How to do this question plz answer me step by step plzz
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The function of the water balloon is an illustration of a quadratic function.
The balloon will splat on the ground after 2.5 seconds
The function is given as:
When the balloon splats on the ground, the value of h(t) is 0.
So, we have:
Expand the expression
Factorize the above expression
Factor out 2t - 5 in the 2t - 5
Split the equation into 2
Rewrite as:
Solve for t
The value of t cannot be less than 0 i.e. negative.
So, we have
Divide 5 by 2
Hence, the balloon will splat on the ground after 2.5 seconds
Read more about quadratic functions at:
According to the question, the given rational expression can be simplified which is as shown below:
Rational expression =
For the simplification of the given expression, calculate the factors of the numerator as well as denominator terms and divide them from each other. In this change the sign of the expression before dividing with each other.
Rational expression =
The rational expression are also known as polynomial expression. The highest degree of these expression is two. And these expression uses concept of factor rule.
Therefore, the final expression is
What is polynomial expression?
Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.
To learn more about the polynomial expression from the given link:
<u>brainly.com/question/1280754</u>
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is conservative if we can find a scalar function such that
. This would require
Integrating both sides of the first equation wrt gives
Differentiating both sides of this wrt gives
but we assumed was a function of
and
, independent of
. So there is no such
and
is not conservative.
To find the work, first parameterize the path (call it ) by
for . Then
and the work is given by the line integral,