Find the second derivative of the vector-valued function r(t) = (6t + 2sin(t))i + (4t + 3cos(t))j Question Help: video Question B Go/1 pt O Details Let r(t) = ( - 214 - 2, 13 - 514, 12). Find the line ([) tangent to r(t) at the point ( - 4, - 6, 1) L: (I, y, =) = Question Help: video Question 9 Go/1 pt O Details Let F(t) = (5t - 5, 2e-", 4el). Find the line ([) tangent to r (t) at t = - 1. L: (I, y, z) = Question Help: video Question 10 Go/1 pt O Details The curves , (t) = (5t, +3, - 5:") and Fa(t) = (sin( - 4f), sin( - 5t), {) intersect at the origin. Find the acute angle of intersection (8) in degrees. 8 = Question Help: Qvideo Question 11 Go/1 pt O Details The curves f(x) = x2 + 2x - 2 and g(x) = - 5x + 16 intersect at the point (2, 6). Find the acute angle of intersection in degrees. Question Help: video Question 12 Go/1 pt O Details Find the positive + when the vector r(t) = (10t, 743, 1012 - 25) is perpendicular to r"(#). Question 13 Go/1 pt O Details Let r (t) = ( - 5+# + 2, - 2e ", 4 sin(5#)) Find the unit tangent vector ?'(t) at the point * = 0. Round to 4 decimal places. T(0) = Question Help: DOvideo Question 14 Go/1 pt O Details Find the unit tangent vector to the curve defined by "(t) = ( - 5t, 5t, v/81 -+ ) att = -3. T( -3) =Find the second derivative of the vector-valued function r(t) = (6t + 2sin(t))i + (4t + 3cos(t))j Question Help: video Question B Go/1 pt O Details Let r(t) = ( - 214 - 2, 13 - 514, 12). Find the line ([) tangent to r(t) at the point ( - 4, - 6, 1) L: (I, y, =) = Question Help: video Question 9 Go/1 pt O Details Let F(t) = (5t - 5, 2e-", 4el). Find the line ([) tangent to r (t) at t = - 1. L: (I, y, z) = Question Help: video Question 10 Go/1 pt O Details The curves , (t) = (5t, +3, - 5:") and Fa(t) = (sin( - 4f), sin( - 5t), {) intersect at the origin. Find the acute angle of intersection (8) in degrees. 8 = Question Help: Qvideo Question 11 Go/1 pt O Details The curves f(x) = x2 + 2x - 2 and g(x) = - 5x + 16 intersect at the point (2, 6). Find the acute angle of intersection in degrees. Question Help: video Question 12 Go/1 pt O Details Find the positive + when the vector r(t) = (10t, 743, 1012 - 25) is perpendicular to r"(#). Question 13 Go/1 pt O Details Let r (t) = ( - 5+# + 2, - 2e ", 4 sin(5#)) Find the unit tangent vector ?'(t) at the point * = 0. Round to 4 decimal places. T(0) = Question Help: DOvideo Question 14 Go/1 pt O Details Find the unit tangent vector to the curve defined by "(t) = ( - 5t, 5t, v/81 -+ ) att = -3. T( -3) =