The 64-ounce carton of orange juice costs $4.69. Find the unit price per ounce to the nearest tenth of a cent.
2 answers:
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Answer:
The expression of the ellipse is:
Step-by-step explanation:
The equation of a ellipse can be written by the following expression:
Where 2a is the length of the major axis and 2b is the length of the minor axi. Since we were given the length of the minor vertex, then:
The length of the major axis is the distance between the two vertices.
Therefore the expression of the ellipse is:
We have been given the expression to be
Since we need to find the tangent at a point, we will have to find the derivative of as the slope of the tangent at a given point on the curve is always equal to value of the derivative at that point.
Thus, we have to find
We will use the product rule of derivatives to find
Thus, (using the product rule which states that
)
Taking the common factors out we get:
Thus, at
is given by:
=Slope of the tangent of y at x=4=
Thus,
Now, the equation of the tangent line which passes through and has slope m is given by:
Thus, the equation of the tangent line which passes through and has the slope 185 is
Which can be simplified to
Thus,
This is the required equation of the tangent.
Answer:
Step-by-step explanation:
We are trying to find the hypotenuse of a right triangle
We will use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
11^2 + 7^2 = c^2
121 + 49 = c^2
170 = c^2
Taking the square root of each side