Answer:

Step-by-step explanation:
The equation given calculates the derivative of the height in relation to the time, that is, the rate of change of the height. To find the equation for the height, we need to integrate this equation:

Multiplying both sides by 'dt', we have:

Using the integral in both sides:



So the height after t years is represented by this equation:

Step-by-step explanation:
Happy New Year Everyone!!!
Answer:

Step-by-step explanation:
The formula for the area of a triangle is given by :
...(1)
Where b is the length of the base and h is the height.
We need to find the value of b from the above formula.
Cross multiplying equation (1) we get :

Now dividing both sides by h. So,

So, the correct option is (D) i.e.
.
Answer:
K1/K2=4
Step-by-step explanation:
The kinetic energy of a rotating sphere is given by:

The moment of inertia of a solid sphere is given by

The initial kinetic energy is therefore


The final kinetic energy is given by

Therefore the relation K1/K2 if R2 = 0.5R1

The text says nothing about the final angular velocity just the collapse of the collapse of the radius

Answer:
x = 2i, x = -2i and x = 4 are the roots of given polynomial.
Step-by-step explanation:
We are given the following expression in the question:

One of the zeroes of the above polynomial is 2i, that is :

Thus, we can write

Now, we check if -2i is a root of the given polynomial:

Thus, we can write

Therefore,

Dividing the given polynomial:

Thus,

X = 4 is a root of the given polynomial.

Thus, 2i, -2i and 4 are the roots of given polynomial.