#48 #46 and #48 In Exercises 39-48, find a parametrization of the curve. 39. The vertical...
(a) Find symmetric equations for the line that passes through the point (2, -2, 8) and is parallel to the vector (-1, 3,-4). -(x + 2) = 3(y-2) = -4(2 + 8). Ox+2-472.28 2-8 -4 -(x - 2) = 3(y + 2) = -4(2-8). *+2.1;2-28 (b) Find the points in which the required line in part (a) intersects the coordinate planes. point of intersection with xy-plane point of intersection with yz-plane point of intersection with xz plane
please answer all qustion on expination needed 1 Find a vector of magnitude 3 in the direction of v=5 i - 12 k The vector is i+i+k (Simplify your answer. Use integers or fractions for any numbers in the expression) 2 Give a geometric description of the set of points in space whose coordinates satisfy the given pairs of equations x2 + y2 +(2+152 = 169, z= - 3 Choose the correct description O A. The line through (5,0. -...
(a) Find symmetric equations for the line that passes through the point (4, -2, 6) and is parallel to the vector (-1, 3, -4) x+ 4-Y+ 2 3 z-6 -4 -(x +4) 3(y 2)-4(z +6). y+2 z-6 3 -(x-4) 3(y +2) -4(z- 6). o4-2-116 = Y - 2-z+6 3 (b) Find the points in which the required line in part (a) intersects the coordinate planes. 5 ,5,0 x ) point of intersection with xy-plane 10 7 point of intersection with...
22. Find parametric equations of the line tangent to the sur- face z at the point (3, 2, 72) whose projection on the xy-plane is (a) parallel to the x-axis; (e) parallel to the line x y (b) parallel to the y-axis; 1. The system in Fig,1 is in equilibrium, with the string in the center exactly horizontal. Block A weighs 40 N, block B weighs 50 N, and angle is 35°. Find (a) tension Ti. (b) tension T2. (c)...
G00 Rapid move G0 X# Y# Z# up to eight axes or GO Z# X# Gol Feed Rate move G 1 X# Y# Z# up to eight axes or G1 Z# X# G02 Clockwise move X# Y#1# J# G03 Counter Clockwise move X# Y#1# G04 Dwell time G04 L# G08 Spline Smoothing On G09 Exact stop check, Spline Smoothing Off G10 A linear feedrate controlled move with a decelerated stop G11 Controlled Decel stop G17 XY PLANE G18 XZ PLANE...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...