Answer:
a) 13 m/s
b) (15 + h) m/s
c) 15 m/s
Step-by-step explanation:
if the location is
y=x²+3*x
then the average velocity from 3 to 7 is
Δy/Δx=[y(7)-y(3)]/(7-3)=[7²+3*7- (3²+3*3)]/4= 13 m/s
then the average velocity from x=6 to to x=6+h
Δy/Δx=[y(6+h)-y(6)]/(6+h-6)=[(6+h)²+3*(6+h)- (6²+3*6)]/h= (2*6*h+3*h+h²)/h=2*6+3= (15 + h) m/s
the instantaneous velocity can be found taking the limit of Δy/Δx when h→0. Then
when h→0 , limit Δy/Δx= (15 + h) m/s = 15 m/s
then v= 15 m/s
also can be found taking the derivative of y in x=6
v=dy/dx=2*x+3
for x=6
v=dy/dx=2*6+3 = 12+3=15 m/s
It's hard to read your picture
But if your equation is
(-3)^2 + (-2)^3
then its:
-3*-3 + -2*-2*-2 = -9 - 8 = -17
Answer:
<h2>
$3448.81</h2>
Step-by-step explanation:
Using the compound interest formula to calculate the amount compounded after 10years.

P = principal = $2000
r = rate (in %) = 5.6%
t = time (in years) = 10years
n = 1year = time used in compounding

Amount compounded after 10 years is $3448.81
Answer:
2
Step-by-step explanation:
The given equation of line is
We need to find the slope of a line which is perpendicular to the given line.
The given equation can be rewritten as
...(i)
If a line is defined as
, then the slope of the line is
In equation (i), a=3, b=6 and c=18. So, slope of the line is
Let
be the slope of perpendicular line.
We know that product of two perpendicular line is -1.
Multiply both sides by -2.
Therefore, the slope of perpendicular line is 2.