Answer:
C. 14
Step-by-step explanation:
F(x) = ∫₀²ˣ √(t³−15) dt
Use second fundamental theorem of calculus:
F'(x) = √((2x)³−15) d/dx (2x)
F'(x) = 2 √(8x³−15)
Evaluate at x=2:
F'(2) = 2 √(8×2³−15)
F'(2) = 2 √(64−15)
F'(2) = 2 √49
F'(2) = 14
Answer:
There are 12 floors in a hospital.
Step-by-step explanation:\
Each floor has 64 beds, but the hospital has totally 768 beds
So,
(floors)
Answer:
96 sq. cm.
Step-by-step explanation:
A "kite" has 2 diagonals, which are the "width" and "height" of the kite.
Using diagonals, the area of a kite is given by 
Where
A is the area
p,q are the width and height, respectively
From the problem given, p is 12 and q is 16, so the area is:

Thus, the area is 96 sq. cm
Answer:
1
Step-by-step explanation:
Given the system of equations below
y=2x+5
y=x+6
Equating the right hand side of the expressions we will have;
2x+5 = x+6
Collect the like terms;
2x - x = 6 - 5
x = 1
Hence the x-coordinate of the solution to the system is 1