Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) g(t) = 6 + t + t2/square root t

An antiderivative is a function that reverses what the derivative does.

Antiderivative is also known as integration.

Antiderivative of given function is  

Antiderivative ,    

So,  

Learn more:

link

Step-by-step explanation:

Given the expression;

g(t) = 6 + t + t²/√t

This can be rewritten as;

g(t) = 6 + t +t²/t^1/2

g(t) = 6 + t +t^{2-1/2}

g(t) = 6 + t +t^3/2

Integrate the result

Using the formula x^{n+1}/n+1

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.