P1 . Ch 1S (30%) !Electric force/neld] Dir a) q 10 uC in Fig. I. Find the electric force exerted on gu Mag b) Qi-o,-20 pC in Fig. 2. Find the electric field at point P., Mag.----, Dir IfQ10 HC, Q-10 HC in Fig. 2. Recalculate electric field at P. Mag. Fig. 2 Dir y-axis /cm y-axis /cm x-axis /cm x-axis /cm
Use the Gauss Jordan method to find A. Wit exists. 2-7 A= 1 3 2. 3 10 7 10 3 10 5 OA OB. 1 .10 1 5 1 5 10 OD 3 10 7 10 Does not exist Oc. 1 10 1 5 Click to select your answer. MacBook Air
4. (10 points) Find the general indefinite integral. (a) [1+ya+z dir T (b) sinº(@)cos(0) do » sin®®) (Make the substitution u = sin(0))
Find the general solution of the given higher-order differential equation. du du d2u du 2-4 8 + + 40 = 0 dr +49 dr4 d3 dr2
QUESTION 5 The integral dir 1 +4 is to be approximated numerically. (a) Find the least integer M and the appropriate step size h so that the global error for the composite (10) Trapezoidal rule, given by -haf" (E), a<$<b, is less than 10-5 for the approximation of I. 12 (9) (b) Use the two-term Gaussian quadrature formula and 6 decimal place arithmetic to approximate I. (Hint: Parameters are g =1, i = 1, 2;rı = 0.5773502692, r2 = -0.5773502692)...
Find the particular solution of differential equation -t du 2e dt at, initial condition, a 2(0)=1.
Find the indefinite integral ſ (1 + 3u)5 du. Ans:
Find the indicated derivative. d (340.5 – 2u2.5) du d du (340.5 - 2u2.5) = 0
(1 point) (a) Find dy du as a function of t for the given parametric equations. 2 = t- +5 y 6 – 2t dy dc (b) Find dy as a function of t for the given parametric equations. dc 2 4t – 6 +5 – +9 Y dy da =
dir 4. Evaluate Le Jo 1+ 206