CALCULUS EXERCISES 1. (10 points) Derivatives. Calculate the following derivatives: (a) f(x) = 67 (b) f(x)...
1. (20 points) Find derivatives of the following functions. (a) f(x) = 1012 (b) g(x) = (ln(x2 + 3)] (c) h(x) = Vx+V2 (d) y=et +e? – x-e
Problem 3. (30 pts.) Let f(x) 32-1 (a) Calculate the derivative (the gradient) (r) and the second derivative (the Hessian) "() (4pts) (b) Using ro = 10, iterate the gradient descent method (you choose your ok) until s(k10-6 (11 pts) (c) Using zo = 10, iterate Newton's method (you choose your 0k ) until Irk-rk-1 < 10-6. (15 pts) Problem 4. (30 pts.) Let D ), (1,2), (3,2), (4,3),(4,4)] be a collection of data points. Your task is to find...
1. (10 points, part I) Consider the following initial boundary value problem lU (la) (1b) (1c) 0L, t> 0 3 cos ( a(x, 0) (a) Classify the partial differential equation (1a) (b) What do the equations (la)-(1c) model? (Hint: Give an interpretation for the PDE, boundary conditions and intial condition.) c) Use the method of separation of variables to separate the above problem into two sub- problems (one that depends on space and the other only on time) (d) What...
I need help with JUST 5,6, and 7 please 3 L12 x ✓ fx I B C D E F G H I 1 Thunder Creek Company expects sales of 18,000 units in January 2018, 24,000 units in February, 30,000 units in March, 34,000 in April, and 36,000 in May. The sales price is $34 per unit. 2 Prepare a sales budget. 2018 4 Budget #1: Sales Budget Jan Feb Mar 01 Total April May 5 Budgeted units to be...