2. Find the equation of the tangent and normal lines at a given point on the curve. x²y² – 10y + 8x = 0 at pt. (2,4)

Q: 1. Find the equations of tangent and normal lines to the curve whose equation y? - 6x2 + 4y + 19 = 0…

A:

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=x2-x, P4,-2 We know that for any given functiony=fx slopem of tangent at pointx1,y1 is…

Q: Find the equation of the curve y = f(x) as shown in the figure with line tangent to curve at P(x ,…

A: The slope of the tangent at a point on a curve is equal to the derivative of the curve at that…

Q: 1. Find the equations of tangent and normal lines to the curve whose equation y? – 6x2 + 4y + 19 = 0…

A: We have to find equation of tangent and normal

Q: 1 The slope of the tangent line to the graph of y = at a = 1, is 3e². %3D e (r + 2) Select one: a.…

A: Given curve: Now,

Q: 5. Find the equation of the tangent and normal lines to the curve x = t2 – 2t, y= t3 - 3 when t =…

A: Firstly we find Slope of tangent and slope of normal to the given curves and then we will find…

Q: 1. Find the equations of tangent and normal lines to the curve whose equation y? – 6x? + 4y + 19 = 0…

A:

Q: Consider the curve in the xy-plane represented by the two equations below. The slope of the line…

A:

Q: find the equation of the line tangent to the curve at the given point x2y2=4y ;(2,1)

A:

Q: (5) Find the equations of the normal and tangent lines to the curve at the point (1,2). y= =19x+59…

A: Differentiate both sides w.r.t. x.

Q: Find the equations of the tangent line and normal line to the curve at the given point. a) (4,0.4) y…

A: If y=fx is any equation of the curve. Then its tangent line on point x1, y1 is given by: y-y1=mx-x1,…

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: 2- Find the equation of the tangent line to the curve 7xSin(3y) + 5y = 7 at y = C

A: Given problem:- Find the equation of the tangent line to the curve 7xSin(3y) + 5y = 7 at y = 0

Q: (i) Find the values of k for which y= kx + 2 is a tangent to the curve y= 4x2+ 2x + 3.

A: If y = kx +2 is tangent to the curve y=4x2+2x+3, then the point of intersection of the line and the…

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: 17. If the curve C is given by x= 3t² +1, y=4t, z = e, find the equation of the tangent line at the…

A:

Q: Find for x? + x +y² + 2 = 3xy the lines that are tangent and normal to the curve at point (3,2).

A:

Q: Q.3 a).Find equations of the tangent line and normal line to the curve y =x} - x+ 2 at the point (1,…

A: First find slope at given point then use equation of line

Q: Find y' and the slope of the tangent line to the graph of (3x-2y)5 = 2y2-9 at the point (1,2). y'=0…

A:

Q: (x2 + y2)2 = 4x2y, (1, 1) Bifolium: 1.4 1.2 (1, 1) 1 0.8 p.6 0.4 0.2

A: Find equation

Q: Which is the equation of the tangent line to the curve x +xy = 4+ y² at the point (4,6)? a) y-6=3(x-…

A:

Q: Find the slope of the tangent line for the curve r= 2cos 30 at the point where 8 = a) 1 b) - V3 c)-6

A: Given curve r=2cos 3θ Point θ=π6 Differentiate r with respect to θ drdθ=ddθ2 cos 3θdrdθ=-6sinθ We…

Q: Find the equation of the tangent and normal to the given curve at the given point. 1. 2x +3y 5 at…

A:

Q: (b) Find the equation of the normal to the curve 5x² +4y = 12xy at the point(2,1).

A: Given: 5x2+4y3=12xy, at point2,1 For finding equation of normal at point2,1, we need to find slope…

Q: 1) Given the curve 2x? + y3 = x3 + y? find the x-intercept of the tangent line at the point (2,1)

A: We find dy/dx using the implicit differentiation and we plug x=2 and y=1

Q: The equation of the tangent line to the curve at the given point. x2 v2 2-13 = (1, 1) is %3D 100 4…

A:

Q: Find the equation of the curve, if at any point on the curve y "= 1- vĩ and it has a tange line at…

A:

Q: For the curve x2 + 6y² = -2 find the equation of: a) the tangent line at (2, 1) b) the normal line…

A:

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given equation of curve is y=x Given point is P(4,2). (a) Differentiating the given curve with…

Q: Find the values of a and b for the curve x2y +ay? -b if the point (2, 2) is on its graph and the…

A: Given x2y+ay2=b

Q: a. Determine the points where the curve 4x + 5y - y = 6 has a vertical tangent line. b. Does the…

A: a)  curve is 4x+5y2-y=6         Slope of tangent line is m=dydx    Differentiate the above equation…

Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

A: To find: The Equation of the tangent line and normal line to the ff.curves at the indicated point.…

Q: 4. Find the equation/s of the normal line of slope 2 to the ellipse x² + 2y² = 3. 5. At what point…

A:

Q: Consider xy2+x2y=6, find the slope of the tangent line at the point (1, 2)

A: Given curve: xy2+x2y=6 Find the slope of the tangent at point (1, 2).We know that slope of the…

Q: Find the equation of the tangent and normal line at the point indicated. Sketch the curve. y = x –…

A:

Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 1. Find the slope of the given curve at the indicated point a. y = x³ – 4x? + 3, at x = 2 b. y =, at…

A:

Q: 1. For y=In2x, determine the equation of a tangent line parallel to 2x-3y+1=0.

A:

Q: Sketch the figure of the described situation in the problem and then solve. Determine the equation…

A: Tangent and normal line: At the point of tangency, the normal line is defined as the line that is…

Q: Find the values of a and b for the curve x2 y + ay2= b if the point (1,1) is on its graph and the…

A: Find the slope of tangent line

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

A: a) find the slope of curve at point P(1,-3).Find the derivative of the following function.

Q: 2. x?y2 - 3xy = 4x +y+1 at (0, - 1)

A:

Q: 6. Consider the curve 5x - xy + y =7. The slope of the line tangent to the curve at the point (1,2)…

A: To find the slope of the line tangent at the point (1,2) is substituting the point in the dy/dx . We…

Q: I Find the equations of tangent and normal lines of the curves at given points: a. x3 + y2 – 3xy = 0…

A:

Q: Find y' and the slope of the tangent line to the graph of (3x - 4y)7 = 2y2-7 at the point (3,2).…

A: The slope of equation is defined in terms of m=dy/dx

Q: Find the values of a and b for the curve x²y+ay²=b if the point (1,1) is on its graph and the…

A: It is given that, x2y+ay2=b   ...(1)and4x+3y=7    ...(2) Here equation 2 represent a tangent line…

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

A:

Q: For the curve whose equation is given by z -3xy +y-4x+2y+1-0, deline the equalion of the tangent…

A:

Q: a. Determine the points where the curve 4x + 2y -y =1 has a vertical tangent line. b. Does the curve…

A: Consider the given curve 4x + 2y2 – y = 1

Q: 1. Find the equations of tangent and normal lines to the curve whose equation y? – 6x2 + 4y + 19 = 0…

A: Differentiation and find slope and use formula

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.