Answer:
A)2
Step-by-step explanation:
we would like to integrate the following definite Integral:
use constant integration rule which yields:
notice that we can rewrite √x using Law of exponent therefore we obtain:
once again use law of exponent which yields:
use exponent integration rule which yields;
simplify which yields:
recall fundamental theorem:
simplify:
hence
our answer is A
Answer:
The height of the pole is 105ft,
Step-by-step explanation:
Let us call the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is
.
The wire length is 14 ft longer than height
, hence
.
Thus we get a right triangle with hypotenuse , perpendicular
, and base
; therefore, the Pythagorean theorem gives
which upon expanding we get:
further simplification gives
,
which is a quadratic equation with solutions
Since the first solution will give the triangle base length of
which is negative; therefore, we disregard it and pick the solution
.
Hence, the height of the pole is 105ft.