Find the slope of the tangent line to the cerve, x-xy°+Iny= 24 at the point C3,2)

Q: ) Find symmetric equations for the tangent line to the graph of f(r, y) = at (1, 2, 2) in the plane…

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Q: Prove that the point of the tangent intercepted between the axes at any point on the curve xmyn=am+n…

A: Prove that , The point of the tangent intercepted between the axes at any point on the curve…

Q: 25. Find equations of all lines having slope −1 that are tangent to the curve y 1/(x − 1). = 1/4…

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Q: Compute for the interval [2, 3], where y = 6x – 1. Дх Ду 6 Ax What is the slope of the tangent line…

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Q: Show that the point (2, 4) lies on the curve x3 + y3 - 9xy = 0. Then find the tangent line and…

A: Given: f(x, y) = x3 + y3 - 9xy = 0 To find:  Equation of tangent and normal to the curve at point…

Q: (a) Find the equation of the tangent line to the curvey = 2 sec x – 4 cos x at the point (, 2) %3D

A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Find the length of the curve y2 = x3 from the origin to the point where the tangent makes an angle…

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Q: 2) Find and sketch the circle of cur vature at the point on the curve y = x2 where the tangent line…

A: To find and sketch the circle of curvature at a point on the curve y=x2 , where the tangent line has…

Q: Find equations of the tangent line and normal line to the curve at the given point. (1, 0.25) y=…

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Q: The slope of the tangent line y = esec²x at ( 0 , e) is

A: The given curve is  y = exp(sec2x) GGiven point is (0, e)

Q: (a) What is the equation of the line that is tangent to the circle of radius 9 at (0, – 9) and whose…

A: Given:  A circle x2 + y2 = 92.  ---------------------------------------------------------…

Q: Find the equation of the tangent plane to z = In(x?y) – x/ỹ at (-,4). %3D

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Q: FIND THE EQUATION OF THE TANGENT AND THE NORMAL TO THE CURYE Y =5X' AT THE POINT (1. 5).

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Q: Find the equation of the tangent line to the curve y = IVa at the point (16, 64). %3D y =

A: The standard form of the tangent line helps to find the required equation of the line. The standard…

Q: Determine if line XY is tangent to circle Z. Please show work.

A: using pythagoas theorem

Q: Calculate the length of the tangent line, normal line, sub-tangent and subnormal from: a. 4x² + 9y =…

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Q: Find the points on the lemniscate where the tangent is horizontal. 8(x2 + y2)2 = 81(x2 − y2)

A: The equation for the lemniscate

Q: Find the coordinates of the points on the curve y= x' + 5x + 3 at which the tangent: makes an angle…

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Q: The slope of the tangent line to the curve + 2y? = 2x² + y at the point (1, 1) is Select one: 3. O 2…

A: Explanation of the answer is as follows

Q: Find equation of the tangent an ine to the carve ad X= Xo, ' line

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Q: Find the equation of the tangent line to the curve y = rVI at the point (4, 8). %3D

A: We have to find the equation of tangent

Q: Prove that there no line through the point (0,1) is tangent to the graph of y = x*.

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Q: Ex – 4y + 2 = 0 at (1,2) 9, tangent line II to the line 4y tangent line I to the line x – 0 at r = 3…

A: 9. The given curve is x2-xy+2y-2=0, at x=3. Put x=3. 32-3y+2y-2=09-y-2=0y=7. The point on the curve…

Q: Find an equation of the tangent line at the point indicated. y = Cos x, π/3

A: To find an equation of the tangent line y = cos x, at the point x=π3 At point x=π3, y=cosπ3y=12 The…

Q: The slope of the tangent line to the curve y at the point ( 5, is: The equation of this tangent line…

A: Given curve is : y=3x To find the slope of tangent at the point 5,35 and equation of tangent in the…

Q: a, given that the line ax+y+1 = 0 is tangent to the grapl

A: We have to find the value of a according to the given information

Q: is the tangent line to y= 1/2arctan(1/5x) at the point (5,π/8)?

A: Answer and explanation is given below

Q: 2. Find the slope of the tangent line to the curve x? + y? = 1 at the point ) %3D

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Q: How many tangent lines to the curve y = x/(x + 1) pass through the point (1, 2)? At which points do…

A: The tangent lines to the curve y=xx+1 passes through the point (1, 2)

Q: A curve like Y = is called a serpentine. 1+2x2 3 n equation of the tangent line to this curve at the…

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Q: on of the tangent to y = 3e" + 3ex that is parallel to

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Q: Find equation for the tangent line at (-l,1) , then an to the curve y= | sketch them togethor

A: Recall: Slope -point intercept form: y-y1=m(x-x1) ; where (x1,y1) is given point and 'm' is the…

Q: Find an equation of the normal line to y = x2 at the point (2, 4). (The normal line at a point is…

A: y=x2 Differentiating with respect to x, we get dydx=2x Now slope of the tangent line at 2, 4 is,…

Q: The slope of the tangent line to the curve C at the point (1, 2) is A) 4 B c) 2 D - 4 2.

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Q: Find the cuaatune of the curve dlefied by 1I cost Sin whore is

A: In the given question we have to find the curvature of the curve r→(t)=1rcost,1rsint,0where r>0…

Q: . Find the slope of the tangent line at the point P of (x² + y² )° = 4xy; P(1,1).

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Q: At what point is the tangent line to the curve y° = 6x² perpendicular to the line 2x – y – 1 = 0?…

A: Given: y3=6x2..(1)2x-y-1=0y=2x-1...2   As we know that, iI two lines are perpendicular to each other…

Q: Let point E lie in the exterior of OP. How many tangent lines can be constructed to OP from point E?

A: two tangent line can be drawn to a circle from a point E outside of the circle.

Q: At what exact point on the curve y = 9 + 2ex 5x is the tangent line parallel to the line 5x – y = 4?…

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Q: Let ℓ be the tangent line to the parabola y= x2 at the point (1 ,1). The angle of inclination of ℓ…

A: Given equation of parabola,y = x2       ................(1)Slope of line l is m,m = tanϕ = dydxat…

Q: slope of the tangent to the curve y2x+ y2x2 =6at (2,1) is

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Q: Estimate the slope of the tangent line to curve at the given point(x,y)

A: The given graph of the curve and its tangent line is:

Q: Find the tangent lines to curve x² + 2y2 = 9 that is perpendicular to line 4x – y = 6? %3D

A: Given the equation of line is 4x-y=6.   Rewrite the equation in slope intercept form. y=4x-6   Thus,…

Q: The slope of the tangent line to the graph of y = In(ry) at the point (e, 1) is .2 Select one: a.-e…

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Q: Find the tangent line to x^6 + y^6=2 at (1, 1).

A: Given : x6+y6 = 2

Q: (a) Find the equation of the tangent line to the curvey 2 sec x – 4 cos x at the point (÷, 2)

A: Tangent line to the curve y=f(x), where f(x) is a function of x at point x0, y0is given by:…

Q: The slope of the tangent line to the graph of y = In(ry) at the point (e, 1) is

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Q: Find the tangent plane to the equation 5e* бу at the point (12, 24, 5) Z =

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Q: Find all points on the curv of the tangent line is -1.

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