Find the unit tangent vector, the principal normal vector, and an equation in x, y,z for the osculating plane at the point on the curve corresponding to the indicated value of t. rtí) = (3cos(2t))i +(3sin(2t))j+2tk t=1/4Pi (T=3/10root10i+1/10root10k, N=j, plane(x+1+3z-3Pi)=0) (T=3/10root10i+1/10root10k, N=-j, plane(x+3z-3/2Pi)=0) (T=3/10root10i+1/10root10k, N=-j, plane(2x+2-3z+3/2Pi)=0) (T=3/10root10i+1/10root10k, N=j, plane(-x+3z-6)=0)

Question 1(multiple choice worth 1 points)(07.06 mc)a group of students must collect at least $150 to organize a science fair. they have already collected $30. which graph best represents all remaining amounts of money, in dollars, that thestudents should still collect to organize the science fair? -210 -180 -150 - 120 -90-60 -300306090 120 150 180 210-210 -180 -150 - 120 -90 -60 -30 0 30 60 90 120 150 180 210-210 -180-150 - 120 -90-60-300 30 60 90 120 150 180 210-210 -180 -150 - 120.90 -60 -30 0 30 60 90 120 150 180 210

Part a : solve -vp + 40 < 65 for v part b : solve 7w - 3r = 15 for r show your work .

What are the values of a, b, and c in the quadratic equation 0 = x2 – 3x - 2? a = 1, b = 3, c = 2 a=, b = -3,c=-2 a = 1, b = 3, c= 2 a = 1.0= -3, c = 2