Find the equation of the tangent line to the given curve at the specific point: xsin(y)=2ycos(x)     for x, y points  (Pi/2, PI)

Q: Find the points on the curve  y = x3 + 3x2 − 9x + 2 where the tangent is horizontal.   smaller…

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Q: Find an equation of the tangent line to the graph of y=x at the point where x=e. ... The equation of…

A: We are given that f(x) = xx and x ​= e.

Q: Find an equation of the tangent line to the curve at the given point. y = ex cos(x) + sin(x),…

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Q: Find the lines that are tangent and normal to the curve at the given point. y = 3 sin (xX - y),…

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Q: The curve given by x = sin(t), y = sin(t + sin(t)) has two tangent lines at the point (x, y) = (0,…

A: Given parametric curve x=sin t , y=sin(t+sin t) Slope of the tangent to the curve is given by…

Q: (4) Find the equation of the tangent line of y = /1+4 sin x at the point %3D (0,1).

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Q: Find an equation of the tangent line to the graph of the function at the given point. 1 arccos x y =…

A: The given function y=12arccos x at the point -22,3π8

Q: Find an equation of the tangent line to the curve at the given point. y = sin(sin(x)), (27, 0) %3D

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

A: We have to  find

Q: The curve y=tan x crosses the line y=11x at a​ non-zero x-value between x=0 and x=π/2. Use​…

A: Given that, the curve is y=tanx and the line y=11x. Therefore, the function fx=tanx-11x,…

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

A: Since you have posted a multiple  question according to guildlines I will solve first…

Q: 5y4+7=x4-3y; x=3, y=-2

A: To find slope of a line tangent to the given curve at a given point. To make a sketch of this…

Q: Find the equation of the tangent line to the curve y = 8 sin z at the point , 4). The equation of…

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Q: Find the point(s) on the graph of y = (x2 – 168)e × where the tangent line is horizontal. Identify…

A: Given y=x2-168ex Consider, fx=x2-168ex To find the points on the graph where the tangent line is…

Q: Find equations of the tangent line and normal line to the given curve at the specified point. y =…

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Q: Find an equation for the tangent to the curve at the given point: y= x2 + ex −e; at (1,1).

A: The equation of given curve is, y= x2 + ex −e The point of tangency is (1,1)

Q: ind the slope and the equation of the tangent line to the curve. Use the delta method. Explain…

A: To find slope and equation of the tangent line to the curvey=2x2-2x+4 at (1,4)

Q: Find all points​ (x,y) on the graph of y=x/(x−1) with tangent lines perpendicular to the line y=x−8.

A: The given function for the tangent is, Differentiate the above expression to get the slope of the…

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

A: at t=1x=ln(1)=0y=1+12=2tangent point (x1,y1)=(0,2)

Q: (5) The slope of the tangent line to y = sin x at x = 0 is (5) Since you have the slope, you can…

A: We know that to find slope  1.find the first derivative of given function 2.put the given X value in…

Q: Find an equation of the tangent line to the graph of y x at the point where x e. .... The equation…

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Q: 4. Find the equation of the tangent line to the curve y = 4+ e2 sin at the point (0, 5).

A: First find the slope at given point with the help of derivative than write the equation of tangent…

Q: Find an equation of the tangent line to the curve y=3 arccos(x/2) at the point (1, pi

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Q: Find an equation of the tangent line to the curve cos(x) + 13y² = xy + 40 at the point (0, v3).…

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

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Q: The curve given by x=sin(t),y=sin(t+sin(t)) has two tangent lines at the point (x,y)=(0,0).List…

A: The curves x=sin(t), y=sint+sin(t) has two tangent lines at the points (x,y) = (0,0). We have to…

Q: Find equations of the tangent line and normal line to the curve at the specified point. (1, 0.1) y =…

A: the objective is to find the equation of tangent line and normal line.

Q: 1- Vx 6 Find the equation of the tangent and normal to the curve f(x) at the point 4, 5 1+ X

A: Given:     f(x) = 1 - √x / 1 + x  Points: ( 4 , -1/5 )

Q: UV is tangent to oW at point U. What is the value of: X-1

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Q: Find equations of the tangent line and normal line to the given curve at the specified point. y =…

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Q: Find an equation of the line tangent to the graph of f(x) = a) at (1,1); b) at c) at a) The equation…

A: Given: The graph of fx=1x6 To find the equation of tangent line at a) 1,1 b) 3,1729 c) -2, 164

Q: Find an equation of the tangent line to the curve at the given point.   y = 4x + 2 cos(x),    P =…

A: Equation of tangent line is ,  y - y0 = m ( x - x0 )  Here m is the slope of tangent line .

Q: Find the equation of the tangent line to the graph of y = f(x) = tan(x) at the point a = 1/3. Give…

A: Given that: y=f(x)=π3

Q: Find the equations of the tangent line and normal line to the given curve at the specified point. y…

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Q: Find the equations of the tangent line and normal line to the given curve at the specified point. y…

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Q: Find an equation of the tangent line to the curve, x^2-xy-y^2=1 at the point (2,1). (use implicit…

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Q: Find the equation of the tangent line to the curve y = ex at 0, 1+8 ex What is the equation of the…

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Q: Find the lines that are tangent and normal to the curve at the given point. y = 7 sin (TX - y),…

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Q: Find the equation of the tangent to the curve y=2(e^x) at the point (0,2).

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Q: Find the equation of the tangent line to the curve y = 6 sec z – 12 cos z at the point 6). The…

A: y'=secx-12cosx' =secxtanx+12sinx Slope = secπ3tanπ3+12sinπ3=83. So, we have possible equation of…

Q: 1. Given y = sin(x In.x), what is the slope of the tangent line at (e, 0)? (The red line.) 2. Given…

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Q: 1. Find the equation of the tangent line of the curve cot (x + y) – sin (x - y) = 1 at (0, n 2 ).

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Q: 1. Use implicit differentiation to find an equation of the tangent line to the plot of a curve…

A: Compute the slope of the curve by differentiating as follows.

Q: Find an equation of the tangent line to the graph of the function at the given point. function y = 7…

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Q: Find the equation of the tangent line to the curve y 6x cos x at the point (π, = The equation of…

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Q: Find the equation of the line tangent to the graph of y = 3e" at r = 4. Tangent Line: y

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Q: (4) Find all the points on the curve y =r- 31 where the tangent line is parallel to the r-axis. (5)…

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Q: 2 at the point where x=- Find the slope of the tangent to the curve f(x) = 4 The slope of the…

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