Q2:Is the point lies on the curve? x² cos² y – sin y = 0, (0, ) if so, find the equations of lines that are (a) tangent and (b) normal to the curve at the given point.

Q: Find the equation of the tangent line to the curve y = 2 sin æ at the point (, 1). The equation of…

A: Let (?/6 , 1) =(x1 , y1)  Using the slope - intercept formula : ( y - y1) = m( x - x1 ) or y =mx +b

Q: Find the equation of the tangent line to the curve (piriform) y^2 =x^3(7-x) at the point (1,√6) a…

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Q: Find the equation of the tangent line to the curve y = 5x cos T at the point (T, – 57). The equation…

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find the equation of the line that is tangent to the curve y = 4x cos x at the point (T, -47). The…

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Q: B) Find all the points on the curve y=tan x, -n/2<x</2, where the tangent line is parallel to the…

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Q: Find the equation of the tangent line to y = 2ex at x = 7.  (Enter your answer as an equation using…

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Q: An equation for the tangent line to the curve In(sec x + y?) = tan(x)+e2" – 1 at the point (x, y) =…

A: Given curveIn (sec x +y2) = tan x +e2x-1We have to find the equation of tangent line at the point…

Q: (a) The curve with equation y 2   = x3 +3 x 2  is called theTschirnhausen cubic. Find an equation of…

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Q: 1. Find the slope of the given curve at the indicated point. y= x* – 3x? + 3 at (1,1) 2. Find the…

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

Q: Find the equation of the tangent line to the curve (a lemniscate) 2(x^2+y^2)^2=25(x^2−y^2) at the…

A: Given: 2x2+y22=25x2-y2 at point -3,-1

Q: Find an equation for the line tangent to the curve x= 2sin(t), y= 4cos(t) at the point defined by…

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Q: Find the equations of the lines that are tangent to at the origin the curve X cos t, Y = 0.5(sin 2t)

A: Please refer the attached image for complete solution.

Q: The curves y = x2 + ax + b and y = cx - x2 have a common tangent line at the point (1, 0). Find a,…

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Q: 1. In the open interval (0, T/2) , find the point where the slope of the curve is 4? y = tan x

A: Given function , y= tan x, we have to find at what point, slope of the the given graph is 4.…

Q: nswer two only: [25] M W Find the equation for tangent to the curve y = x + cos(2x²) at x = 2.

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Q: Determine the slope of the tangent line, then find the equation of the tangent line at the given…

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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.…

A: Given equations - x = sec2t-1                                       x = tan2t         .........(1)…

Q: Find the equation of the tangent line to the curve y 3x cos x at the point (T, -37). || The equation…

A: Formula for finding the equation of a line having a slope of m and passing through the point (x1,y1)…

Q: Determine the equation of the tangent line to the given path at the specified value of t. (Enter…

A: Given that, r(t)→=[sin(7t), cos(7t), 2t9/2] We have to find equation of tangant line at t = 1.

Q: Q2:Is the point lies on the curve? x² cos y – sin y = 0, (0, 7) if so, find the equations of lines…

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Q: Q2:Is the point lies on the curve? x* cos y- sin y= 0, (0, 7) if so, find the equations of lines…

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Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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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.…

A: Tangent line for a curve at a point is a line which just touches it and is "parallel" to the curve…

Q: Find the equation of the tangent line to the curve y = 3 sec(x) – 6 cos(x) at the point (T/3, 3).…

A: Given : y =3secx - 6cos(x)

Q: Find the lengths of the curves x = 8 cos t + 8t sin t, y = 8 sin t - 8t cos t, 0 … t … pi/2

A: The length of the curve of any given function by the formula L=∫t1t2dxdt2+dxdt2dt. Here t1 and t2…

Q: Find an equation of the tangent to the curve x=2sin 2t, y=2sint at the point corresponding to the…

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Q: Q2:Is the point lies on the curve? xcosy-siny = 0, (0, ) if so, find the equations of lines that are…

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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: please help me with this

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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.…

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

Q: V. The tangent line at the point (t, y) = (- to 4'2 1 Then, the curve y = cos t is y = bt - - - a a…

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

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Q: (a) Find the equation of the tangent line to the curve x = e', y=e %3D at t = 1 without eliminating…

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Q: Find the equation of the tangent line to the curve y = 2x cos x at the point (T, -27). The equation…

A: Using formula of equation of tangent.

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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

A: Given: x=12tant, y=12sect ; t=π3

Q: Find the equation of the tangent line to the curve y 8 sin r at the point The equation of this…

A: Given query is to find the equation of tangent line. Since slope of  tangent is given by derivative…

Q: Find the equation of the tangent line to the curve y = 3 sec(z) - 6 cos(x) at the point (π/3, 3).…

A: The equation of tangent line

Q: n) Find the equation of the tangent line to the curve y = (1 + x*) at the point | 1, %3D

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Q: 1. Find an equation for the tangent line to the curve x= sin nt, y= t? - 3t at the point with t= 2…

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Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

A: Given, To get the equation of the tangent line, finding slope is the first step. Here both x and y…

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 tangent line to the curve y = 4x sin (a) at the point (T /2,27). Express…

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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: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

A: We need to find an equation for the tangent line to the curve at a given point of t. Also, we need…

Q: Q1- i) Show that cosh?x – sinh?x = 1 ii) Find the equation for the tangent line to the curve y = Vx…

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Q: At what value of x does the curve 1„2 sin y = 3y +x² + 4x have a horizontal tangent? (Supporting…

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Q: A. Find an equation for the tangent line to the curve x = -1 + sec? t, y = tan t %3D d2y at t =…

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Q: B The equation of a curve is y = cotx - 8 cos x, 0<x< π, find the coordinates of the points on the…

A: If the equation of the curve is given y=f(x)  Then we find dy/dx and then equating to 0 we get the…