Find the equation of the line tangent to the cardioid r = 1+ sin(0) at Ô0 =

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A: f(x)= cos(x)  Then, f(π) = cosπ⇒f(π) =-1

Q: sin(2t)dt 0,

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Q: Find the tangent line to the curve x cos y + y cos x = 1 at (0,1). O A. (cos 1)æ + y = 1 O B. x + y…

A: We can find the tangent line as below

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Q: The equation of the tangent to the curve y=4+ sin' x at X=0 is O y = 4 O y = 2 O y = 6 O y = 3

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

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Q: 2. Find equation of the tangent line at the point P given by t = where x(t) = cos (t) %3D y(t) =…

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Q: Find the value of dy/dx at (1,0) of 2re" – In() = 4y² + 2a sin

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Q: Find the derivative dy/dx of the cardioid given by the equation r=f(θ)=a(1+cosθ).

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Q: Find the derivative dydx of the cardioid given by the equation r=f(θ)=a(1+cosθ).

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Q: Find the equation of the tangent line for f(x) = 6 tan(x) at a = %3D a) Oy = 6/3 (z -) + + 12 b) Oy…

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Q: Q) - Find of y = sin de dy ! -11

A: Siny = 1/x.

Q: 2. Find the length of the curve: y = 2 In (sin (x)):sxS*

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Q: I) Find the volume of the solid obtained by rotating the sine function between x -0 and x x about…

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Q: Find the differential of the function. y = sqrt(1+ln(z))   dy=?

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Q: Find an equation of the line tangent to graph of y =x2 + sin (Ex) at x=-1. A. 2x - y+2 = 0 B. 2x +…

A: To find the equation of tangent line of the given graph.

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Q: a(22) V17 – cos(2nt)" (2 – 4) sin() 1. Given f(x) dt, find the equation of the line tangent to the…

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Q: Determine the equation of the tangent line to the graph of g(x) = | [1- sin(re')] dt at the /In x…

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Q: In integrating the function f(3x + 5)(cos ) dx using integration by parts, what would be your du?

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Q: (3) Let 4 = x²y² + x sin y, find 2 dy in terms of x and y; dx (4) Find the equation of the tangent…

A: For the given problem, there are two questions. But according to rules of Bartleby only the first…

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Q: Compute the derivative for r(t) = (cos(8t))i + (sin°(t))j + (tan(6t))k. %3D dr dt

A: Given

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A: To solve: sin⁡ydx+sin2⁡ydy+xdy=0…

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A: Find the equation of the tangent plane to z = ln(2x + y) at −1,3

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A: We have to find the equation of the tangent line to the graph of gx=∫lnx01-sinπetdt at the point…

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Q: Find the slope of the tangent line to the graph of f(x) 2e'cos-1t dt at x = 1. In x = X'

A: Find the slope with the help of derivative of f(x) at x=1 .

Q: Determine the length of the curve TC f(x) = In[sec(x)],0 < x < 4

A: The given curve is- f(x)=lnsec(x)Interval 0≤x≤π4We need to determine the length of the given…

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Q: Calculate cln 2 I = Ver – 1 dx thanks to the change of variable u Ver – 1. U = -

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Q: a) Differentiate implicitly to find for the equation x cos y = x2 y2 +1 dx %3D b) Find the equation…

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Q: 17. 2y° +4x2 - y =x° ² - y=x` +sin(3x)=12–j 4

A: We need to find implicit differentiation of : 17. 2y3+4x2-y=x6 18. 7y2+sin(3x)=12-y4

Q: Find the line tangent to f(x) = 3x + cos(8x) at the point wherex-0. %3D Oy-x+1 Oy-x+3 Oy-11x+1…

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Q: Find the differential of the function. y = 6 sin(60) dy

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