Answer:

Step-by-step explanation:
<u>Fundamental Theorem of Calculus</u>

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a <u>constant of integration</u>.

Increase the power by 1, then divide by the new power.
Given <u>indefinite integral</u>:

To integrate the given integral, use Integration by Parts:



Therefore:

Learn more about integration here:
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There are 5820 ft per mile
so the answer is 5820ft/min
Hope this helps!
e follSOLUTION
Given the question in the image, the following are the solution steps to answer the question
STEP 1: Write the general equation of an ellipse

STEP 2: Identify the parameters
the length of the major axis is 2a
the length of the minor axis is 2b

STEP 3: Get the equation of the ellipse

STEP 4: Pick the nearest equation from the options,
Hence, the equation of the ellipse in the image is given as:

OPTION A
<span>Cost of maple syrup = $6.00 a Gallon
Cost of corn syrup = 0.80 cents a Gallon
Cost of the syrup mixture = $2.36 a Gallon
There is mixture of 50 Gallons
Lets maple syrup be x gallons, so corn syrup be 50-x gallons
Hence,
6*x + 0.80(50-x) = 2.36*50
6x + 40 - 0.8x = 118
5.2x = 78
=> x = 78/5.2 => x = 15
So Maple will be syrup be 15 gallons.
Corn syrup will be 35 gallons.</span>