We illustrate
[link] in
[link] . In particular, by representing the remainder
as the sum of areas of rectangles, we see that the area of those rectangles is bounded above by
and bounded below by
In other words,
and
We conclude that
Since
where
is the
partial sum, we conclude that
Estimating the value of a series
Consider the series
Calculate
and estimate the error.
Determine the least value of
necessary such that
will estimate
to within
Using a calculating utility, we have
By the remainder estimate, we know
We have
Therefore, the error is
Find
such that
In part a. we showed that
Therefore, the remainder
as long as
That is, we need
Solving this inequality for
we see that we need
To ensure that the remainder is within the desired amount, we need to round up to the nearest integer. Therefore, the minimum necessary value is
If
is a series with positive terms
and
is a continuous, decreasing function such that
for all positive integers
then
either both converge or both diverge. Furthermore, if
converges, then the
partial sum approximation
is accurate up to an error
where
The
p -series
converges if
and diverges if
Key equations
Divergence test
p -series
Remainder estimate from the integral test
For each of the following sequences, if the divergence test applies, either state that
does not exist or find
If the divergence test does not apply, state why.
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
hello. autism is a umbrella term. autistic kids have different disorder overlapping. for example. a kid may show symptoms of ADHD and also learning disabilities.
before treatment please make sure the kid doesn't have physical disabilities like hearing..vision..speech problem. sometimes these
Jharna
continue..
sometimes due to these physical problems..the diagnosis may be misdiagnosed.
treatment for autism.
well it depends on the severity.
since autistic kids have problems in communicating and adopting to the environment.. it's best to expose the child in situations where the child
Jharna
child interact with other kids under doc supervision.
play therapy.
speech therapy.
Engaging in different activities that activate most parts of the brain.. like drawing..painting. matching color board game.
string and beads game.
the more you interact with the child the more effective
Jharna
results you'll get..
please consult a therapist to know what suits best on your child.
and last as a parent. I know sometimes it's overwhelming to guide a special kid.
but trust the process and be strong and patient as a parent.
Jharna
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