Find the unit tangent vector to the curve defined by r(t) = (5t, −2t, √25 – †²) at t = -2. - T(-2) =

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: Find the point on the curve y = x-11x+5 at which the tangent has the equati on y = x - 11.

A: We will find the  point on the curve at which the equation of tangent is given as following.

Q: Find the slope of the tangent line to the curve 4x2 + 2xy - 2y³ = 160 at the point (4, - 4). -

A: We have to find slope of tangent line to the curve  at the point (4, -4) that is dy/dx at (4, -4)

Q: a) Find an equation for the tangent line to the curve y= 2/x at the point (2, 1) on this curve.

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Q: Find the equation of the tangent line to the curve y = 6 sin x at the point (T/6, 3).

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Q: Find the equation of the tangent line to the curve y = (5 – 3x)² at z = –5.

A: To find the equation of the tangent line to the below curve at x = -5. y=5−3x2

Q: Find the equation of the tangent line to the graph of x³ + y³ – 3xy = 0 at the 3 3 point ).

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Q: Find the equation of the tangent to the curve y=√x at the point (1,1) (Figure 4).

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