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Calculus crêpes

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jools_e
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Calculus Crêpes,[object Object],They’re math-magical!,[object Object]
I think it’s time for some crêpes. Now where did that recipe go?,[object Object],Found it!,[object Object],Uh-oh…..,[object Object]
I only have the Calculus Crepe recipe without the answers! I don’t think I remember Calculus enough to solve the problems. Will you help me?,[object Object]
Thank you so much! Here’s the whole recipe. We should go through each formula one by one, step by step. We’ll have the answers in no time!,[object Object],Solve for the quantity of each ingredient to make delicious Calculus Crêpes!	,[object Object], ,[object Object],B large eggs,[object Object],C cup water,[object Object],D cup milk,[object Object],E cup flour,[object Object],Butter, for coating the pan,[object Object], ,[object Object],B:,[object Object],A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute. How fast is the radius of the balloon increasing at the instant the radius is 30 centimeters. *Completely reduce and do not change into decimal form. The # of cups will be the numerator. ,[object Object],C:,[object Object],A farmer plans to fence a rectangular pasture adjacent to a river. The pasture must contain 245,000 square meters. What dimensions will require the least amount of fencing if no fence is needed along the river. *Divide the smaller number over the larger number to get the number of cups of water. ,[object Object],D:,[object Object], Find the particular solution of                             that satisfies (0,1/2).,[object Object],E: ,[object Object],Locate the absolute the extrema of f(x)=2x-3 over the interval (0,2]. *The y-value will indicate the number of cups of flour.,[object Object]
 related Eggs,[object Object],A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute. How fast is the radius of the balloon increasing at the instant the radius is 30 centimeters. *Completely reduce and do not change into decimal form. The # of cups will be the numerator. ,[object Object],r=30 cm,[object Object],r=30 cm,[object Object],Given:,[object Object],Step 1: Differentiate with respect to r,[object Object],Step 3: Plug in known variables  ,[object Object],Step 2: Solve for  ,[object Object],Solve:,[object Object],2 eggs,[object Object]
optimal Water,[object Object],A farmer plans to fence a rectangular pasture adjacent to a river. The pasture must contain 245,000 square meters. What dimensions will require the least amount of fencing if no fence is needed along the river. *Divide the smaller number over the larger number to get the number of cups of water.,[object Object],xy=245,000,[object Object],S=length of fence needed=x+2y,[object Object],Step 1: Set-up equation,[object Object],Step 4: Plug in x-value to find y-value.,[object Object],700y=245,000,[object Object],y=350,[object Object],Step 2 & 3: Differentiate, set equal to 0 & solve for x,[object Object],Don’t forget to check that the second derivative will be > 0,[object Object],*Divide the smaller number over the larger number to get the number of cups of water.,[object Object],350/700=1/2,[object Object],x=700,[object Object],½ cup of water,[object Object]

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Calculus crêpes

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