Determine the constants a,b,c, and d

Thread starter angela107
Start date May 27, 2020
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Constants

In summary, constants in scientific experiments are factors that remain consistent and unchanged throughout the experiment. They are determined through careful planning and control to isolate the effects of the independent variable. The purpose of determining constants is to increase the validity and reliability of the experiment's findings. They have a significant impact on the results by eliminating potential confounding variables. While constants can change if new information arises, this may require modifying the experiment and reevaluating the results.

May 27, 2020

angela107

Homework Statement: Determine the constants a, b, c and d such that ##f(x)=ax^3+bx^2+cx+d## has a local maximum at the point (2, 4) and a point of inflection at the origin. Show your work.

Relevant Equations: n/a

Screen Shot 2020-05-27 at 1.01.44 PM.png

So are my constants a=-1/4, b=0, c=3, and d=0?

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May 27, 2020

Doc Al

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angela107 said:

So are my constants a=-1/4, b=0, c=3, and d=0?

Looks OK to me.

1. What are constants in science?

Constants in science are values that remain the same throughout an experiment or study. They are used to establish a baseline and provide a point of comparison for the data collected.

2. Why is it important to determine constants in an experiment?

Determining constants in an experiment is important because it helps to eliminate any variables that could potentially affect the results. This allows for more accurate and reliable data to be collected.

3. How do you determine the value of a constant?

The value of a constant is typically determined through previous research, mathematical calculations, or experimentation. It is important to use reliable and accurate methods to determine the value of a constant.

4. What is the difference between a constant and a variable?

A constant is a value that remains the same throughout an experiment, while a variable is a factor that can change and affect the outcome of the experiment. Constants are used to establish a baseline, while variables are what are being tested or measured.

5. Can constants change?

In most cases, constants do not change. They are set values that remain the same throughout an experiment. However, in some cases, constants may change due to new research or advancements in technology.