Answer:
c. 
Step-by-step explanation:
We have been given that the area in square units of an expanding circle is increasing twice as fast as its radius in linear units
We will use derivatives to solve our given problem.
We know that area (A) of a circle is equal to
.
Let us find derivative of area function with respect to time.

Bring out constant:

Using power rule and chain rule, we will get:

Here
represents change is radius with respect to time.
We have been given that area of an expanding circle is increasing twice as fast as its radius in linear units. We can represent this information in an equation as:





Therefore, the radius is
and option 'c' is the correct choice.
Using universal measurement kilo, hecto, deca, unit ( as in grams meters or liters), deci, centi, mili
You would move your decimal two point to the right making it centi so
Meters Centimeters
1.7 = 170
So the man is 170 centimeters in height
Answer:
0.25feet
Step-by-step explanation:
The equation is not well written. Let the equation of the height be modelled as;
h = -16d²+8d+4
The velocity of the ball is zero at its maximum height.
Velocity = change in displacement/time
v = dh/dd
Differentiate
v = -32d+8
Since dh/dd = v = 0
0 = -32d+8
Add 32d to both sides
0+32d = 8
32d = 8
Divide both sides by 32
32d/32 = 8/32
d = 1/4
d = 0.25feet
Hence the maximum height of the tennis ball is 0.25feet
Note that the modeled equation was assumed. You can apply the same calculation to any equation given
F(-3)=(-3)2 - 1 / -3 + 4
f(-3)= -6 -1 / -3 + 4
f(-3)= -7/1
f(-3)=-7
Answer:
7 hours working as a lifeguard and 8 hours walking dogs
Step-by-step explanation:
16×7=122 and 6×8=48
122+48=160