6. Find the point of inflection of the following curve. Express your answer as (a,b) Ex. (1,2) * y = x' +3x2 + 2

Q: The line y = 3x + k is tangent to the curve y = x when k is equal to

A: Given,        The line y=3x+k is tangent to the curve y=x3

Q: Find an equation of the tangent to the curve x = 5 + In t, y = t2 + 2 at the point (5, 3) by two…

A:

Q: Find the tangent and normal line to the curve at the specified condition.  y = x ( 4x - 1 )2 at…

A: The tangent line is a straight line to the curve that touches the curve at a single point. The…

Q: Find the equation of the tangent line to the curve x + y² = 4 where the slope of the curve is 1.…

A:

Q: 4 Find all the points on the curve x2 + xy + y? = 3 where the tangent to the curve is a vertical…

A:

Q: Find the equation of the tangent line to the curve y = 1/x at x - -1 O a. y= -3x-4 b. y = 3x - 4 O…

A: The slope at point (x1,y1) of the function f(x) is given by :     The equation of the tangent line…

Q: Find the equation of the tangent line to the curve ³+y³ = 9 at the given point (1, 2). a. 4x-2y=10 O…

A:

Q: Consider the curve defined by the equation y3+xy+2=0.  Show that there are no points on this curve…

A: Consider the given curve define by the equation:

Q: 9. Find the equation of tangent and normal for the curve xsin2y = ycos2x at 4'2

A:

Q: Consider the curve defined by the equation y³ + xy + 2 = 0. Show that there are no points on this…

A: Given Equation of curve   y3+xy+2=0  ---(1)

Q: Find the length of the curve parameterized by x = 2 + 3t² and y = 3 + 2t³ from t=0 tot = 3.

A: A detailed solution is given below

Q: 4. Find the equation of the tangent line and normal line that passes through the circle (x – 2)² +…

A:

Q: Find the equation of the tangent line to the curve 3 x' + 2 y – 22 = 3 xy – x at the point (2, 2).…

A:

Q: x = e' and y = te %3D

A:

Q: The equation for the tangent line to the curve y=x3 which passes through the point (0,2) is y=mx+b…

A:

Q: Find the slope of the tangent to the curve x+ xy + y = 7 at (1, 2). The slope is (Enter undef if the…

A: Find the slope of the tangent line using implicit deffentiation

Q: Show that the curve of y = 2e2z + 3r + 2r3 has no tangent line with slope 2.

A: The given curve is y=2e2x+3x+2x3. Obtain first derivative as follows. dydx=ddx2e2x+3x+2x3=4e2x+3+6x2

Q: 2 2 18. At how many points on the curve + yš =1 in the TY-plane does the curve have a tangent line…

A:

Q: Find an equation for the tangent line to the curve y = 4 at the point (3,16). X - 1 Oy - 16 = -3(x -…

A:

Q: Find an equation of the tangent line to the curve at thegiven point.

A: Given: y=2x+1x+2, 1,1 for finding equation of tangent, we need to find slope of tangent  we know…

Q: 1) Find the equation of the tangent line to the curve: x* + xy – y = 7 at (3,2) %3D

A:

Q: 11.What is the slope of the tangent line to the curve y = 3x? – 5 at poin - O A. -7 О в. -5 O C. -6…

A: Differential equation

Q: 1. Find the slope of the curve x+ y² -6x-4y-21 0 at (0, 7). Compute also the tangent line and normal…

A: ## According to bartleby guidelines we supposed to do first question of multiple questions so kindly…

Q: Find the tangent line to the curve x = -/t + 1 , y = , y = \3t at the point def ined by t = 3

A: Using formula of equation of tangent line to the curve at given point.

Q: Calculate the equation of the tangent line to the curve 2r³ + xy +3x+ y = 2 at the point (0, 2).

A: To find the equation of a tangent line to the given curve at point (0,2).

Q: 4. Consider the curve given by r³ + y³ = 9ry. Find the equation of the tangent line at (4,2).

A: To find the slope of the tangent we need dydx at (4,2)…

Q: d the equatiom of the tangent line to the curve xy – 7 = Vx + y² at the point (5,2).

A: For finding tangent line to the curve , find the derivative of the function and put the value of…

Q: What Is the equation of the tangent line and normal line to the curve y= at (4, -4) O a. TL:…

A: Topic = Application of Derivative  Correct option = d

Q: What is the equation of the line tangent to curve defined by x + 4y² = 17 at the point (1, -2)?…

A: equation of line tangent

Q: 46. Show that the sum of the x- and y-intercepts of any tangent line to the curve Vx + Jy = \c is…

A:

Q: Find the slope of the tangent line to the curve 4.x + xy – 4y° = 37 | at the point (3, – 1).

A: Formulae: 1.d/dx(f(x).g(x))= f'(x) . g(x) + g'(x). f(x) 2. Slope of any curve, f(x) =m= d/dx{f(X)}

Q: What is the equation of the tangent line and normal line to the curve y = -8 at (4, – 4)? Оа. TL: 2x…

A:

Q: If y-mx+B is thế équation of the tangent line to the curve X +2xy – y+ x = 39 at x=5 with a negative…

A: At x=5 we find y The points are (5, 1) and (5, 9)

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

A: We know  ,        The equation of tangent is :              Y - Y1 = m ( X - X1)  The equation of…

Q: Find the slope of the tangent to the curve y at (4, 2) xy – 4 dy dx 需= (Enter undef if the slope is…

A:

Q: 20. Locate the points on the curve xy (1 - x- y)2 where the tangents lines parallel to the x- axis.

A:

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

A:

Q: 2. The coordinates of the point where the curve y = Inx has a tangent with slope of e are: d. (e,-1)…

A: Slope is already given. And for slope we have to find dy/dx  and then simplify.

Q: Consider the curve satisfying y" = 6x and is tangent to the line y = 5– 3x at x = 1. What is y' (2)?…

A: Given: y''=6xand tangent to the line y=5-3x at x=1To find y'(2)=?

Q: FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 2.…

A: Given: x2y3-2xy=6x+y+1 To Find: Equation of the tangent line and normal line of the given curve at…

Q: Find the point on the curve y=/2 for which the tangent ine to the curve is perpendicular to the line…

A:

Q: Find the equation of the tangent line to the curve y = + 6x at its point of intersection with the…

A: The tangent of any given function is the line that touches the curve of the function at only one…

Q: 9. Find the equation of tangent and normal for the curve xsin2y = ycos2x at A

A:

Q: 12)What is the slope at (1,2) for curve define by xy^2=4?

A:

Q: 14. Find the point(s) of the tangent to the curve h(x) x3 5x2 – 8x + 3 with same slope 3 4 as 48x +…

A: first find the slope of curve h(x) then find the slope of line. Therefore equate both slope in the…

Q: 4. Find the equation of the tangent line to the curve at the specified value of the parameter: x =…

A:

Q: 4) Find the equation of tangent I point line to the circle below at point (1,-3). * x² + y² – 2x –…

A: Consider the given equation of the circle, x2+y2-2x-4y-20=0 The equation of the tangent line passing…

Q: Find the equation of the tangent line to the curve xy +xy 12 al the point (6, 1).

A: