
(1 point) rı(t) = (1,1,5) ++(-2,4,1) rz(t) = (0,5, 2)+7(-1,0,4) Find the point of intersection, P,...
Question 1 d Calculate — [rı(1). 120] and — [rı(1) Xr2O] first by differentiating the product directly and then by applying the following formulas: dt d - [ri(t) r2(]=r(t) dt d r2 dri + - rz(t) dt dt dr2 dri -+- Xr2(1) dt dt d [rı(t) x r20]=r10) dt ri(t) = = cos ti + sin tj +6tk, r2(t) = 5i + tk Enter the vector i as 7, the vector j as 7, and the vector k as K....
Q.2: Using the loop rule, find the current flowing through each resistor. Given Rı=48.00, R2=8.092, Rz=16.022 and R=24.09. +L10.00 120.0V R3 L'em
Current through Rı, R2, Rz and R, are lablelled as I1, I2, I3 and I4 in the circuit below. If Rı = R2 = R3 = 2 Rd, which statement is true? € R1 w WWW 14 R3 R4 RE O I = 12 < 13 < 1 O I = 12 > 13 > I4 OI = 12 = 13 > IA Oh = 12 = 13 < It
7. Three point-like charges are placed as shown in the figure rı = r 50.0 cm Find the magnitude of the electric force exerted on the charge q2-Let q1 = 91 93 T1 r2
1 point) Suppose that the line l is represented by r(t)- (12+ 2t, 23 +6t, 8 + 2t) and the plane P is represented by 2x + 4y + 52-23. 1. Find the intersection of the line & and the plane P. Write your answer as a point (a, b, c) where a, b, and c are numbers. Answer 2. Find the cosine of the angle 0 between the line l and the normal vector of the plane P Answer:...
Find the point of intersection of the tangent lines to the curve r(t) = 3 sin(πt), 4 sin(πt), 6 cos(πt) at the points where t = 0 and t = 0.5.
In the circuit below, for R = 480 N, R = 240 2, Rz= 480 12, RA= 240 12, and EMF=212 V. Find the current through R. (in mA). R R: 누 R2 RA Answer: In the circuit below, for R = 480 12, R2 = 240 N, Rz= 480 N, R4= 240 N, and EMF=212 V. Find the power dissipated in Rz. (in mW). R RS M R2 Answer: A current of 9.0 A passes through a resistance R,...
Find the Laplace transform of the function:
1<2 f(t) = = { 0,5 -44 +7, 122 -25 L(S) = =e ( - ) 29-06- 3 S 3 (s) = 22 + 20) -- G+ :) + 3 (s) = e-25 + S
(1 point) A parametric curve r(t) crosses itself if there exist t s such that r(t)-r(s). The angle of intersection is the (acute) angle between the tangent vectors r() and r'(s). The parametric curver (2 -2t 3,3 cos(at), t3 - 121) crosses itself at one and only one point. The point is (r, y, z)-5 3 16 Let 0 be the acute angle between the two tangent lines to the curve at the crossing point. Then cos(0.997
(1 point) A...
(1 point) Find the point of intersection of the two linesh : x = 〈10, 18, 3〉 + t 〈4-k-2) and 12 : X = 〈 18, 19, 20) + t 〈 Intersection point: 4, 0-5) (1 point) The plane π is defined by the vector-parametric equation π : x(s, 1-(1,-8,6) + s 〈-1,-4,-3〉 + 1 〈3,-4,0). Find an equation for π in general form Plane equation
(1 point) Find the point of intersection of the two linesh : x...