ellipse with the give characteristics. Center: (2,6);…

A:

Q: n all yER Fim a powes cypnesentation for sehjes growes Y?cos (2x) 4 thn by dfferemtiatinn suow unt…

A: We have to show that the sum of given series.

Q: Consider the function f(0) = 3 sin(20) where 0 represents a number of radians. a. Complete the…

A:

Q: 1. Consider A = (0, 4, 2) , B =, (6, –1,0) and C = (3,0, 1). (a) Find the unit vector having the…

A:

Q: 4. Find the exact length of the curve. Show All Work and Give Answer In Simplest Form. 2. r = cos´…

A: Arc length of the polar curve

Q: 2. Determine the second derivative of f (x)=xe* at x = -2 with a step-size of h=0.50 using Central…

A: Given f(x) = x2e2x

Q: ニ

A:

Q: Given: 00 5(-3)"(x – 2)" Vn + 2 n=0 Use Limit Comparison Test to show that the series diverges when…

A:

Q: A factory has three machines (1, 2, 3) and three jobs/tasks (A, B, C) to be assigned to this…

A: Machine Task A Task B Task C 1 2 12 6 2 7 8 3 3 2 5 6 there are three rows and 3 columns…

Q: Caffeine occurs naturally in a variety of food products such as coffee, tea, and chocolate. The…

A: Given, the remaining amount of caffeine after t hours is,                C = 80(2)-t/6 Where half…

Q: S+o (4-x)" V(n+5) +00 Consider the power series n: 2n=1 9n · 7" D. Find the radius and interval of…

A:

Q: Integrate the fallowing fultinnaaver the given regions R: the circle xy R: and

A:

Q: ght, h, in metres, above the ground of a car as a Ferris wheel rotates ca. ed by the function h(t) =…

A: In this question, the radius of the Ferris wheel is obtained from the trigonometric equation of…

Q: bh + 2 T XT A = 2 Find b Find h Find r

A: Solution

Q: Consider the function g(x, y) = x³ – 4x + ye" – In y. a. Find all critical points of g. At each…

A: We have to find Critical Points and partial derivative using chain rule.

Q: fCxッサ) R: is the triangle cut from the first tuadrant by the line メャッ ! 2. R:y=4x-x ? and y=X

A:

Q: If it is known that the function y, (x) = x² is a solution of the differential equation 1 (4r + 3)y"…

A:

Q: Solve for the Laplace transform of e2t sin t cost cos 2t cos 4t

A:

Q: Exercises 53 D and 54 D: Critical Thinking Determine mentally an integer n so that the logarithm is…

A:

Q: 10. Find a sequence of elementary matrices that can be used to write the matrix in rov echelon form…

A:

Q: Determine the radius of convergence and interval of convergence. Σ (-1)" (2n – 1)2" -(2x – 1)" n=1

A: Series and sequences. Evaluation of radius of converges and interval of converges

Q: The homogeneous linear differential equation of constant coefficients of lowest order possible for…

A:

Q: Two parallel lines l and m are cut by transversal t. For a pair of interior angles on one side of…

A:

Q: /3 In (x + 1) The series representing the integral - dx is given by OA. (-1)"+1 3" n2 OB. (-1)"+1…

A: To find: Series representation of ∫013lnx+1xdx

Q: Consider the following function. f(x) = x, a = 1, n = 2, 0.8 < x s 1.2 (a) Approximate f by a Taylor…

A: Given function is f(x)=x-4, a=1, n=2, 0.8≤x≤1.2 Solution a: Let the Taylor polynomial about point a…

Q: -10000- Show that the set spans R. Find a subset of these vectors that is a basis 3 2 3 for R3. 2.

A:

Q: a. Suppose f(x) = 6 sin(4x). What is the period of f? Preview b. Suppose g(x) = 6 sin(4x) + 2. What…

A:

Q: Given: an = In(n + 1) – In(n) for n EN Determine if Lan is convergent or divergent. n=1

A: Given an = ln(n+1) - ln(n) We want to check convergence of ∑n=1an

Q: Consider the differential equation OP - kpl +c where k > 0 and c2 0. In Section 3.1 we saw that in…

A:

Q: Let X = {a, b, c, d, e}. Create a σ-algebra X from set X. Explain why it is a σ-algebra.

A: Given : The given set is  X = {a, b, c, d, e} To find : We have to create a σ-algebra from the set…

Q: Which of the following definitions for the relation R (defined below) on A would constitute an…

A:

Q: c) Using the ower trianguler methed Kü)Using the upper frimgular methed elve; ース 2

A: The given augmented matrix is                             21111-212-18-22

Q: Consider the general form of AT Ax = ATb used to find the line of best fit C+ Dt throu (t1, b1),…

A:

Q: 00 (4-x)"· /n+5 9n · 7" n=1

A:

Q: Determine the convergence or divergence of the series. (If you need to use co or -00, enter INFINITY…

A:

Q: 1 Let a1 = 1, and an+1 = 3 An Determine whether the sequence {an} converges or diverges. If it…

A: