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This page was
last revised on
March 04, 2009

Movies
Algebra
  • Movie 1: How many gallons of 10% sulfuric acid solution needs to be added to 5 gallons of 40% sulfuric acid solution to make a 20% acid solution?

  • Movie 2: Simplify (3+2i) + (-2+3i).

  • Movie 3: Simplify (2-3i)-(5-i).

  • Movie 4: Simplify (2+3i)(4-2i).

  • Movie 5: Simplify \dfrac{2+i}{3-2i}.

  • Movie 6: Simplify i^9.

  • Movie 7: Simplify i^{15}.

  • Movie 8: Newton tosses an apple from the depth of 4 feet upward at 10 ft/sec. The height function is h(t)=-4+10t-16t^2. When will the apple land?

  • Movie 9: Solve the compound inequality 2(x-1)\leq 4 and 4-3x<1.

  • Movie 10: Solve x^2-6x+2=0.

  • Movie 11: Solve x^4-x^3+10x^2+6x+20=0 given that x=1-3i is a solution.

  • Movie 12: Solve x^3+(1-i)x^2-(3+3i)x-6-3i=0 given that x=2+i is a solution.

  • Movie 13: Solve 5x^3+8x^2+11x-6=0 given that one of the roots is a rational number.

  • Movie 14: If you deposit $2000 into a savings account with 8% interest rate, how much money will you have after 5 years if the interest is compounded a) yearly; b) quarterly; c) monthly; d) continuously.

  • Movie 15: How much money do you need to put into a 6% savings account , compounded monthly, to have $8000 after 10 years.

  • Movie 16: At what constant rate, compounded continuously, does one need to invest to double one’s money in 8 years.

  • Movie 17: At what rate compounded continuously does one need to invest to get the same performance as investing at 12% compounded quarterly.

  • Movie 18: Sketch the graph of f(x)=\dfrac{12-3x^2}{x^2-2x-3}.

  • Movie 19: a) What is the rate of decay of Uranium-232 if its half-life is 69 years? b) How much of 10 grams of U^{232} will be left after 100 years?

  • Movie 20: Find the domain of f(x)=\ln\dfrac{x+1}{(x-3)^2}.

  • Movie 21: Solve 4^{x-3}=8^{5-2x}.

  • Movie 22: Solve 2^{x-1} = 3^{2x+1}.

  • Movie 23: Solve \log_3{(x+4)} + \log_3{(x+2)}=1.

  • Movie 24: Solve \ln{(x+1)} - \ln{(x-2)} = 3.

    • Limits
  • Movie 1: Find \delta >0 for \epsilon=0.03 in \lim_{x \to 2}\ (3x-2) = 4.

  • Movie 2: Find \delta >0 for arbitrary \epsilon in \lim_{x \to 2}\ (3x-2) = 4.

  • Movie 3: Find \delta >0 for \epsilon = 0.1 in \lim_{x \to 0}\ x^2 \sin{\dfrac{1}{x}} = 0.

  • Movie 4: Find \lim_{x\to 0}\ \dfrac{\sin{3x}}{7x}.

  • Movie 5: Find \lim_{\theta\to 0}\ \dfrac{\sin^2{4\theta}}{\theta^2}.

  • Movie 6: Find \lim_{x\to 0}\ \dfrac{\cos{x} - 1}{x^2}.

  • Movie 7: Find \delta >0 for arbitrary \epsilon in \lim_{x \to 1}\ (\sqrt{x}+1) = 2.

  • Movie 8: Find \displaystyle\lim_{x\to 5}\, \dfrac{\sqrt{x^2-9}-4}{x^2-6x+5}.

  • Movie 9: Find \displaystyle\lim_{x\to 1^-}\, \dfrac{x^2-1}{|x-1|}.

  • Movie 10: Find \displaystyle\lim_{x\to 2}\, \dfrac{\dfrac{1}{x} - \dfrac12}{x-2}.

    • Derivatives
  • Movie 11: Find \dfrac{d}{dx} \sin{x^2} \cos{\dfrac1x}.

  • Movie 12: Find \dfrac{d}{dx} \sin^3 {\sqrt{x}}.

  • Movie 13: Given xy=3, find \dfrac{dy}{dx} and \dfrac{d^2 y}{dx^2}.

  • Movie 14: Given y \sec{xy}=1, find \dfrac{dy}{dx}.

  • Movie 15: Given x^2 y^3=8, find \dfrac{d^2 y}{dx^2} at (-1, 2).

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    Questions or Comments?
    E-mail: elkin@math.colostate.edu