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
Answer:
12, 18, 24, 30
Step-by-step explanation:
List the numbers between 11 and 34 that can be evenly divided by 3:
12, 15, 18, 21, 24, 27, 30, 33
Then eliminate the odd numbers, obtaining:
12, 18, 24, 30
These are the four busses that Camille could ride to work.
Answer:
P = 20 cm
Step-by-step explanation:
The appropriate formula is P = 2W + 2L.
Here that comes to P = 2(6 cm) + 2(4 cm) = 20 cm
Answer:
<em>18</em>.
Domain: X E \{-3,2}
Y-Intercept: 1/2
X-Intercept: 3
<em>19.</em>
Domain: (I think it's none)
Y-Intercept: -2
X-Intercept: 2
<em>20.</em>
Domain: X E R\ {-3,1}
y-INTERCEPT: 2/3
x-INTERCEPT: -1
Step-by-step explanation: