Step-by-step explanation:
If a cannonball is shot directly upward with a velocity of 160 ft per second. Its height as a function of time is given by :
.......(1)
t is in seconds
(a) Velocity is given by :
Acceleration is given by :

(b) For maximum height put 
i.e.

Put t = 5 s in equation (1). So,

(c) When the ball reaches ground, its height is equal to 0. So,
h(t) = 0

Hence, this is the required solution.
has no antiderivative in terms of elementary functions (polynomials, exponentials, logarithms, trigonometric functions, etc), but there is a special function defined to fit that role called the error function,
, where

By the fundamental theorem of calculus, we can see that

which means we have

Answer:
f(2) = g(2) and f(0) = g(0)
Step-by-step explanation:
When x = x in f(x) and g(x), that means the two functions are equal.
The distance between the points C(-3,1) and D(5,6) is 10.3 units.
<u>Step-by-step explanation:</u>
Let us consider CD is a line segment.
The point C is (-3,1) and D is (5,6).
The Cartesian formula for line is used to find the length between the CD.
Distance between two points =
.
The points are (-3,1) and (5,6).
=
.
=
=
.
=
.
=
.
=10.295 ≈ 10.3.
Distance between two points 10.3 units.
Answer:
x=25
Step-by-step explanation:
(2x+15) + X. 25 times 2 =50+15= 65+25= 90