Math 155. Homework 5. Section 4.1 1. Use the graph of the rate of change to sketch a graph of the function, starting from the given initial condition (a) Start from z(0) 1 dz dt (b) Start from (0) 10...
MATH-182 Calculus II Written Homework Name: Section 4.1 p. 363/365 # 40 Solve the following initial-value problems starting from y(t = 0) = 1 and y(t = 0) =-1. Draw both solutions on the same graph. dy 40 -=2y dt
2. Consider the following 1-D wave equation with initial condition u (x, 0)- F (x) where F(x) is a given function. a) Show that u (x, t)-F (x - t) is a solution to the given PDE. b) If the function F is given as 1; x< 10 x > 10 u(x, 0) = F(x) = use part (a) to write the solution u(x, t) c) Sketch u(x,0) and u(x,1) on the same u-versus-x graph d) Explain in your own...
Homework: Section 4.1 Homework Score: 0 of 1 pt 4.1.22 Save 4 of 10 (3 complete) HW Score: 20%, 2 of 10 pts Question Help * Refer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test result isa false positive? Who would suffer from a false positive result? Why? Positive test result Drug Use Is Indicated 37 15 Negative test result Drug Use Is...
Differential Equations Need Help! Will Rate! Question 1 (35) 1. Build the characteristic polynomial for the DE z',-4x,-52-0 and find two particular solutions. Here, x' = dx/dt, x" = d2x/dt2. (15) 2. Verify that the two solutions are linearly independent. (5) 3. Build the general solution to the DE as a linear combination of these two solutions. (5) 4. Using the general solution, calculate the solution for the same DE with the initial conditions z(0) 5, x(0) 3. (10) Question...
(a) Given the following function f(x) below. Sketch the graph of the following function A1. f () 3 1, 12 5 marks (b) Verify from the graph that the interval endpoints at zo and zi have opposite signs. Use the bisection method to estimate the root (to 4 decimal places) of the equation 5 marks] (c) Use the secant method to estimate the root (to 4 decimal places) of the equation 6 marks that lies between the endpoints given. (Perform...
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...
please help with all of them -/1 Points) DETAILS SPRECALC6 2.4.006.MI. MY NOTES The graph of a function is given. Determine the average rate of change of the function between the indicated points on the graph. (Assume that the points lie on the grid lines.) - 2 Need Help? Talk to Tutor [0/1 Points] DETAILS PREVIOUS ANSWERS SPRECALC6 2.4.014.MI. MY NOTES A function is given. Determine the average rate of change of the function between the given values of the...
question 12 , please sketch it by your hand , do not use computer graph θ varies from 0 to 2 π. φ varies from 0 to π/4 while 0 is constant. find 9-10 Write the equation in spherical coordinates. 9. (a) :2-x2 + y2 10. (a) a-2r+y- (b) x2 +z2 = 9 (b) x + 2y+ 3:-1 11-14 Sketch the solid described by the given inequalities. 15. A solid lies above the cone:- + y and below the sphere...
Please I need help with question #7 C. 5. 9. 10. 11 Given the rate of change of a quantity and its initial value explain how to find the value of at a future time 1 2 0. 6. What is the result of integrating a population growth rate between times I = a and 1 = b. where b > a? Basic Skills 7. Displacement and distance from velocity Consider the graph shown in the figure, which gives the...
This exercise is to be completed as a binary exercise. It is taken from Chapra Section 28.2. Note that exercises like these make good components of examination questions Predator-Prey models were developed independently in the early part of the twentieth century by the Italian mathemati cian Vito Volterra and the American biologist Alfred . Lotka These equations are commonly called Lotka Volterra equations. One example is the following pairs of ODEs Figur%2: Examples of Prey. d.r dt dy In these...