What are the steps to find the solution to an inequality?
1 answer:
Answer:
Very similar to solving an equation.
Step-by-step explanation:
You have to use the properties of equality to "undo" each number and isolate the letter to one side.
How ever, if you are multiplying or dividing by a negative number, then the inequality must be reversed.
(This picture from onlinemathlearning.com might help if you're still confused.)
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Answer:
See Explanation;
Step-by-step explanation:
The given vectors are;
and
a) To add or subtract two vectors, we add or subtract their corresponding components
b) See attachment for graphs(1,6
<em><u>This problem seems to be wrong because no minimum point was found and no point of landing exists</u></em>
Answer:
1) There is no maximum height
2) The ball will never land
Step-by-step explanation:
<u>Derivatives</u>
Sometimes we need to find the maximum or minimum value of a function in a given interval. The derivative is a very handy tool for this task. We only have to compute the first derivative f' and have it equal to 0. That will give us the critical points.
Then, compute the second derivative f'' and evaluate the critical points in there. The criteria establish that
If f''(a) is positive, then x=a is a minimum
If f''(a) is negative, then x=a is a maximum
1)
The function provided in the question is
Let's find the first derivative
solving h'=0:
x=3
Computing h''
h''(x)=4
It means that no matter the value of x, the second derivative is always positive, so x=3 is a minimum. The function doesn't have a local maximum or the ball will never reach a maximum height
2)
To find when will the ball land, we set h=0
Simplifying by 2
Completing squares
Factoring and rearranging
There is no real value of x to solve the above equation, so the ball will never land.
This problem seems to be wrong because no minimum point was found and no point of landing exists