For the following parameterized curve, find the unit tangent vector T(t) at the given value of t. r(t) = < 8 t,10,3 sine 2 t >, for 0

The tangent vector for is:

Step-by-step explanation:

The function to be used is

The unit tangent vector is the gradient of divided by its norm, that is:

Where is the gradient operator, whose definition is:

The components of the gradient function of are, respectively:

, and

For :

, and

The norm of the gradient function of is:

For :

The tangent vector for is:

8

step-by-step explanation:

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.