25 50. (x² + y²)² = -xy²: (1, 2) 4 yA

Q: Find an equation of the tangent line to the curve 2(z² + y°)² = 25(æ² – y³) (a lemniscate) at the…

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Q: Find the equation of the tangent to the curve y = x + at point (1,3) Select the correct response: 4х…

A: We will be finding the equation of the tangent to the curve y = x+5/x. Here,          y'=x+5x'…

Q: Find the slope of the tangent line to the curve - 3a? + xy + 3y³ = 45 at the point (– 3, 3).

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Q: 3. Find the equation of the tangent line to the curve defined by the equations: x(t)=t²-4t,…

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Q: Find the equation of the tangent line to the curve y = 5sec(x) -10cos(x) at the point (pi/3,5).…

A: Given query is to find the equation of the tangent.

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: Find the equation of the line which is tangent to the granh of y .3r2 2r + 4 at tho

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Q: If y=mx+b is the equation of the tangent line the curve y = x- 3x +5, which is parallel to the…

A: We will solve the problem

Q: 33. Find an cquation for the line that is tangent to the curve y = (1-r)/(1 +r) at r = 2.

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Q: What is the equation of the Tangent Line to the curve y = 3 x – 4 x 2 at (-2, – 22)7 A 19 x + y = 60…

A: Topic = Application of Derivative  Correct answer = C

Q: Q1)a) Find line that are tangent the curve x2 + xy – y² = 1 at the point (2,3)

A: Explanation of the solution is given below...

Q: 3. Find the equation of the tangent line to the curve defined by the equations: x(t)=t²-4t,…

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Q: find equation for the lines that are tangent andnormal to the curve at the given point. ex + y2 = 2,…

A: Given: Equation of curve ex+y2=2 and the point 0,1, To find: Equation of tangent and normal line to…

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…

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Q: 3. Find the equation of the tangent line to the curve defined by the equations x(t)=t2-4t,…

A: To find the equation of the tangent line to the curve defined by the equations, xt=t2-4t, yt=2t3-6t,…

Q: Find the equations of the tangent lines x = t3 − 6t, y = t2 at the point where the curve crosses…

A: To find the equations of the tangent linesx=t3-6t,y=t2 at the point where the curve crosses itself.…

Q: (b) Find the equation of the line normal to the tangent at the point (1,4) on the curve x'y+ xy =…

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Q: The equation of the tangent line to the curve x² + y? = 9, at (7,-18) is 7 y = 18 7 (х — 7) — 18 18…

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Q: Find the equation of the line tangent to the curve 3t2 + 8,y = 8t + 3 at t = 2

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Q: The equation of the tangent line to the curve a? +y = 16, at (4,-13) is 4 13 13 (x – 4) + 13 4 4 y =…

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Q: Find the equation of the tangent line to the curve defined by the equations, æ (t) = (2t + 1)², y(t)…

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Q: 2. Determine the x-coordinate of the points where the tangent to the curve y = (x – 2)²(x + 3) is…

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Q: 2) Find the points on the curve where the tangent is horizontal or vertical. x = t2 – 8t, y = 2t3 +…

A: A parametric equation of a curve is given by: x = t2 - 8t    and    y = 2t3 + 3t2  We have to find…

Q: 6.) Find the equation of the tangent lines at the point where the curve crosses itself x = t³ – 6t,…

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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: 3 - 6t +1 x =ť° +• ;teRat t= 4 y=t° - 3t² – 9t –1

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Q: The equation y? (y² – 4) = x² (x ² – 5) is known as the devil's curve. Give an equation for the…

A: Given  :

Q: Find the equations of the tangent lines x = t2 − t, y = t3 − 3t − 1 at the point where the curve…

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Q: Given the curve y= x^3 - 4x +1 . Find the equation of the tangent at the points where the slope of…

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Q: The equation of the tangent line to the curve +y =64, at (6,-12) is 12 y=D (-6)+12 6. 6. 12 -6) – 12…

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Q: Find the equation of the line tangent to the curve x = 3t2 + 8 , y = 8t + 3 at t = 2

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Q: If a curve is given by x(t)= t3 - 4t2 + 4t +3 and y(t)=t+3, then the equation of the line tangent to…

A: No. The line is not tangent to the curve at the point (3,5). The following picture shows the graph…

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

A: To write an equation for tangent line to the curve at a given point, we calculate the slope at the…

Q: find the equation of the line TANGENT of the given curve for x=pi/6 y=5cos(2x)

A: Explanation of the answer is as follows

Q: Consider the following curve. y = 2x2 - 10x + 1 Find the slope m of the tangent line at the point…

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Q: Q4\ Find an equation for the tangent line drawn to the circle (x- 3)2 + (y+ 3)2 = 50 at the point P…

A: Here, the given equation of the circle is (x-3)2+(y+3)2=50. We need to find the equation of the…

Q: Q1)a) Find line that are tangent the curve x + xy - y? = 1 at the point (2,3)

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

Q: If y=mx+b is the equation of the tangent line the curve y=x2-3x+5 , which is parallel to the secant…

A: Proceed as shown

Q: 2. Find the equation of the tangent line to the curve defined by the equations: x(t)=t?-3,y(t)=2t-1,…

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Q: Consider the curve that is given by the following equation 2/3 + y7/3 = 5 Determine the equation of…

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Q: 1.) Given 4x?– y? = 36, find its tangent line equation that must be perpendicular to the line…

A: Given:- curve :- 4x2-y2=36 Line:- 5x-2y-4=0 To find:- Given 4x² - y² = 36, find its tangent line…

Q: Find an equation of the tangent line to the curve 2(2² + y?)? = 25(x² – y²) (a lemniscate) at the…

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Q: At what point on the curve x = 9t2 + 6, y = t3 − 9 does the tangent line have slope 1/2?

A: Given parameteric equations of curve,   .x = 9t2 + 6 , y = t3 – 9   To find the point on curve…

Q: Find the slope of the tangent line to the curve (a lemniscate) 2(a² + y?)' = 25 (æ² – y²) at the…

A: The given equation of the curve: 2x2+y22=25x2-y2

Q: The equation of the tangent line to the curve a? +y = 25, at (8,-12) is. 12 (x+8) – 12 8 y = 8. y =…

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Q: Find the slope of the tangent line to the curve 2x + lay 4y 20 at the point (2,- 2).

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Q: Q4: L.Find the tangent of the curve y at the point (2,2) y = 31*+ 21 and x-1? 2. Find where

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: For the curve y= ax + bx? + 12x - 7, what values of a and b will make the tangents to the curve at…

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