V. Discuss the continuity of the following functions. If discontinuous, identify the discontinuity. If discontinuity is removable, redefine the function. f(x) = {2x +5, x21 x< 1 a=1 -2x+5, x21 3- х, х< 2 2, x = 2 b) f(x) = a=2 %3D x> 2 2'

Q: Find one real root of g (x) = In(x*) = 0.70 between 1 and 2. How many number of iterations were…

A: Given function is gx = lnx4 = 0.70 when   lnx4 = 0.70⇒lnx4 - 0.70=0⇒ hx = lnx4 - 0.70 initial…

Q: A probability experiment is conducted in which the sample space of the experiment is S =…

A: The outcomes in Ec = { 12,13,14,15}

Q: 6. Given the universal set U ={x | x e 1, -10 sxS 10} A = {-2, -1, 0, 1, 2, 3 } B = {2, 3, 4, 5, 6,…

A:

Q: Solve the following initial value problem. y' – 5y +6y=e; y(0)=0, y(0) =2 Find the value of y(t) if…

A: To solve the given initial value problem.

Q: Please answer these. I have to check my work.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Do you tailgate the car in front of you? About 45% of all drivers will tailgate before passing,…

A: Considering, X~B(n,p), the pmf is, P(X=x)=nCxpxq(n-x) ; x=0,1,2...n   p=success probability, p+q=10…

Q: Use the accompanying data table to (a) draw a normal probability plot, (b) determine the linear…

A: The question is about correlationGiven :To find :b ) Linear correlation c ) Critical value for…

Q: Please answer letter D and E onlyyy.

A:

Q: 3. Solve for the root(s) of the equation f(x)=3x³-4x²+8x+4

A:

Q: 3. The function f(x) = x² +3 is shown in the graph. For each x 0 and x 3, find all the direction…

A: The given function is

Q: receive per day. It is illustrated below. X• P(X) P(X) X -H (X – µ)² P(X)·(X – µ)² 5 0.15 6 0.15 0.9…

A: The question is about to find prob. dist. Given : X : No. of calls received by parents per day P ( X…

Q: d. If lim f(x) = 3 then f(x) has a horizontal asymptote at y = 3. || %3D e. If f(1) is undefined…

A: To determine whether the given statement are true or false. d. If limx→∞fx=3 then fx has a…

Q: Use the following information to answer the next three exercises: The length of time it takes to…

A: Mean()=5standard deviation()=2

Q: (b) Find the mean and standard deviation of this probability distribution. What is the expected…

A: It is given that n = 6 and p = 0.70.

Q: (c) Calculate a 95% confidence interval (in hours) for the mean number. hours spent in volunteer…

A: From given data we have the sample mean , sample standard deviation and sample size as :…

Q: Answer A B C and please follow the instructions

A: Given that,

Q: Sin 3 h=2

A:

Q: utcome is 00, 0, or 1, there is a probability of 38 of making a net profit of $60 and a 38…

A: Given playing roulette at a casino, a gambler is trying to decide whether to bet $20 on the number…

Q: Use the simplex method to find the optimal solution to the following LP. maximize Z = 5x + x2 2 x1 +…

A: The given LPP is Max Z = 5 x1 + x2 subject to: 2 x1 + x2 ≤ 6 x1 - x2 = 0 and x1,x2≥0

Q: Oefine a Linear operator matrix on of order 2.

A:

Q: Use the Simplex Method to solve for X1 and X2: Objective function: Maximize z = 4x₁ + 3x₂ Subject…

A: We have to solve for x1 and x2 using the simplex method.

Q: Find the area between the curves f(x) = v3 cos(x) and g(x) = 3 sin(x) over the interval (0, 7/2] The…

A: Here we have to find the area between the curves f(x)=√3 cos(x) and g(x)=3 sin(x) over the interval…

Q: Datormine whethe each of the prlowing series waverges or diverges usIing inly the anvergence tests.…

A:

Q: Determine one real root of 2xcos2x – (x – 2) = 0 on the interval (2, 3). How many number of…

A:

Q: Consider the following system of linear equations, 3x3 + X4 2x3 + 2x4 3x3 X4 2x1 + X1 3x1 -2x1 X2 +…

A:

Q: Find, plot and graph: the vertex, focus, endpoints of the focal chord, and equations of the…

A: y =14x2-2x-7 The plot of the function looks like this with a minimum value of -2 and an…

Q: Find the critical numbers and any local maximum and minimum points for the function ex f(x) = 2x…

A:

Q: Solve the following problems using the bisection method. Show your complete solution and box your…

A:

Q: (b) y = (x + 1)e™* y+y-e* = 0

A: To verify that the given equation is a solution of the given differential equations

Q: Solve for the solution set using Gauss-Jordan Elimination x + y + z = 2 - x + 3 y + 2 z = 8 4 x + y…

A:

Q: Evaluate the integral (4x +9y)dx + (9x – y)dy along the parabolic arc y = r from (0,0) to (1,1). (4x…

A: