3. [-/10 Points] DETAILS SCALCET8 12.5.007. Find parametric equations for the line. (Use the parameter t.)...
7. (-/1 Points) DETAILS LARCALC11 11.R.037. Find sets of parametric equations and symmetric equations of the line that passes through the two points. (For the line, write the direction numbers as integers.) (7, 0,5), (10, 11, 9) (a) Find sets of parametric equations. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) (b) Find sets of symmetric equations. *57 - 11 3+5 0 - 7x + 3 = 11y = -5z +...
Question 12 Find parametric equations for the line of intersection of the planes - 2y+z= 1 and 2x + y - 3x = -3. Does the line L intersect the plane 2x - y - 3x = 1? If so, at what point? Note: This is the review exercise at the end of Lecture 2.
please answer both (12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to the line with parametric equations 3+t,y 2-t and z 3+2t. (13)(8 pts) Find the unit tangent vector (T(t) for the vector function r(t) - costi+3t j+ 2sin 2t k at the point where t 0 (12(8 pts) Find parametric equations of the line through the point (2,...
PARAMETRIC EQUATIONS CAN YOU EXPLAIN WITH ALL DETAILS THANK YOU. Q1 10 Points Consider the line l : 771 = y2 = 0 Q1.1 5 Points Find A, B, C and D where Ax + By + Cz + D = 0 is an equation of the plane containing l and passing through the point (1,1,0). Q1.2 5 Points Find the parametric equations of the line which is contained in the plane x + y + 2z = 2, and...
Find sets of parametric equations and symmetric equations of the line that passes through the two points (if possible). (For each line, write the direction numbers as integers.) (5. -3, -2). (a) parametric equations (Enter your answers as a comma-separated list.) (b) symmetric equations XY 2+2 17 9 5-x 17 11 x-5 y - 3 15 11 2+2 9 5- X 17 Y = 2+2 9 Find f and fu, and evaluate each at the given point. y! f(x, y)...
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 4 In(t), y = 6/t, z = t4; (0,6, 1) x(t), y(t), z(t) = X
24. Find the parametric and symmetric equations of the line that passes through the point (2, 1,-3) and is perpendicular to the planex+2y+2- 13. 14 marks] 25. Find the following quantities: 14 marks] a. (1+2)8- 5-5 b 23 (52 -1+i
(1 pt) (A) Find the parametric equations for the line through the point P = (2, 3, 4) that is perpendicular to the plane 2x + 1 y + 3z 1 . Use 't', as your variable, t 0 should correspond to P, and the velocity vector of the line should be the same as the standard normal vector of the plane. X= y- (B) At what point Q does this line intersect the yz-plane?
4. [3/8 Points) DETAILS PREVIOUS ANSWERS SCALCCC4 9.5.013. Consider the line that passes through the point and is parallel to the given vector. (4, -3,6) < 1, 2, -3> (a) Find symmetric equations for the line. 2-6 -(x-4)= 2 3 y +3 (b) Find the points in which the line intersects the coordinate planes. (5 X IX 0) (0,9 X -6 (4 x 0, 4 X) 1 Consider the line that passes through the point and is perpendicular to the...
6. [-12 Points] DETAILS SCALCET8 14.5.012. Use the Chain Rule to find Oz/os and Oz/t. z = tan(u/v), u = 6 + 9t, v = 9s - 6t дz as oz at Need Help? Read It Talk to a Tutor 7. [-13 Points] DETAILS SCALCET8 14.5.021. Use the Chain Rule to find the indicated partial derivatives. z = x4 + x2y, x = 5 + 2t - u, θz oz oz when s = 4, t = 3, u =...