=== 3. For the vector field = -2zi-2y-2k, find the flux through the ellipsoids: (x²+12+12) (a) (-19)2 + (-18)2 + (8-17)² = 1 15 15 18 (b) (x+1)+(-2)²+(x+3)² = 1

Suppose that r1(t) and r2(t) are vector-valued functions in 2-space. Explain why solving the equation r1(t)=r2(t) may not produce all the points where the graphs of these functions intersect.

Let c₁ (t) = esti + 3 sin(t)j + t7k and c₂(t) = e−³¹i + 2 cos(t)j – 8t¹k. (Enter your solution as a single vector using the vector form (*,*,*). Use symbolic notation and fractions where needed.) -[c₁ (t) + c₂ (t)] = dt

Let the vector C represents the coefficients of a polynomial pt=c1+c2t+c3t2+c4t3. Express the conditions p0=1, p'0=2, p1=1, p'1=0 in the form AC=b.

Let u = (1, 2, 3), v = (2, 2, -1), and w = (4, 0, -4). Find 2u + 3v - w. STEP 1: Multiply each vector by a scalar. 2u = 3v = -W = STEP 2: Add the results from Step 1. 2u + 3v - w = X

Find the dot product of ū = (3,-2) and v = (5,– 7). Select one: V29 29 (8,-9)

= Let [22] and y = [-4 v = 67 = [ - −2y = [ w=6x-2y = -4]. Find the following vectors.

Suppose the vector x characterizing the antigenic state of an influenza virus population changes from one season to the next according to the equation 23 Xt + 1 ¹ -[3.39]** 0 0.9 If the vector in the current season is [...] what was the vector in the previous influenza season? ↓ 1

Let x=<9,0>x=<9,0> and y=<−4,−2>y=<−4,−2>Find the dot product of xx and yy.     x⋅y=x⋅y=

a = 2 ,8 ,2 ,−2 ,−4,−3 ,−11, −4 ,9 ,7and b = 8,−1.SOLVE Ax =b for x , and write x in parametric vector form.