A windmill spins at a rate of 15 rpm (Revolutions per minute). Its arms are 3 m long and its center sits 12 m above the ground. A caterpillar clinging to the edge of an arm will experience periodic motion. Let h' represent the height of the caterpillar from the ground.

Q: Find the equation of the tangent to the curve y=sin(3x)+1 at the point where x=rt/3

A: Solution is given as below:

Q: Find the equation of the line tangent to the graph of f(x) = -3 cos (x) at x 2

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

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A: equation of a tangent line

Q: Find an equation of the tangent line to the astroid at the (3√3, 1).   x2/3 + y2/3 = 4

A: Given an astroid equation find the equation of tangent at a point.

Q: Find an equation of the line tangent to f(x) at the point |3D 1+e

A: Find slope at given point and then use formula  to find tangent line

Q: find the equation of the tangent line, in standard form, to the curve y=sin2x-cos2x at the point…

A:

Q: Find the equation of the line tangent to the graph of y = 3x cos x at the point (π, −3π).

A: Given Data: Equation: y=3xcosx Point: (x1, y1)=(π, −3π) The derivative of the given equation of…

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A: The given relation is,  tanθ=yx. Here, x, y, and θ are functions of t. The objective is to find the…

Q: Find the derivative of Screen Shot 2021-10-05 at 7.41.38 AM.png In sin-1 -1(X` 2, y = e

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

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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: Find the equation of the line tangent to the curve y = cos(2x) at the point where 3

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Q: Find an equation of the tangent line to the graph of the function                    y = (cosh x −…

A: We first find the derivative at (0,1) to find the slope

Q: (B): Find the tangent equation to the curve y = sin² x at point x = T-3 π .

A:

Q: At what point on the interval (0, 7/2) does the tangent line to the curve = 3x + V3 cos x – sinx…

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Q: Find the equation of the tangent line to the curve y = 6x cos x at the point (7, The equation of…

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

A:

Q: find the second derivative and simplify the final result 7. y= Arccos(e^2x)

A: To find     d2arccos(e2x)dx2

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A: we have to find the equation of tangent

Q: 14. The first derivative of y = arcsin4x is а. -4 b. -4 C. d. V1- 16x? VI- 4x2 V1– 16x? /1– 4x* -

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Q: What is the equation of the line tangent to the curve e' + cos(x) = 1 at the point (,0

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Q: Find an equation of the tangent line to the curve at the point (0, 1) y = e2x + sin 3x

A: Here is the solution of the given problem.

Q: A particle moves along the parabola y = x2 in the first quadrant in such a way that its x-coordinate…

A: The x-coordinate (measured in meters) increases at a steady 10 m/sec. So, dx/dt= 10A point on the…

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A:

Q: What is the slope of the line tangent to the curve x = 7et – sin 6t and y = 6e6t - cos 6t at the…

A: We have to solve given problem:

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A: We need to find tangent.

Q: Find the equation of the tangent to the curve y = sin(3x) COS(z) at z = 4.

A:

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

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Q: Find an equation of the tangent to the curve x=cos(t) + cos(2t) , y=sin(t) + sin(2t) at the point…

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

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Q: 9. Find the equation of the curve whose y" e*. = - cos x + 6x + 4 with horizontal tangent at the…

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Q: By differentiation with respect to time, show that the equation x = xi + ut + 1/2 at² describes…

A: Given that, x=xi+ut+12at2. Where, xi is the initial position. u is the initial speed a is the…

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Q: Find the equation of the tangent line to the function y = sec'x at the point :2 4-

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Q: Find the derivative of y Cos3 3x+8 (x). %3D Provide your answer below: y = D

A:

Q: Find an equation of the tangent line to the graph of the function (x)= Vx –7 at the point (23, 4).

A:

Q: Find the slope of the line tangent to the curve r = cos(30) at 0 4

A: To determine the slope of the tangent lines.

Q: 1- Find the equation of the tangent to the curve y = 2 sinx + cos2x at the point x = n.

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 line tangent to y = sin(x) going through 4

A: Given, y=sinx                 ...(1) At x=π4 Put x=π4 in equation (1) y=sinπ4y=22 Thus, the pointπ4,…

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

A: we have to find tangent to f(c) at x=pi

Q: (B): Find the tangent equation to the curve y = sin²x at point x =

A:

Q: Find the equation of the tangent line to the graph of f(x) = 5 sin(x) + 6 cos(x) at x = equation: in…

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Q: The equation of the line tangent to y= sin x +2 cosx at 1 is

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the equation of the tangent line at y = 0. given the inverse function x = (3y + 2)(y + 1)-.

A: Multiple of slope of line and tangent line is -1

Q: A particle moves along the parabola y = x2 in the first quadrant in such a way that its x-coordinate…

A: Let the particle is at the point (x,y) at any time t in first quadrant where y=x2  Its x-coordinate…