(1 point) In each part, find the two unit vectors in R2 that satisfy the given...
22:12 Back WeBWork : NYCkf: Assignm Previous Problem Problem List Next Problem (1 point) In each part, find the two unit vectors in R that satisfy the given conditions. 1. The two unit vectors parallel to the line -(3x + 3) are -4/sqrt(10) (4/sqrt(10) y and 2. The two unit vectors parallel to the line 2y - 4x - 1 are (-3/4 sqt(5/16) (3/4)/sqrt(5/16) and 3. The two unit vectors perpendicular to the 1-x are line y and Note: You...
The equations of three lines are given below. Line 1: y=-3x+7 Line 2: 8x-6y=-4 Line 3: 4y=-3x+5 For each pair of lines, determine whether they are parallel, perpendicular, or neither. Line 1 and Line 2: Parallel Perpendicular Neither Line 1 and Line 3: Parallel Perpendicular Neither Line 2 and Line 3: Parallel Perpendicular Neither
Find the x-intercept and the y-intercept of each equation. 33. - 3x + 2 y = 12 34 34. 2x – 3y = 24 CHAP FUN Find the slope of the line through each pair of points. 36. (-8, 6) and (-8,-1) In ma relati types an ir 35. (-12, 3) and (-12, -7) 37. (6, -5) and (-12,-5) Find the slope of each line. 38. 3x – 2y = 3 40. x = 6 39. y = 5x +12...
Write a slope-intercept equation for a line passing through the given point that is parallel to the given line. Then write a second equation for a line passing through the given point that is perpendicular to the given line. 43. (3,5), y = 4x+1 44. (-1,6), f(x) = 2x + 9 45. (-7,0), y = -0.3x + 4.3 46. (-4.-5), 2x + y = -4 47. (3.-2), 3x + 4y = 5 48. (8,-2), y = 4.2(x - 3) +...
Find the slope of a line perpendicular to the line y=xUse the slope-intercept form of a linear equation to write the equation of each line with the given slope and y-intercept.slope -3; y-intercept (0, -1/5)write the equation of the line passing through the given points. write the equation in standard form Ax+By=C(8,-3) AND (4,-8)Write an equation of each line. Write the equation in the form x=a y=b or y =mx+bThrough (-2,-3): perpendicular to 3x+2y =5Find the equation of each line....
MTH 261-A Test unit ! | Ench part of each problem Counds 7pts. 1. Find the domain of the function I f(x) = x - 4 2. Compute each limit. 3. Find the derivative dy for each function, Simplify results. all y = 5x + 4x² b. y = 6 x - 3 4. Find the second derivative of f(x). Simplify results. f(x) = (x²+2)5 so Write the equation of the line tan to the graph of y=x²-2x+7 I at...
Parallel lines have the same slope. Perpendicular lines have negative-reciprocal slope. Find the equation of the line with the given conditions. Write your answer in slope intercept form. Passes through the point (-2, 1) and is parallel to the line y = 3x -5. Passes through the point (-2, 1) and is perpendicular to the line y = 3x -5.
vectors. Need help with those questions please 1a). In three-space, find the intersection point of the two lines: (x, y, z) = (-1,2,0] + [3,-1, 4) and [x, y, ) = -6, 8, -1] + [2,-5, -3). b) Determine a direction vector in integer form of the line of intersection of the two planes 2x + 2y+2-12-0 and (x, y, z)=(2,0,0]+${1,2,0]+(1.0,-2) [2,3] 2. What is the distance between the point (-81) and the plane 5x-2-2y+52 [2] 3. Find the point(s)...
(1 point) Find two vectors vi and v2 whose sum is (2, -5), where vi is parallel to (3,-1) while v2 is perpendicular to (3,-1). V1 and
(b) (i) Given the function f(x,y)= xe' + 3x, find two unit vectors who are orthogonal to the gradient of f at the point P(3,0). (7 Marks) (ii) In which direction does f(x,y)= xey + 3x increase most rapidly at the point P(3,0)? What is the maximum rate of change at that point? (3 Marks)