“The sun did not shine. It was too wet to play. So we sat in the house. All that cold, cold, wet day.” ― Dr. Seuss, The Cat in the Hat

Click here for the Calvin and Hobbes Snow Gallery.

Graph y = -0.3x(x+2)(x-1) on your calculator. Now find the area between the curve and the x-axis in the first quadrant. Your calculator will find it for you. Start with [2nd] [CALC] [7]….  I’ll let you figure out the rest.

Email me the correct answer by 11:59 P.M. by 1/8/2017 and you’ll receive +2 points extra-credit on the last quiz. You are welcome to receive assistance, but you are on your honor to actually use your calculator and not just copy someone else’s answer.

“A snowball in the face is surely the perfect beginning to a lasting friendship.” ― Markus Zusak, The Book Thief

math

The potential for another +3 points expires at 11.59 P.M., 1/7/2017

#1:  Find a function F(x) such that F'(x) = f(x) if f(x) = 12x2 – 12x + 12

#2:  Find a function G(x) such that G'(x) = g(x) if g(x) = 4sinx – 3cosx

#3:  Find a function H(x) such that H'(x) = h(x) if h(x) = x2/3

Email me your answers to each of the three questions above. Each correct answer will get you +1 point of extra credit on the last quiz. Seek assistance if you must, but don’t email in your work if you don’t understand the concept.

(Let it snow!)^3

For +5 points on the last quiz, email me a picture of your correct work and answer to the question below by 11:59 P.M., 1/6/2017.  You may get assistance with this, but please don’t turn in a solution that you do not understand.

Ridge is building a snowman. He begins by rolling a ball of snow such that he forms a perfect sphere of snow with a radius which increases at constant rate of 0.5 cm/sec. At what rate is the volume of this sphere of snow increasing when the “snowball” is 30 cm in diameter?