give me 3 pictures showing the application of the sum and the product of the roots of quadratic equations in real life . describ
e to me how quadratic are illustrated in the pictures you gave to me
2 answers:
Attached 3 pictures showing the application of the sum and the product of the roots of quadratic equations in real life
<h3>Further explanation </h3>A quadratic equation is any equation having the form where x represents an unknown, and a, b, and c represent known numbers with a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no term.
Attached 3 pictures showing the application of the sum and the product of the roots of quadratic equations in real life
According to the first picture, it is about the basket ball athlete who shoot a soccer ball. How quadratic are illustrated in the pictures is a professional basketball players such as Stephen Curry can maintain such a consistent shot parabola by knowing the factors in this quadratic equation.
According to the second picture, it is about the bridge having the quadratic equation How quadratic are illustrated in the pictures is there are several basic ideas used in bridge construction. A beam (or truss) bridge consists of a series of piers that are evenly spaced along the entire span of the bridge. Whereas arch bridges are designed such that the forces acting upon the bridge are evenly distributed along the entire span of the bridge.
According to the third picture, it is about the soccer ball athlete who shoot a soccer ball. How quadratic are illustrated in the pictures is when a soccer ball is kicked into the air, we can know how long will the ball take to hit by quadratic equations.
<h3>Learn more</h3>- Learn more about the sum and the product brainly.com/question/1846153
- Learn more about the roots of quadratic equations brainly.com/question/2777371
- Learn more about quadratic equations brainly.com/question/2771196
<h3>Answer details</h3>
Grade: 9
Subject: mathematics
Chapter: application of the sum and the product of the roots of quadratic equations
Keywords: the sum and the product, the roots of quadratic equations, quadratic equation, real life, pictures
We can apply Quadratic equations in real-world like; sports, bridges, projectile motion, shapes of bananas etc.
Following are three pictures of real world application of quadratics.
Example 1:- Here we can see a Cyclist follows a quadratic path to jump over the obstacles.
Example 2:- Here we see a man throwing a basketball towards the net following a slightly upward direction that goes through a quadratic path.
Example 3:- Here a football player kicks the ball in the sky and it goes through a quadratic path to cover some distance.
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Answer:
Part a: is continuous at the initial value (0,0) so due to Picardi theorem there exists an interval such that the IVP has a unique solution.
Part b: is not continuous at the initial value (0,0) so due to Picardi theorem there does not exist an interval such that the IVP has a unique solution.
part c: is continuous at the initial value (0,1) so due to Picardi theorem there exists an interval such that the IVP has a unique solution.
Step-by-step explanation:
Part a
as
Let
Now derivative wrt y is given as
Finding continuity via the initial value
is continuous on
also
is also continuous on
Also
is continuous at the initial value (0,0) so due to Picardi theorem there exists an interval such that the IVP has a unique solution.
Part b
as
Let
Now derivative wrt y is given as
Finding continuity via the initial value
is continuous on
also
is also continuous on
Also
is not continuous at the initial value (0,0) so due to Picardi theorem there does not exist an interval such that the IVP has a unique solution.
Part c
as
Let
Now derivative wrt y is given as
Finding continuity via the initial value
is continuous on
also
is also continuous on
when
Also
is continuous at the initial value (0,1) so due to Picardi theorem there exists an interval such that the IVP has a unique solution.