1 '1+t²⁹ Given R'(t) = (4e²t, , 2cosh t), and R(0) = (1, -2,3).

Q: b) For the curve 2² - 4ry² = y³ +9, do the following:

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Q: The parametric curve x= 414 + 412 + 1, y= 5t 3 – 5t has two tangent lines at the point (9, 0). Find…

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Q: Find an equation, in slope-intercept form, of the line tangent to the curve with parametric…

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Q: Find the slope of the tangent line to the curve cos(За — Зу) — ае -37/2 2 at the point (37/2, 27).

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Q: Provide a set of parametric equations for the function f(x) = x² sec² (2x + 1).

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Q: Compute the derivative of the given function. f(x) = 2x" + 1.9x8.7+ 8.7. Note: Use pi for 7 in your…

A: The first question only has been answer below by following the Bartleby guidelines.

Q: Consider the parametric equations x(t) = 1 + 3t2, y(t) = 4 + 21³, -1 <t <1. • What is the length of…

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Q: 3. Consider the parametric curve C given by * = te', y =t + cos t. (a) Find the equation of the…

A: Given: The parametric equation of the curve C is  x=tet, y=t+cost (a) To find: The equation of…

Q: Find the parametric equation for the line tangent to the r(t)=sinti+(t2-cost)j+etk curve t=0 at the…

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Q: Which equation describes the tangent line to the curve * (t) = > at = 0₁ e³t. To(x) = To(u) = u…

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Q: Consider the parametric equations for a curve in the xy-plane given by: x = t^3 - 3t y = t^2 - 2…

A: The given problem is to find Tangent line to the curve at the given point t=2.Given parametric…

Q: Find parametric equations for the tangent line to the curve a-tcost, y-t, z- tsint at the

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Q: Write an equation of the tangent line to the parametric equation at the given value of t. Please…

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Q: Calculate the equation of the tangent line to the curve 2r³ + xy +3x+ y = 2 at the point (0, 2).

A: To find the equation of a tangent line to the given curve at point (0,2).

Q: Determine the equation of the line tangent to y = x + tan x at the point (T, T).

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Q: Find the points (x, y) on the curve with the parametric equations (x3Dt3- 4t at ly=t +2 which the…

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