OC userin Calculus·26 Oct 2019 Part 2: Derivatives of Exponentials. Recall that the derivative of a function f(z) at a point a is equal to the limit So if f(x)-b then the derivative of f(z) at z -0 is equal to the limit lim If we evaluate this limit for b = 2 we get 0.69315 and if b = 3 then the limit is 1.0986. So if there is a b so that the limit is equal to 1 it must be between 2 and 3. We will try to find this particular value of b by using the bisection method. Since 2 gave a limit that was too small and 3 gave a limit that was too big we will next try b=2.5 ë¶ This gives a limit of 0.9163 which is less than 1. So let's try b-275-22t3 which gives a limit of 1.0116 which is greater than 1. Now since the limit was greater than 1 for b 2.75 and less than 1 for b 2.5 the next number to try is b = 2.625 = 275+25 2 What limit does this value of b give us? Continue finding new values of b using this bisection method until the limit is within 0.001 of 1. What value of b did you end with? How does this value compare to the constant e?
OC userin Calculus·13 Mar 2019 (1 point) Consider the functions f(x) = 0.822 + 6 and g(r) = r, which are graphed below. (xã g(x) (You can click on the graph to enlarge the image.) Find the area enclosed between f and g from x =-7 to x Answer -191.04 it) 4
OC userin Calculus·19 Jun 2019 9. (12 points) 1x 21 Consider the series nl 0 (a) Find the series' radius and interval of convergence (b) For what values of x does the series converge absolutely? (c) For what values of x does the series converge conditionally?
OC userin Calculus·24 Jun 2019 Help! 1. Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related to the weekly supply x (in thousands of cartons) by the following equation: 625p2-X2 = 100 If 35000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 9c/carton/week, at what rate is the supply changing?
OC userin Calculus·4 Nov 2019 2) Due: Week 15 Name: 1. Find the radius and interval of convergence for the following power series: a. 2 n=0 n!
OC userin Calculus·27 Sep 2019 1. (10 points) Use the comparison test to determine if the following series converges or diverges. 2n3+3
OC userin Calculus·16 Jul 2019 Help! Estimate the distance traveled by the vehicle during this 75-second period using the velocities at the beginning of the time intervals. 4. Use the fact that flx)-S ttdt, to the follow values; b, f'(2) =
OC userin Calculus·2 Sep 2019 Use the chain rule to find the indicated partial derivatives. Please do 18-21 thank you so much !! 17-21 Use the Chain Rule to find the indicated partial derivatives. 17. z = x4 + x2y, x = s + 21-11, y = stu"; az azaz as at' du when s = 4, t = 2, u = 1 , 2u + v when p = 2, q 1, r _ _ , ap aq ar _, _ when r = 2, θ = Ï/2 u = ye", w = e". aP aP ax ay 21, N = p + q when x 0, y = 2 ptr _, _, _ when u = 2, u 3, w 4
OC userin Calculus·22 Feb 2019please answer both DV/DP and DV/DT. 7.2.31 Qestion Help The volume (Vfa certain amount of a gas is determined by the temperature (T) and the pressure (P) by the formula V 0.05Calcuteand P = 30, T-400. when OP When P-30 and T-400,-=L.(Round to four decimal places as needed.) av aP
OC userin Calculus·23 May 2019 Help! 5. Suppose F(t) has the derivative f(t) shown below, and F(0) = 4. Find values for F(1) and F(8) 8 5 .1 3 -2 5.
OC userin Calculus·6 Jul 2019 Use substitution formula in Theorem 6 to evaluate the integrals 212 2 4 t r 1 (4 + r
OC userin Calculus·10 Jul 2019 2. Rewrite the given expressions using a single power series whose general term involves x
OC userin Calculus·28 Sep 2019 3. Using the power series method, solve the following ODE's/IVP's using an expansion about x-0. Find the first three non-zero terms for each of y1 and y2 if they exist. (x2 + 1)y,,-6y = 0 (x + 1)y"-(2-x)y' + y = 0, b· y(0) = 2, y"(0) =-1 c.
OC userin Calculus·11 Jan 2019 iven the surface z=f(x,y)-sin(xy). Evaluate the Directional Derivative, Duf, of the unction at the point (0, Ï) in the direction of u=(3,4). Show your work.