1. Calculus Crêpes They’re math-magical!

2. I think it’s time for some crêpes. Now where did that recipe go? Found it! Uh-oh…..

3. 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?

4. 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! Solve for the quantity of each ingredient to make delicious Calculus Crêpes! B large eggs C cup water D cup milk E cup flour Butter, for coating the pan B: 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. C: 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. D: Find the particular solution of that satisfies (0,1/2). E: 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.

5. related Eggs 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. r=30 cm r=30 cm Given: Step 1: Differentiate with respect to r Step 3: Plug in known variables Step 2: Solve for Solve: 2 eggs

6. optimal Water 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. xy=245,000 S=length of fence needed=x+2y Step 1: Set-up equation Step 4: Plug in x-value to find y-value. 700y=245,000 y=350 Step 2 & 3: Differentiate, set equal to 0 & solve for x Don’t forget to check that the second derivative will be > 0 *Divide the smaller number over the larger number to get the number of cups of water. 350/700=1/2 x=700 ½ cup of water

7. differential Milk Find the particular solution of that satisfies (0,1/2). Step 1: Separate the variables Step 2: Integrate = Step 3: Plug in variables to solve for C ¾ cups of milk

8. Flour 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. Step 1: Differentiate Step 2: Plug in x to find y. f(x)=2x-3 f’(x)=2 f(2)=2(2)-3 f(2)=1 (2,1) 1 cup of flour

9. Finished! 2 large eggs 3/4 cup milk 1/2 cup water 1 cup flour Butter, for coating the pan Directions In a blender, combine all of the ingredients and pulse for 10 seconds. Place the crepe batter in the refrigerator for 1 hour. This allows the bubbles to subside so the crepes will be less likely to tear during cooking. The batter will keep for up to 48 hours. Heat a small non-stick pan. Add butter to coat. Pour 1 ounce of batter into the center of the pan and swirl to spread evenly. Cook for 30 seconds and flip. Cook for another 10 seconds and remove to the cutting board. Lay them out flat so they can cool. Continue until all batter is gone. After they have cooled you can stack them and store in sealable plastic bags in the refrigerator for several days or in the freezer for up to two months. When using frozen crepes, thaw on a rack before gently peeling apart. Great job! Our recipe is completed and now it’s time to enjoy some crepes!