You are standing above the point (2, 2) on the surface z = 15 - (3x² + 2y²). (a) In which direction should you walk to descend fastest? (Give your answer as a unit 2-vector.) direction = (b) If you start to move in this direction, what is the slope of your path? slope =

Q: 5y+2x=-10 Give the equation of the line parallel to Line 1 which passes through (-9,6) Perpendicular…

A: I have solved step by step in detail...go through the solution

Q: Parallel to y + 8x = 4, through (3, 4); slop- intercept form

A: The line is parallel to y+8x=4, passes through 3, 4

Q: What is (-3,-3) (-5,r)m=-9/2 on a line? Linear equations

A: Given query is to find the value of r and them equation of line.

Q: What is the general Cartesian equation of the line that intersects the X axis at the point (9,0) and…

A:

Q: Does the equation y=5csc(2x+6pi)- 6 include a vertical shift? Horizontal shift?

A: Given equation,  y = 5cosec(2x + 6π) - 6 Does it include horizontal shift and vertical shift?

Q: Perpendicular to 6x - 3y = 18, passing through (4,-3)

A: We have given,A line 6x - 3y = 18 and a point (4,-3)

Q: What is the equation of a line parallel to the line y=2x that passes through the point (0,4)?

A: Solution:      Equation of any parallel line to y = 2x is      y = 2x + c where c is constant.

Q: Parallel to y= -2x, passing through (0,1)

A: Required the equation of the straight line satisfying the given conditions

Q: Find the equation of a straight line perpendicular to the line 5x-3y+1=0 and passing throught the…

A:

Q: =12 Sho

A: Straight line: The slope intercept form is y=mx+c Where m=slope. c is y-intercept.

Q: Write an equation for the line through the point (-1, 2) that is (a) parallel, and (b) perpendicular…

A:

Q: Point (4, n) lies on the line through the point (1, 2) that is parallel to the line with equation 5x…

A: *****There is a problem with the given equation :  5x 3y = 8. so I will solve it by assuming two…

Q: Find equation of two different lines l2 and l3 through the point (6,-4) that are parallel to the…

A: The equation of line in standard form is ax+by=k where k is a constant. Since the equation of the…

Q: Whats Y+2=3/2 (X+2) in point-slope form and slope-intercept form?

A: Given equation is y+2=32x+2 We have to write the given equation into the point-slope form and…

Q: Find an equation of a line parallel to y-3x=5 and passing through the point (2,2) y=?

A: parallel to y= 3x + 5  p(2,2)

Q: Find the equation of the line that passes through these two points (99,258), (105,275) y=mx+b where…

A: Consider,Let,(99,258) = (x1 , y1)(105,275) = (x2 , y2)The equation of the line,y=mx+bwhere  m= slope…