Which mathematical concepts are the result of the work of Rene Descartes
2 answers:
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SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Get the given data values
STEP 2: Write the formula for calculating the coefficient
STEP 3
: Calculate the correlation coefficient
Using the calculator,
Hence, the value of r is 0.791
Answer:
Step-by-step explanation:
The function that could model this periodic phenomenon will be of the form
The tide varies between 3ft and 9ft, which means its amplitude is
and its midline is
.
Furthermore, since at the tide is at its lowest ( 3 feet ), we know that the trigonometric function we must use is
.
The period of the full cycle is 14 hours, which means
giving us
With all of the values of the variables in place, the function modeling the situation now becomes