The derivative of the vertical position is
.. y' = 2/40*(x -50)
so the integral that gives the length of the curve the kite traveled is

It is convenient to let a graphing calculator compute this integral numerically. If you want to do it analytically, a table of integrals can be handy. The indefinite integral is

This evaluates to

feet
Answer:
A
Step-by-step explanation:
The figure has two disjoint pairs of consecutive sides which are congruent.
Thus the figure is a Kite
Using the properties of a Kite
• The diagonals are perpendicular
• The main diagonal diagonal bisects the pair of opposite angles
Hence ∠1 = 90° ( diagonals are perpendicular )
The angle 22° is a bisected angle so the angle below is also 22°
The sum of the 3 angles in a triangle = 180°, hence
∠2 = 180° - (90 + 22)° = 180° - 112° = 68°
The solution is A
F ( x ) = ( x + 7 ) ( x + 4 ) - ( x + 5 ) ( x + 2 ) =
= ( x² + 4 x + 7 x + 28 ) - ( x² + 2 x + 5 x + 10 ) =
= ( x² + 11 x + 28 ) - ( x² + 7 x + 10 ) =
= x² + 11 x + 28 - x² - 7 x - 10 = 4 x + 18
Answer:
The area of the shaded region is 4 x + 18.
Answer:
223
Step-by-step explanation: