Question 4. Continuity Exercise 2.5, Problem 26 a. Show that f has a removable discontinuity at x = 3. / x²7x+12 f(x) = x-3 x = 3 b. Redefine f(3) so that f is continuous at x = 3 (and thus the discontinuity is "removed"). Exercise 2.5, Problem 47 c. For what value of the constant c is the function f continuous on (-∞, +∞o)? f(x) = {cx² + 2x (x³ - cx if x < 4 if x ≥ 4

Q: B-3 265 is Usinn

A: We have to solve the integral

Q: 02: Find a solution of: a² + 2y²-y-2B=0 a²-8y² + 10ß = 0 a² 7γβ Using Newton Raphson. When the…

A:

Q: z2 = - sin (z+y+2) ( '+ ) xy 3z + sin (x+y+z). dz -xz - sin (x+y+2) he he

A:

Q: The solution of xy' – y = 2x°, y(1) = 4 %3D (A) y = x³ + 2x (B) y = x² + 4x (C) y = x² + 3x (D) y =…

A:

Q: 2. Let V be the (real) vector space of all functions f from R into R. Which of the following sets of…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Determine whether the statement is true or false. The main principle behind the Pareto chart is the…

A: True: the Pareto Principle is  to help  separate the “vital few” problems from the “useful many.”…

Q: Q3: A- Use Greens theorem to evaluate the circulation or flux for the velocity field S(x, y) =- x+y…

A:

Q: Q4: A. Find the Eigenvalues and the corresponding Eigenvectors for A = 1

A:

Q: 21. Suppose A is a field and suppose also that A closed under countable disjoint unions. Show A

A: This is a question of measure theory.

Q: Q1) Find the solution of the next Higher O. D.E, By using constant coefficients method:- I.V.P…

A:

Q: Suppose that the newborn weights are normally distributed with a mean of m kg and a standard…

A: We have given that  Mean(µ) = mStandard deviations (σ) = 0.8

Q: H.W: Use Gauss Elimination Method to solve the following equations 2x1 + x2 + 2x3 + x4 = 6 ... . (a)…

A:

Q: Find the inverse Laplace Transform for 3s2 – 28 Y (s) (s – 4) (s2 + 4)

A:

Q: The PDE ugy + sin(y) u, = cos(y) Can be reduced to a first order linear equation as: A) uz + cos(x)…

A:

Q: Find the probability of getting an even number when a die is thrown.

A:

Q: Given the SLP x²y" – 3xy' + 1y = 0 , y(1) = 0, y(2) = 0, A) A„ = + 1, пЕN B) A, = + 4, ne N In C) A,…

A:

Q: All of the following are true for mean EXCEPT *

A: Here use basics of measure

Q: Find the angle between the tangents to the curve R(t) = ti + 2tj – t°k at the points t = +1

A:

Q: A carnival ferris wheel with a radius of 14 meters makes one complete revolution every 16 seconds.…

A: Solution:

Q: Use the integral test to determine if series converges or diverges by solve Σ 11 ne 22 The series…

A:

Q: Define p: Z16 Z16 by p(x) = 4x is a homomorphism then Kerø = a) {0,12} b) {0,4,8,12} c) {4,8,12} d)…

A: Given  ϕ:ℤ16→ℤ16  by ϕ(x)=4x is a homomorphism. To find: Ker ϕ

Q: I need the answer as soon as possible

A:

Q: if Qi is the quantity of Wheat and Pi is the .3 price of wheat and you wont to do the following…

A: Given dataQiPi101203152304The regression line equation is Qi=B1+B2Pi2The formula to calculate slope…

Q: Q2) consider the following 2nd order differential equation: ý-ý-y 2e* Find y(0.2) by Euler predictor…

A: We need to find y(0.2).

Q: 14- Use the (7, 4) Hamming code: a- Using equations method: i- Determine the code word for the…

A: We use the (7, 4) Hamming code: a- Using equations method: i- Determine the code word for the…

Q: Let r (t) = |r (t)| = ( the length of the vector is round to one decimal

A: