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

Q: . Find an equation of the line tangent to the curve y = 2 + sin(rx) at a = 1.

A: Given curve is y=2+sinπx at x=1 findequation of line tangent to the given curve

Q: Find the slope of the line tangent to the curve at the given point. y = 7 cos x ; x = 4 C. - 7V2 7V2…

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Q: Find an equation of the line tangent to the curve tan¹(y) = (x+y)e at the point (0,0). tan ¹(xy) =…

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Q: What is the slope of the line tangent to the curve x = :5e' – sin 4t and y = 8e" - cos 4t at the…

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Q: The exact value of the slope of the tangent line to the graph of the curve r = 9 + 8 cos(e), at e =…

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

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Q: 4.1. Find the slope of the line tangent to r = 4 – 3 sin 0 for 0 = ™

A: The given question is based on the tangent and normal topic in which we have to find only the…

Q: ind the slope of the line that is tangent the curve sin(2x)+sin y=e*y – 1 at (0,0). our answer…

A:

Q: 2. Find an equation of the tangent line to the graph of y =1+4 tan x at x 0.

A: Given:        y = √(1+4tanx)     At x = 0

Q: Find the slope of the tangent line to the given curve at the point corresponding to the specified…

A: Solve by converting polar form into coordinate form

Q: r = -1 + cos 0 0=t/2

A: In the question we have to find the slope of function -…

Q: What is the equation of the line tangent to the curve e" + cos(x) = 1 at the point (6,0)? A y = x -…

A: Given, The equation of the curve ey+cosx = 1 We have to find the equation of the line tangent at the…

Q: What is the equation of the line tangent to the curve e + cos(x) =1 at the pointG.0) A (B) y=x+ C…

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Q: [x € [0,x] T: sinx + cos (2y) = 1, y E 4: 4

A: Given equation of graph is sinx+cos2y=1 The slope of a graph at a point is given by the derivative…

Q: What is the slope of the line tangent to the curve x = 9e' – sin 8t and y = 3e8t - cos 8t at the…

A:

Q: Given the graph of r sin 2y = y cos 2x pictured at right, what is the point-slope equation for the…

A: The derivative of the function y'=dydx is the measure of how fast the function is changing with…

Q: Consider the following curve. 1 + x y = 4 + ex Find y'(x). -ex + 4 (4+ e*)² y'(x) = ot2 1 Find an…

A: According to the problem, we have

Q: Q14: Find the equation of the tangent line to the curve xsin y+x' = tan" (e") +x- at the 4 point…

A:

Q: 30. Find the points on the curve y = tan x, -7/2 <x< T/2, where the tangent is parallel to the line…

A:

Q: At the given point, find the line that is tangent to the curve. 5x3y - n cos y = 6t, tangent at (1,…

A: 5x2y-πcosy=6π=ddx(5x2y-πcosy)=ddx(6π)=10xy+5x2y'+πy'siny=0=(5x2+πsiny)y'=-10xy y'=-10xy5x2+πsiny…

Q: 2 is: The slope of the tangent line to the curve y = - at the point 3, x The equation of this…

A: We have to find out the slope

Q: Find the equation of the line that is tangent to the curve y = 4x cos x at the point (7, –4t). The…

A: we have to find the equation of tangent

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

A:

Q: 1 Find an equation for the line tangent to the graph of y=2 tan at the point (3,1/8).

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Q: 2) Find the tangent to the curve y 2 tan at x 1.

A: A detailed solution is given below.

Q: What is the equation of the line tangent to the curve e + cos(x) = 1 at the point ,0|? y=x+ y=0 TT…

A: Given that the curve is ey+cosx=1 and the point is π2,0. It is required to find the equation of…

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: 4. Consider the curve given by r³ + y³ = 9ry. Find the equation of the tangent line at (4,2).

A: To find the slope of the tangent we need dydx at (4,2)…

Q: 1. In the open interval (0, T1/2) , find the point where the slope of the curve is 4? y = tan x

A: Given the curve  y=tan x

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

A: We can answer the question in the following steps.

Q: For what value(s) of t will the slope of a line tangent to x = 6 sin t, y = t² + t be undefined, for…

A: Here we have to find the slope of the tangent line.

Q: 12. Find an equation of the tangent line to the graph of y=1+4 tan x at x=0.

A:

Q: Find the equation of the tangent line to the curve x = 1 - cos thetha, y = thetha  - sin thetha at…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = sec(x) – 2 cos(x), P = 1 3

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Q: 6. P=(0,9) Sin(x)+ Cos (x)

A:

Q: The slope of the tangent line to the curve tanly) y- 2 at x-0is Oa 2 O b.-2 Oc-1 O d. 1

A: Given problem is : Definition :

Q: given: xy2=ex^2   find: slope of tangent to curve at point (2,e)

A: given: xy2=ex^2 differentiate on both side y2+2xyy'=2xex2where y' is slope of tangent

Q: Find the equation of the line tangent to the graph of y = tan t at t = π/4.

A: Given that, the function of the graph  y = tan t at t = π/4   To find the equation of the line…

Q: 1. If Y= 4 cos x + sin 2x, what is the slope of the curve when x=2.

A:

Q: find y' and find the slope of the line tangent to the graph of y = sin-1(x/4) at x = 2.

A: Here in this question we need to find out the slope of the line tangent to the curve y = sin-1(x4)…

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

A:

Q: Find the equation of a curve passing through 1, if the slope of the tangent to the curve at 4 any…

A: The slope of a tangent line to a curve and point on that curve are given. From these information, we…

Q: - Find an equation of the tangent line to the curve sin(r+y) = 2y – 21 at the given point (-7, –x).

A:

Q: Graph the curve over the given interval together with its tangent at the given value of x. 37 19) y…

A: csvs

Q: The equation of the tangent line to the graph of y = sin(x) at the point P( ,1).

A:

Q: Find the exact length of the curve. y = √(x - x2) + Sin-1 √x

A: Given curve is y=x-x2+sin-1x.

Q: B) Find the slope of the line tangent to the curve y = sin3x at the point where x =

A:

Q: 6. Given the curve y = x/x at what point on the curve is the tangent parallel to the line 4x – y + 6…

A: We will use differentiation and slope of line to solve this.

Q: The f '(x) of the given curve is equal to -4 y = sin 3x ||

A: