
Differentiate both sides with respect to

:

When

, you have

For part (b), we now assume that

and

are functions of an independent variable, which we'll call

(for time). Now differentiating both sides with respect to

, we have

where the chain rule is used on the right side. We're told that

is decreasing at a constant rate of 0.1 units/second, which translates to

. So when

, you have



where the unit is again units/second.
Answer:
2m/s² ; - 2m/s²
25m ; 50m ; 25m
6.67 m/s²
Step-by-step explanation:
The acceleration and deceleration :
Both rates are the Same from the graph ;
According to scenario described, acceleration = 2m/s²
Deceleration occurred in equal time interval = - 2m/s
Distance covered during each stage:
Stage 1 : area of triangle
0.5 * base * height
0.5 * 5 * 10 =25 m
Stage 2: area of rectangle :
Length * breadth = 5 * 10 = 50 m
Stage 3 : area of triangle
0.5 * base * height
0.5 * 5 * 10 =25 m
Average Velocity :
Total distance / time = (25 + 50 + 25) / 15 = 100/ 15 = 6. 67 m/s
The Answer is the last one. it equals -1
Answer:
He multiplied 3/4 by 1/5 instead of dividing 3/4 by 1/5.
Step-by-step explanation:
Correct is 3/4 / 1/5
= 3/4 * 5
= 15/4 gallons per minute.
I believe the answer is 160.Keep in mind the order of operations.P,E,M+D,A+S. Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction