In Problems 59-64, use the Intermediate Value Theorem to determine which of the functions must have zeros in the given interval. Indicate
those for which the theorem gives no information. Do not attempt to
locate the zeros.
59. f(x)=x - 3x on (-2, 2)
60. f(x)=x+- 1 on (-2, 2]
61. f(x)= - I on [10,20] [10, 20]
(x + 1)2
62. f(x)=r? - 2r? -r+2 on [3, 4]

Which fraction below is equivalent to 10/12?

The fraction of defective integrated circuits produced in a photolithography process is being studied. a random sample of 300 circuits is tested, revealing 17 defectives. (a) calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool. round the answers to 4 decimal places. less-than-or-equal-to p less-than-or-equal-to (b) calculate a 95% upper confidence bound on the fraction of defective circuits. round the answer to 4 decimal places. p less-than-or-equal-to

Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle and label its height and width. y= 5x, y=7x^2then find the area s of the region.