In Problems 13 and 14, plot each point in the xy-plane. Tell in which quadrant or on what coordinate axis each point lies. A13. (a) A = (-3,2) (d) D = (6,5) 14. (a) A = (1, 4) (d) D = (4, 1) (b) B = (6,0) (e) E = (0, -3) (b) B = (-3, –4) (e) E = (0, 1) (c) C = (-2, –2) (f) F = (6, –3) (c) C = (-3,4) (f) F= (-3,0)

Q: x y 5 -8 10 -9 -3 0 -2 5 -4 1 3 8 2 -2 -8 2 0 -4 -1 9

A: Correlation is a statistical measure that describes the size and direction of a relationship between…

Q: Problem #7: There is a line through the origin that divides the region bounded by the parabola y = x…

A: Solution:- Area is bounded by the parabola y=x-x2 and x-axis.   let line  y=mx divide the bounded…

Q: In Problems 35–46, find the distance d (P , P;) between the points P, and P,. 35. 36. 37. 38. 2 P, =…

A: As there are multiple questions , 35) is solved here.

Q: Find the distance from the point (3,-1, 4) to the line z -2+3t, y = -2t, z = 1+ 4t.

A:

Q: What is the distance between the line with Cartesian equation x-6 = y-1 =z and the line with…

A: Answer

Q: Find the equations of both lines that are tangent to the curve y = x - 3x2 + 3x - 3 and are parallel…

A:

Q: Use the Greek method described in Problem 55to find an equation of the tangent line to the circlex2…

A: The Greek method to find the equation of the tangent to a circle uses the fact that at any point on…

Q: Find the equation of a line normal to the graph of y = 3x+5/x−1 at x = 3

A:

Q: Perpendicular to the line y=−1/2x+1 containing the point (3,6)

A: Solution is done in step 2

Q: Find an equation of the tangent line to the graph 16x4 + y4 = 32 at the point (1,2). %3D 1) 5 1 -+x-…

A:

Q: What is the equation of the line tangent to the parabola y2=12x at point (2,2)

A: y2=12x  ⇒  4a=12                     a=3

Q: In Problems 31–40, plot each point. Then plot the point that is symmetric to it with respect to (a)…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: PROBLEM 1 Obtain a DE of the family of straight lines with slope and y-intercept equal. Draw some…

A:

Q: (10) The equation for line L through the point (1, -3) with slope 1/2 is : O y= 1/2 x+ 7/2 y=1/2 x -…

A: To find: The equation of line passing through the point 1,-3 with slope 12. Concept used:…

Q: What are the coordinates of the points in the graph of y2 – x² + 6x – 13=0 in which the tangent line…

A:

Q: 4. What is the equation of a line parallel to the diameter of circle A, with a center at (-5,7) and…

A: Given query is to find the line which parallel to the given line.

Q: In Problems 7 & 8, Find an equation in point-slope form, y-y1=m(x-x1), of the line through the given…

A:

Q: In Problems 23-32, plot each point. Then plot the point that is symmetric to it with respect to (a)…

A: We know ,if a point (x,y) lies on a graph the point symmetric to it with respect to: x-axis is…

Q: What are the coordinates of the points in the graph of y-x+6x-13=0 in which the tangent line is…

A: Given query is to find the point where tangent line is horizontal.

Q: In Problem ,find an equation of the line L.

A:

Q: In Problems 1–3, use P1 = (- 1, 3) and P2 = (5, - 1).1. Find the distance from P1 to P2.2. Find the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 21. Reflect in the y-axis. 5- 4- 2+ х -2 -3+ -4 T'(2, 2), V'(4, 1), W'(5, 4), X'(0, 4) b. T(-2, -2),…

A:

Q: Find the distance between the point (−3, 1) and the line 4x + 3y + 4 = 0.

A: Given standard equation of line 4x+3y+4=0 and a point (-3,1)

Q: In Problem ,find an equation of the line L.

A: As the line is passing through points (-2,1) and (0,0), we get the slope of the line as…

Q: 13) Find the equation in slope-intercept form that is tangent to (x- 1)² + (y + 2)² = 25 and passes…

A:

Q: Find the equation of the curve that passes through the point (3, 2) if its slope is given by y = dy…

A:

Q: Find the distance from the point (3,-1, 4) to the line a = 4 – t, y = 3 + 2t, z = -5+ 3t.

A: Given: point 3,-1,4 and equation of line x=4-t, y=3+2t, z=-5+3t Formula: The distance between point…

Q: 9. Reflect in the y-axis. 5- 3. > B -3- A (3, 3), В'(6, 3), С(5, 6), D'(0, 6) b. A(-3, 3), B'-6, 3),…

A:

Q: What is the distance between the line with Cartesian equation x-6 = y-7 = z and the line with…

A: Parallel lines have the same direction ratios.

Q: Find the equation of the line containing the point (3, 4) and parallel to the line 2x+ y=-3. 11 A. y…

A:

Q: Looking for solution to 12

A: Given:The equation -4x-2y+6=0.

Q: In Problems 25–34, find, if possible, the slope and y-interce i nil the straight line determined by…

A:

Q: Find the equation of the tangents: y=x² + 6x² + 10x + 8 parallel x-y= 2. to the line А.…

A:

Q: What is the distance between the line with Cartesian equation x-1 = y-6 = z and the line with…

A: Given:- The line with cartesian equation x-1=y-6=z and the line with the cartesian equation…

Q: 1. Plot the y-intercept at (0, 6). 2. Plot a second point 3 units down and 4 units right from (0, 6)…

A:

Q: Problem 50 At what point does the curve x² - 2x + y- 3=0 have a slope of -2. b. (2, 4) d. (3, 1) a.…

A: As we know that the first derivative of the function is equal to the slope of the curve at a point…

Q: The equation of the line is y -3, so y does not change. The x coordinates of the points on this line…

A: In this question we have given line y= -3 , means that the the value of y is -3 and value of x…

Q: What is the equation of the line tangent to the graph of y = (2x+3)/(3x-2) at the point (1,5)? 13x -…

A:

Q: 4. Find the equation for the line tangent to (persamaan garis şinggung) a. y= x2- 3 x + 5 at the…

A: The objective of the question is determine the equation of the tangent line.

Q: If i have the problem 4y - x = -4 , how do I write this in slope intercept form?

A: The given equation is

Q: If x^4+y=-4-2xyx4+y=−4−2xy then find the equations of all tangent lines to the curve when y=-4.y=−4.

A: x4+y=-4-2xy,  y=-4 Differentiating with respect to x, we get…

Q: What is the distance between the line with Cartesian equation x-4=y-4=z and the line with Cartesian…

A:

Q: Find the equation of the line tangent to the graph of y = 4x'-9x-7 at the point (1,8).

A: Method to find tangent at a point of any curve.

Q: Find the equation of line passing through (5, 8) and perpendicular to y - axis. Oy = 5 Oy= 3 Ov=0 Oy…

A: The general equation of the straight line is: y=mx+c Now, the slope of the y-axis is infinity. So,…

Q: 7 ) Find the equation of line L through the point 5,,5 intersecting at right angle the 2 line M with…

A:

Q: What are the coordinates of the points in the graph of y-x²+6x – 13=0 in which the tangent line is…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: What is the slope of the tangent line to the graph of the solution of y' = 3√√y + 7x³ that passes…

A:

Q: Determine the equation of the line parallel to y+1=0 and tangent to y = 3x – 5x + 4 -

A: Recall that the slope of the parallel lines is equal. And the slope of the tangent line at any point…