(a) Determine x(t) and y(t) a pair of parametric equations for the graph of y = cosh x. (b) Calculate dy/dx using the parametric equations from above. (c) Set up but do not solve the integral to calculate the arc length (s) of the curve between
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.
(a) Determine x(t) and y(t) a pair of parametric equations for the graph of y = cosh x.
(b) Calculate dy/dx using the parametric equations from above.
(c) Set up but do not solve the integral to calculate the arc length (s) of the curve between
x = −1 and x = 1.
(d) Estimate the arc length s from the question above using a Riemman Sum with n = 20
and midpoints. Please show work.
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