A line perpendicular to another line or to a tangent line is called a normal line. Find an equation of the line perpendicular to the line that is tangent to the following curve at the given point P y 13x+ 15; P(-1,2)

Q: Find an equation of the tangent line to the graph at the given point. 3(x? + y?}² = 100(x² - y?),…

A: 3x2+y22=100x2-y2 3x4+2x2y2+y4=100x2-y2 3x4+6x2y2+3y4=100x2-100y2 3x4+6x2y2+3y4-100x2+100y2=0 to find…

Q: . Find the lines that are tangent and normal to the curve at the given point x² + y? = y* - 2x,…

A:

Q: 2 Find an equation of the line L, where L is perpendicular to y =x and passes through the point…

A: Given a Line L which is perpendicular to  y = (2/3)x  at point (3,2)  Equation of line L is…

Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

A:

Q: The slope of the tangent line at any point (x, y) on a curve is 2yx. If the point (9, 3) is on the…

A:

Q: c. The curve y= Inx, the lines x 4 and the x-axis.

A:

Q: At the given point, find the slope of the curve, as requested. the line that is tangent to the…

A: Given To find the slope of the curve , take derivative Given point is (0,1)

Q: a) Find the distance between the point P=(9, 1) and the line 3x+4y=6.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the lines that are tangent and normal to the curve at the given point. x²y? = 36, (1,6) %3D

A: We will find first slope of tangent and then from the slop and tangent and point will find a…

Q: Find the equation of the tangent line and normal line to the curve ? = √? − 3 and whose normal line…

A:

Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

A:

Q: find equations for the lines that are tangent,and the lines that are normal, to the curve at the…

A:

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

A:

Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

A:

Q: 1. Find the equation of the lines tangent and normal to the curve 3x?y2=4x2-4xy. at the point…

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: 1) The equation uf the normal to the rurve y= 4x-3x² at the point C, is:

A: Product of slopes of two perpendicular lines is -1.

Q: B. Find the distance between the point (1. 1.3) and the line =z-3) OMI NOTL

A:

Q: At what point on the graph of y = is the tangent line parallel to the line 2x-4y = 3? (B) (5.) m…

A: Given the curve y = x2/2 we need to find the point where the tangent of curve y is parallel to the…

Q: The equation x+3y+4=0 is the normal line to the curve y=2x2-5x at (2, -2). Given that the line meets…

A:

Q: Find the slope of a line tangent to the curve of the given equation at the given point. y=(x^3)/4;…

A:

Q: B. Find the slope of the curve at the given point. 1.) y = x? – 5 at (1, -4) 2.) y = 3x? – 4 at (0,…

A:

Q: find equation for the lines that are tangent andnormal to the curve at the given point.xy + 2x - 5y…

A: Given : The equation is x y + 2x - 5y = 2 and point (3, 2).

Q: verify that the given point is on the curve and find the lines that are (a) tangent and (b) normal…

A:

Q: Find the slope of the curve x + y - 10y -3x +5 = 0 3-2x 2у-10 2x+3 10-2y 2x-3 10+2y 3+2x 2y+10 O…

A: We have to find slope

Q: Given that ƒ(1) = 2 and ƒ′(1) = 2, find the slope of the curvey = x ƒ(x) at the point (1, 2)

A: Given:  Given that ƒ(1) = 2 and ƒ′(1) = 2,  y = x ƒ(x) at the point (1, 2)

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Given: y=5x2+4 ; P3,49 we know that slope at given point 3,49 is given by y'3 so, for finding slope…

Q: What's is slope of each line

A: Given : A straight line.

Q: If m>0 and the points (m,3) and (1,m) lie on a line with slope m, then find m?

A: SLOPE OF A LINE PASSING THROUGH TWO POINTS   X1,Y1           AND   X2, Y2    IS…

Q: At every point of a certain curve, y′′ = 12x3 − 4x. Find the equation of the curve if it is normal…

A:

Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

A: Consider the given curve x5y5 = 32, normal at (2,1)

Q: find equation for the lines that are tangent andnormal to the curve at the given point.x^3/2 +…

A: Given: x32+2y32=17    at the point (1,4)

Q: Q1) A- Write an equations for the normal lines on the circle tangent at (x= 1) with (r-10),c(0,0),

A: Given Center of circle c0,0radius r=10To calculate : Write an equation for the normal lines on the…

Q: Determine the normal form of the equation of the following lines: a. line with whose equation is 2x…

A:

Q: Verify that the given point is on the curve and find the lines that are a. tangent and b. normal to…

A: Substitute the point (-3,-1) in the given equation.

Q: 2. Find the equation of the line that is tangent to the circle x + y = 25 at the point P(3,4)

A:

Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

A:

Q: find equations for the lines that are tangent,and the lines that are normal, to the curve at the…

A: Given: xy+2x-5y=2; 3,2 for finding equation of tangent, we need to find slopem1 of tangent  we know…

Q: find the distance between two given points 3. E(7,5) F(-5,0)

A:

Q: Determine all values of x for which the slope of the line tangent to y=x³ - 4x² +9x-1 is 5.

A:

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

A:

Q: find equations for the lines that are tangent,and the lines that are normal, to the curve at the…

A: Solution:- The given curve is  x+xy=6  ......(1) and point (4,1) we have to find equation of the…

Q: Consider the following. y = x6⁄5,    (1, 1)   Find an equation of the tangent line. Find an equation…

A: given that, y = x6/5    and     point is = (1, 1) We have to find the equation of tangent line and…

Q: Verify that the given point is on the curve and find the lines that are (a) tangent and (b) normal…

A:

Q: Find the slope of the curve at the given point. 7y^7+5x^9=2y+10x (1,1)

A: Slope = dy/dx

Q: Find the point on the graph of y = 1/(1 + x2) where the tangent line has the greatest slope, and the…

A: The graph of the function is drawn below.

Q: or the curve x²y²=9 at (1,3) find the equation of normal line

A: Given: x²y²=9

Q: Find the condition that the line ax+by=1 may be normal to the curve an-1y

A: Given problem is : Find the condition that the line ax+by=1 may be normal to the curve an-1y=xn…

Q: a. Find an equation for the line perpendicular to the tangent to the curve y = x' - 9x + 4 at the…

A:

Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

A: Given y6+x3=y2+12x To find the slope of the curve , take derivative Given point is (0,1)