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
B., C.
Step-by-step explanation:
Since the 'E' in the middle
it represents that the angle forms at the vertex E
Answer:
Step-by-step explanation:
Answer:
1. L= A/W
2. 4m
Step-by-step explanation:
We can define this problem as a word problem relating to mensuration of flat shapes, a
rectangle
1. Let the length be L and the width be W
Given
Area A= 6m²
W= 1.5m
We know that the area of a rectangular shape is
Area = L x W
The expression for the length is
L= A/W
2. The solution for the length is
6=1.5L
L= 6/1.5= 4m
