10. Find the equations of the two tangent lines at the (-1,0) for the parametric curve x = 12- 2, y = t³ - t.

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

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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: A curve's parametric equation is given by 3t 3t2 || Y = 1+ t3 ' 1+t3

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Q: Consider the parametric the curve defined by the equations x = t² – 2t + 2 and y = t² + t. (a) The…

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Q: Consider the parametric curve given by x (t) y(t) = t³ + 3t² = t² + t } te [-π, 5/4]. (i) Find the…

A: Please upload the remaining questions separately. The question can be solved as follows. The values…

Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.