Consider the parametric equations x = 2+ 3 cos t, y = -1+ 4 sin t a. See x as a function of t and y as a function of t both graphed below and fill in the blanks. 2n 3n -T1/2 1/2 TT 3n/2 2n 5n/2 From the graphs, and sys Use the Pythagorean identity sin? t + cos? t = 1 to find the equation of the underlying (x-h)2, y-k)² b. Cartesian curve. (simplify into the form a2 = 1 ). b2 C. Sketch this curve in the x-y plane below, describe what type of conic section you see, and fill in the blanks below. (You can sketch it before you present to save time.) y Center of the conic section: Length from center to horizontal extreme: Length from center to vertical extreme: -2 5.

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A: Please refer the attached image for complete Solution.

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A: Given: The graph of function as To find: The equation of the function.

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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.