Problem 7. Consider the curve parametrized by F(t) = (3t², 2t³), t = [0,√3]. (a) Find the unit tangent vector T (t).

Q: Show all steps and answers clearly, no short cut, especially how to find T'(t)

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Q: Find the equation of the tangent line to y = 2"-5a -5x+1 = 4. at x = y = 12 In 2 - 1

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Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

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Q: Find the equation of the tangent line to the curve y = ○ y = 1/2 x 1/²/20 ○ y = x O O y = -2x - 5…

A: The slope of the tangent line to the given curve is equal to the derivative of the function at a…

Q: 11. Find a standard Cartesian equation for the line that is tangent to the curve F(t) = (2+) at the…

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Q: How many horizontal tangent lines does the curve parametrized by the equations z(t) =-4t-1,…

A: on doing derivative we get the 1

Q: 3) Find an equation of the tangent line to the graph of y = (z + 4)² at z = 4.

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Q: 3. Find the equation of the tangent line to the curve x'y+y°x= 30 at point (1,3).

A: Solve the given problem.

Q: 2. Find the equation of the tangent line to y = x² + 2 at x = -2.

A: