to the curve given by the parametric equation It is drawn at the point t = ? / 4 tangent and normal Find the equation. (Find it with the help of derivative.)

Q: Find the equation of the tangent line to the curve y= 3 sec z - 6 cos at the point 3 The equation of…

A: Equation of tangent line : y - y0 = m ( x - x0) Here m is a slope .

Q: Find the slopes of the curves at the given points.Sketch the curves along with their tangent lines…

A: The slope of the curve at θ is given by: So the slope of the curve is:

Q: Find an equation for the tangent to the curve at the given point. Then sketch the cur and tangent…

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Find the equation of the tangent to the curve y=cos´ x when x = should use radian measure. п Your…

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Q: Find the derivative dydx of the polar curve r=a√θ (the lituus curve).

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Q: Find the slope of the curve at the given points. Sketch the curves along with their tangents at…

A: Solution: Consider the given cardioid r = -1 + sin u = f(u) We know that derivative of the polar…

Q: Find the equations of the tangent lines at the point where the curve crosses itself. (Enter your…

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Q: Given this pair of parametric equations and value of t, x = Vt, y = at t = 4 a) Find the point…

A: To solve this put t=u and then solve it Here we are going to use formula of differention of tn…

Q: 1 cos(t) Find the slope of the tangent line to the parametric curve at the point y = 2 sin(t)

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Q: Find the equation of the tangent line to the curve y = 2 sin x at the point 6 (1). The equation of…

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Q: Find the equation of the tangent line to the curve y = 4 sin a at the point (, 2). The equation of…

A: Given the curve :

Q: 1 cos(t) - 2 sin(t) Find the slope of the tangent line to the parametric curve at the point

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Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: Find the equation of the tangent line to the curve y = 8 sin x at the point (, 4). The equation of…

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Q: Find the equation of the tangent line to the parametric curve x = θ+cosθ, y=1+sinθ; θ = π/6

A: We have to find equation of tangent line to the parametric curve at θ=π6 where parametric curve is:…

Q: Find an equation of the tangent line for.10 a curve defined by the following parametric equations

A: Given, x=t3-4t2+4t+3 , y=t+3

Q: (). Find the equation of the tangent line to the curve y = 5 tan x at the point The equation of this…

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Q: Find the equation of the tangent line to the curve y = 6 tan z at the point (, 6). The equation of…

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Q: ´x = 3 cos(t) 5 sin(t) Find the exact slope of the tangent line to the parametric curve at the point…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: find an equation for the tangent line to the curve at the given point. Then sketch the curve and…

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Q: x = 2 cos(t) Find the exact slope of the tangent line to the parametric curve at the point where y =…

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Q: Which of the following is the equation of tangent line of the curve that is g by parametric…

A: We have been given the parametric equation  x=e2t, y=2cost+6sint at a point (1, 2).

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

A: We have to find standard parametrization for the given tangent line.

Q: x = 6 cos(t) Find the exact slope of the tangent line to the parametric curve at the point where |y…

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Q: Show that the curve x = cos t, y = sin t cos t has two tangents at (0, 0) and find their equations.…

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Q: Find the derivative of the following parametric equations as indicated. Express the final answer in…

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Q: 29. Find equations for the lines that are tangent and normal to the curve y = V2 cos x at the point…

A: y=2cosx ,   π4, 1 Differentiating with respect to x, we get dydx=2-sinx=-2sinx Now slope of the…

Q: x = 1 cos(t) y = 2 sin(t) Find the slope of the tangent line to the parametric curve at the point

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Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

A: Let r(t) be a curve, the derivative r'(t) is a vector tangent to the curve. The equation of the line…

Q: Find the second derivative of y with respect to x from the parametric equations given. Pls show the…

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

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

A: At t=0,x(0)=6cos(0)=6y(0)=04-6sin(0)=0z(0)=2e3(0)=2 The point on the the curve at t = 0 is (6,0,2).

Q: Find the equation of the tangent line to the curve y = 4sec z – 8 cos z at the point 4). The…

A: We can sole this as follows:

Q: . Find the parametric equations for the tangent line to the Curve at the Specific point. X = e-t cos…

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Q: Find the slope of the line tangent to the following polar curve at the given point. 3x r= 3-3 sin 0;…

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Q: x = 2 cos(t) Find the slope of the tangent line to the parametric curve at the point y = 3 sin(t)…

A: The derivative dydx defines the slope of the tangent drawn to the curve.

Q: where t € [0, 1]. x = cost, y = sint-t,

A: Here we will find the equation of tangent and length of curve P,

Q: 8/3 Find the slope of the tangent line to polar curve r = 8 sin 0 at the point 3.

A: Explanation of the answer is as follows

Q: (* = 8 cos(t) y = 7 sin(t) Find the exact slope of the tangent line to the parametric curve at the…

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Q: {; 4 cos(t) 2 sin(t) at the point 4 Find the slope of the tangent line to the parametric curve

A: We have the parametric equation of curve as x=4cost⇒cost=x4        ⋯⋯1y=2sint⇒sint=y2          ⋯⋯2…

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

A: The given curve is -rt=lnt4i∧+t-4t+θj∧+t Ln t4k∧ - 1     t=to=4differentiating 1wrt t , we get…

Q: Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing…

A: Refer to the question, we have to find the points on the curve where the tangent is horizontal or…

Q: I= 2 cos(t) lu-3 sin(t) Find the slope of the tangent line to the parametric curve at the point 3…

A: x=2cost,  y=3sint Differentiating with respect to t, we get dxdt=2-sint  &…

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: 4 cos(t) { Find the slope of the tangent line to the parametric curve at the point 1 sin(t) 6 Y =

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Q: True or False: The sine curve parent function passes through the y-axis at (0,1).

A: Since (0, 1) not lies on the graoh of sine function.  Hence the given statement is False.

Q: At what points does the curve 2a cos t - a cos 2t, y = 2a sin t – a sin 2t x = ave vertical or…

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Q: Find the equation of the tangent line to the curve y = 8 sin x at the point (, 4). The equation of…

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