4. A computer's current is given by i = i, sint cost. Find the root-mean-square current...
Q1- Calculate the RMS (root mean square) value of the waveform given in Fig. 1. i(t) - A12 Ai/21 0 0 DTG Ts Fig. 1
2. (a) Let i. Show that F is cnservative in R i. Let C denote the path 1+cost,2+sint,3), 0StS 4 Evaluate F. dr Justify your answer. iii. Find a function y: R3-+ R such that F iv. Evaluate F.dr where「is the path y =r', z = 0, from (0.0.0) to (2.8.0) followed by the line segment from (2,8,0) to (1,1,2) 22 marks) 2. (a) Let i. Show that F is cnservative in R i. Let C denote the path 1+cost,2+sint,3),...
Given ř(t) =< 2 cost, t, 2 sint > as a trace of a moving object. (a) Find the curvature of K(t). (b) Find the arc length when 0<t <31. (c) Find the unit normal and binormal vectors of F(t).
Please Solve As soon as Thank's Abdul-Rahim Taysir (Q7) (4 points) Find the Root Mean square error for the linear approximation y = 8.6 – 1.6x to the data (-1,9.9), (0,9), (1,7).
Given that yy(t) = cost is a solution to y" – y'+y=sint and yz(t) = 3 is a solution to y" – y'+y= 221, use the superposition principle to find solutions to the differential equations in parts (a) through (c) below. (a) y" - y' + y = 20 sint A solution is y(t) = 0
Nitrogen has relative molecular mass Mr = 28:0. Find the root-mean- square speed of nitrogen gas at 250 K.
Find f. f'(t) = 2t - 4 sint, (0)= 5 Select one: a. f(t) = 2t - 3 sint +5 O b. f(t)= +2 +4 cost +1 c. f(t)=12 - 3 cost-5 d. f(t) = x2 +3 cost e. None of these
4.6 N/m2 at 2 A spherical sound wave has a root-mean-square pressure fluctuation of source. Determine the root-mean square pressure at 6 m m from the
ce curve. Find Ñ, & for the space r(t) = (cost + tsint)i + (sint-tcast Jj +3k. 1 ③ Find and sketch the domain for at the function. f(x, y) = en (9-x²y²)
Suppose that the position of one particle at time t is given by Xi= 3 sint Yi = 2 cost 0 < t < 211 and the position of a second particle is given by X2 = -3+ cost y2 = 1+ sin t 0<t<21 (a)Graph the paths of both particles. How many points of ntersection are there? (b) Are any of these points of intersection collision points? In other words, are the particles ever at the same place at...