Find an equation of the tangent to the curve at the given point. x = cos(t) + cos(2t), y = sin(t) + sin(2t), (-1, 1) y =

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

A: Given; ey+cosx=1 at point (π/2,0).

Q: The function y = sin x completes one period on the interval 30, 2π4, the function y = sin 2x…

A: Consider the function y = sinx and its Graph:

Q: Find the derivatives of the function x=a (cos t + sin t ) ,y=a(sin t -t cos t

A: To find the derivatives of the function

Q: Example: show that u(t)=sin t i + cos t j+ 5k has constant length and is orthogonal to its…

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Q: Find equation of the tangent line T equals pi divided by six at X(T) equals nine cosine t and  Y(T…

A: x(t)=9cost y(t)=5sint t=π/6

Q: a) Find the points at which the tangent line to the graph of function f(x) =x³ – 36x+60 has slope…

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Q: (e) sin(2x) sin(x) dx.

A: ∫sin2xsinxdx

Q: 4. Find the derivative of the following: v(t) = 2sin? (7t) + 4 a. 28 sin(7t) cos (7t) b. 4cos (7t)…

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Q: 1. Find the derivative of the curve given by the equation: 2(x - y) = 3+ siny

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: (B): Find the tangent equation to the curve y = sin² x at point x =

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Q: The second derivative of a curve C at any point is d2y/dx2 = sec2x tan x. If 2 is the slope of the…

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Q: sin 0.5 va Find the first-order derivative of y = at x = 2 and h = 0.2 a.) Forward difference b.)…

A: Three approximations to the derivative of function f(x) at x=k are 1.  the one-sided (forward)…

Q: Find the derivatives of the functions

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Q: b) Find derivative of the following: 1. y= 5x° + 2x -x + x* -9x+12 y=1-cos 20+3sine iI. ii. s= xln…

A: The detailed solution is as follows below:

Q: for the function y cot V8- 22 dz dy The derivative

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Q: Find y′ if y = (cot(x))sin(x)

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

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Q: -6-X 1.) y = cos -6.x3 y =

A: We have to find the derivative of the function: y=cos-1 -6x3 We know the formula of derivatives,…

Q: 3. Find the equation of the tangent line to sin-(x - 2y) = 2ry- 1 at the point (1,

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