Answer:
35 mililiters
Step-by-step explanation:
Given

Required
Accumulated amount from t = 0 to 2
This implies that, we substitute the values of t from 0 to 2 in the function



The accumulated sand (r) is:



C is the correct answer I believe
Answer:

Step-by-step explanation:
we have

step 1
Group terms that contain the same variable, and move the constant to the opposite side of the equation

step 2
Factor the leading coefficient

step 3
Complete the square. Remember to balance the equation by adding the same constants to each side


step 4
Rewrite as perfect squares

Answer:
cm/sec.
Step-by-step explanation:
We have been given that a particle in the first quadrant is moving along a path described by the equation
such that at the moment its x-coordinate is 2, its y-coordinate is decreasing at a rate of 10 cm/sec. We are asked to find the rate at which x-coordinate is changing at that time.
First of all, we will find the y value, when
by substituting
in our given equation.







Since the particle is moving in the 1st quadrant, so the value of y will be positive that is
.
Now, we will find the derivative of our given equation.

We have been given that
,
and
.







Therefore, the x-coordinate is increasing at a rate of
cm/sec.
Answer:
pi is 3.14
Step-by-step explanation:
and pi is used to find the area and circumference of a circle. Pi can be used to find an area by multiplying the radius of the circle squared times pi. So, to find the area of a circle with a radius of 3 centimeters, the calculation would be π3^2 = 28.27 cm.