Use the implicit derivation to find the equation of the line tangent to the curve at the point given. ysen (2x) = xcos (2y) at the point (π/2, π/4 ).

Q: find an equation for the line in the xy-plane that is tangent to the curve at the point…

A: To find an equation for the line in the xy-plane that is tangent to the curve at the point t = 2…

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t…

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Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

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Q: Find the slope of the tangent line to the curve - læ? 3xy – 4y 144 at the point (3, 3). Ouoction ||

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Q: Given the equation below, find dy dx - y = 63x² + 140x69y 2x70+ 5y⁹ dy dx 5,9 ZY Now, find the…

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Q: Find the equation of the line tangent to the curve y=t-1 and x= 2t2 at t=2

A: Given: The curves are y = t -1 and x = 2t2 . The value of t = 2   To determine: The equation of the…

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: : 6x² perpendicular At what point is the tangent line to the curve y°: to the line x+ 2y – 4 = 0?…

A: Explained below

Q: What is the slope of the tangent line that touches the graph of In(y) + e2* -'=3y – 4x at the point…

A: Given that:  lny + e2x-1 = 3y-4x We find slope of the tangent line at point (1/2,1) . Here i…

Q: 2) Consider the curve defined by -8x² + 5xy + y³ = -149 dy a) Find dx b) Write an equation for the…

A: solution is given below

Q: Find the points on the curve where the tangent is horizontal or vertical. x = t3 − 3t,    y = t2 −…

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Q: Find an equation of the tangent to the curve at the given point. x = 2 + t2 − t,    y = t2 + 2,…

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Q: Find the equation of the tangent line to the curve y? = xy + 6a? at the point (1, -2).

A: Given The curve y2 = x3y+6x2 and the point (1, -2)

Q: a) Find an equation of the tangent line: x' +y' + 9xy = 27 at (x, y) = (1, 2)

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Q: Find the equation of the line that is tangent to the curve r = r In y, I> 0, at the point (1.e).

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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: Find the equation of the tangent line to the curve x =t2 -2, y =t³ -2t + 1 at the point t=2.

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t. x…

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Q: Pls help ASAP

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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: Show that the equation of the tangent to the curve = 2 (a'0, b1.0) a y at the point (a, b) is = 2.…

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Q: Find the equation for the tangent to the curve y = exp [6x] at the point (7, e 294). f(x) = exp…

A: given: the equation of the function is: y=e6x2 the given point is: 7,e294

Q: Let h(x) = 5 – 3x³, h'(2) = Use this to find the equation of the tangent line to the curve y = 5 –…

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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: Q2\Find the point at which the tangent to the curve y = v4x2 + 1-2 has its slop 2

A: Given: y=4x2+1-2 Slope = 2 We know that slope of tangent to a curve y is defined as dydx

Q: The slope of the curve y = (5x² + 8x + e)eje at x = 0 is

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Q: Find an equation of the line tangent to x = (t^2) − 3t, y = (t^3) − 1 at the point corresponding to…

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Q: given x3   + y3 -9xy = 0,   find the point where the curve has a vertical tangent line

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Q: Find the slope of the tangent line to the curve Ar 3ay + 2y°= 3

A: Given,         The curve is 4x2-3xy+2y3=3 at the point 1,1.

Q: of the curve yln x + 5x² + y' =13 at the point (1,2) dx b) Find

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Given that x² + y? = (2x² + 2y² – x²)? Find an equation of tangent line to the curve at point (0,…

A: The formula to differentiate the product of two functions, f(x) and g(x) with a common variable is…

Q: Find the tangent line to the curve (x-3y)2  + 8x + 12 = 0 at the point where y = 0

A: First differentiate at point then use equation of tangent line

Q: Q2\Find the point at which the tangent to the curve y = v4x² +1- 2 has its slop 2

A: 1

Q: Find the equation for the tangent to the curve y = exp [2x] at the point (9, e 162). f(x) = exp [2x]

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Q: Find the slope, m, of the tangent to the curve y = 2√x    at the point where x=a

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Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

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Q: Find the tangent line to the curve (x-3y)²+8x+12=0 at the point where y=0

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Q: find an equation of the tangent to the curve at the point corresponding to the given parameter…

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Q: Find the equation of the tangent line to the curve x=4+2t, y=1−t2 at the point t=1.

A: We need to find the equation of tangent line to the curve at point t=1

Q: Find the equation of a TANGENT LINE in SLOPE-INTERCEPT FORM to the given curve below y = 4x? 2x +3 |…

A: y = 4x2 - 2x +3 at x =0 y = 3 so point (x,y) = (0,3) we need the slope of line so slope = dy/dx…

Q: EX Find the equation of the tangent Line to the curve y=x? at c 204)

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Q: Find an equation of the tangent line to the curve c(t) = (5t2 - 6, 4t2 - 16t) at t = 2.

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Q: Find the point(s) on the curve t3 3t, y 2t2 +t 2 x = - where the slope of the tangent line is equal…

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Q: Use the formula for the slope of the tangent line to find for the curve c(t) = (9t + 5, 5t – 2) at…

A: Given curve is  c(t)=(9t+5,5t-2)x=9t+5, y=5t-2 Differentiate x and y with respect to t. dxdt=9,…

Q: Find an equation for the line tangent to the graph of at the point (a, f(a)) for a = = 2. y = f(x) =…

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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: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: use property of chain rule to find the slope and equation of tangent line

Q: x = VE, y = t? – 2t; t = 16

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