5. Find parametric equations for the tangent line to the curve r(t) = (²+3t+2, e' cost, ln(t+1)) r²(+2/2+ + 3 e²₁ at the point (2,1,0)

Q: 6. Use parametric differentiation to find if x= 212 +2, y=t* -7 dx Solution:

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Q: 8. Find directional derivative of function z = xey at point P(1,0) in the direction from pointP(1,0)…

A:

Q: Find the point-slope equation of the tangent line to the parametric curve given by x = 1+ 2t° and y…

A:

Q: Find parametric equations for the tangent line to the curve r(t) = at the point (1,0,1)

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Q: ) Find the equation of the line normal to the curve x'y+ y'x = 10 at point (1,2).

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Q: 3 Ay 10- Find equation of tangent line at the point (0, 7) for Cos (7x - y)

A: Solving

Q: when the parameter is eliminated from the equations x=t/2, y=t^3-4x+1 the resulting equation

A: The parametric equations are the group of equations with one or more variables having one common…

Q: A The parametric equations of its motion are: |(input a number from below) Ox = 5 + .v- 4 + - 5 +…

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Q: 2 a) FIND BY IMPLICIT DIFFERENTIATION: x*y³ = -8 %3D dx b) EVALUATE THE DERIVATIVE FROM PART a AT…

A: Given: x4y3=-8

Q: Find an equation of the tangent line of the parametric curve, I = 1+÷, y=t³ –t² +3,

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

A: Given, curve and point