30 January 2012, 5:05 pm
Hey guys I really need help, 1) Give an example of a quadratic inequality with the indicated solution. a. All real numbers b. No solution c. Exactly one solution d. [-2,5] e. (-infinity, -1) U (4, infinity) f. All real numbers 2) Let f(x)=x^2+1. Find a function g so that: a. (fg)(x)=x^4-1 b. (f + g)(x)=3x^2 c. (f/g)(x)=1 d. f(g(x))=9x^4+1 e. g(f(x))=9x^4+1 3) As a promotion for the Houston Astros, a competition is held to see who can throw a baseball the highest from the front row of the upper deck of seats, 74 ft above field level. The winner throws the ball with an initial vertical velocity of 86 ft/sec and it lands on the infield grass. a. Find the maximum height of the baseball. b. How much time was the ball in the air? c. Determine its vertical velocity when it hits the ground. 4) Thompson Recreation, Inc., wants to build a rectangular swimming pool with the top of the pool having surface area 1000 ft^2. The pool is required to have a walk of uniform width 2 ft surrounding it. Let x be the length of one side of the pool. a. Express the area of the plot of land needed for the pool surrounding sidewalk as a function of x. b. Find the dimensions of the plot of land that has the least area. What is the least area? Thanks in advance everybody!... Read More »
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