4. Find a closed formula for the following k 3k k=1 by representing it as an iterated sum. 1. Show that the formula neA n takes on the same logical value as -(y V ), for each assignment of logical values to the statements e and . Show that the formula o V u takes on the same logical value as -(y A), for each assignment of logical values to the statements p and .
35. Find the sum of 20 Σ 4 - 3k-1 k=1
Find the interval and radius of convergence of the power series (x + 1)k 3k 22 k-1
PROBLEM 2 3k ut 3K 6 k FIND THE REACTIONS RA AND Rg. ALL MEMBERS ARE MADE OF ALUMINUM (EoxIo3 KsI),
Use the ratio test to determine if the series converges or diverges 3k! | k-1 3k! | k-1
Express the series S = IM8 k 24 3k k= 1 as a power series by differentiating Ž *" Il for x| < 1. What is the value of S? 1- x n=0
1. Given that u = 101 - 59 + 3k and 7 = -4î +29 - k, compute each of the following. (a) 5ū + 2v (b) ||5u + 20 || (c) ü. (d) ūxy (e) the angle between ū and (f) the projection of u along v
For the Beam shown, find the reactions 1o diagrams indicating all critical values. (1-5 points) 16. plete shear force and bending moment 2 k 2k 2k 3K 3 k lo Lo Lo (o For the Beam shown, find the reactions 1o diagrams indicating all critical values. (1-5 points) 16. plete shear force and bending moment 2 k 2k 2k 3K 3 k lo Lo Lo (o
QUESTION 18 Find the value of k that makes the antidifferentation formula true (4x - 7)' * dx = k(4x – 7)12+C
(a) Determine whether the series converge absolutely, converge conditionally or diverge k 2 (2 + k3) (k!)3 (3k)! cos kT In k k= 1 k-1 (a) Determine whether the series converge absolutely, converge conditionally or diverge k 2 (2 + k3) (k!)3 (3k)! cos kT In k k= 1 k-1