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I ONLY NEED NUMBER 2 AND 4 Find the value(s) of k that makes each of...
In the following exercises, find the value(s) of k that makes each function continuous over the given interval. 145. f(x) = $3x + 2, x<k 12x – 3, k < x < 8 3 153. Apply the IVT to determine whether 2* = x has a solution in one of the intervals [1.25, 1.375] or [1.375, 1.5]. Briefly explain your response for each interval. Determine whether each of the given statements is true. Justify your response with explanation or counterexample....
For each of the following systems, find a > 0 and b > 0 such that L(x, y) = ax^2 + by^2 obeys d/dt(L) not = 0 whenever (x, y) 6= (0, 0). (This makes L a Liapounov function.) State whether the origin is a stable or unstable equilibrium in each case. (a) x' = −x^3 + 7xy^2 , y' = −3x^2y + y^3 . (b) x' = x^3 − y^3 , y' = 3xy^2 + 4x^2 y + 5y^3...
I only need help with d) EXERCISE 7.4 1. Find ay/axi and ay/ax2 for each of the following functions: (a) y = 2x} - 11x? x2 + 3xį (c) y = (2x1 + 3)(x2 - 2) (6) y = 7x1 + 6x1x? - 9x} (d) y = (5x1 + 3)/(x2 - 2)
Emergency! I need help with question 4 and 5 only, Please! 3. In each of the following systems, interpret each equation as a line in the plane. For each systenm, graph the lines and determine geometrically the number of solutions. (a) xtx24 (b) x1 + 2x2 = 4 -2x1-4x4 x1-x2 = 2 4. Write an augmented matrix for each of the systems in Exercise 3. 5. Write out the system of equations that corresponds to each of the following augmented...
Question 4 options: A. i=1,2,5 only B. i=1,2,6 only C. i=5,6 only D. i=1,2,3,4 only E. i=4,5,6 only Question 5 options: i=1,4 only i=1,2,3,4,5 only i=1,2,4 only i=3,4,5 only i=1,2,5 only Consider A1 = 1 2 3 2 3 4 1 5 8 A2 1 2 3 5 6 7 3 4 5 3 4 5 = A3 1 2 3 4 4 3 2 1 6 6 6 6 = 1 1 1.- G?).-)-(13) ) 9 2 Let x=...
You only need to do Q2 (a)'s (i) and (ii). No need to do part B 2. (a) Let X be a random variable with a continuous distribution F. (i) Show that the Random Variable Y = F(X) is uniformly distributed over (0,1). (Hint: Al- though F is the distribution of X, regard it simply as a function satisfying certain properties required to make it a CDF ! (ii) Now, given that Y = y, a random variable Z is...
Feedback control of dynamic systems please help me to solve this problem I need only (B) The solution of A uploaded below. 6ple Plant PCs) Tontoller A) Plunt is represented As belo State vecta eg ation Gce 4t) Ult) YiA-II o]it Find Gpl) Y Vs) (B) At the Above Systen. Controller Pis is to Stable the systen Rale of Drs is, when Tnput t)- 1, DIs) MAkes stendy-state euror to be o Design Pes) and Prot the systen can be...
I need help finding the value of "c" that makes the functions continuous!! f(x) = { (x^2 + x - 20) / (x-4).... if x does NOT = 4. f(x) = { c ... if x = 4. and then this set: f(x) = { x+c .....if x is greater than or equal to 1. f(x) = { 5 - cx^2 .... if x > 1 and: how do I explain why the equation: x^5 + 2x^3 + x +2...
Problem 4.2. Please only do 4.2, I only need help with 4.2 Only 4.2 please . OVERFITTING 4.4 Problems pict the monomials of order i, фі(x-a". As you increase correspond to the intuitive notion of increasing complexity? Prob Problem 4.2 Consider the feature transform z = Lo(2), L1(x), L2(zr and the linear model h(x) w'z. For the hypothesis with w [1,-1, 1 what is h(z) explicitly as a function of z? What is its degree? Problem 4.3 The Legendre Polynomials...
help pleasee ignore the first photo, i need help with number 2 4. Let F(x, y, z) = (e" cos(y) + yz, xz - e" sin(y),ry+z). Compute 5.F-ds , where c: [0, 1] → R is given by c(t) = (tet, arcsin(t),t +1) 4. Let F(x, y, z) = (e" cos(y) + yz, xz - e" sin(y),ry+z). Compute 5.F-ds , where c: [0, 1] → R is given by c(t) = (tet, arcsin(t),t +1)