MTH_133_KURTZ.mill1825.OPTIONAL-Exam1-ReviewProblems_6.1_to_7.6

MTH_133_KURTZ.mill1825.OPTIONAL-Exam1-ReviewProblems_6.1_to_7.6

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Nicholas Charles Miller MTH 133 KURTZ 133.007 WeBWorK assignment number OPTIONAL-Exam1-ReviewProblems 6.1 to 7.6 is due : 02/03/2010 at 11:59pm EST. For help on any of these problems, please consult the MTH 133 WeBWorK Forum or start a new thread with your questions. These are review problems suitable for study for the exam. These are meant to supplement your usual study for the exam (including review of all textbook and webwork problems, textbook reading assignments, any supplemental exercises, and classnotes) and need not be representative of all problems on the exam. To emulate an exam experience (somewhat), you will only be given 3 chances for every problem. So double-check your answers before hitting the ”Submit Answers” button. These problems will NOT be graded. As with all WeBWorK problems, you are usually always better off not giving decimal answers. Instead use fractions, pi, sqrt(2), etc. . For most problems when entering numerical answers, you can if you wish enter elementary expressions such as 2 3 instead of 8, sin ( 3 * π / 2 ) instead of -1, e ( ln ( 2 )) instead of 2, etc. Here’s the list of the functions which WeBWorK understands. 1. (1 pt) Textbook section 7.3: Problem number 47 Evaluate the following integral: Z ln36 ln16 e x 2 dx Answer: 2. (1 pt) Textbook section 7.4: Problem number 17 Find y 0 ( x ) if y ( x ) = ( cos x ) 4 e y 0 ( x ) = 3. (1 pt) Textbook section 6.1: Problem number 5 Consider a solid which lies between planes perpendicular to the x-axis at length x = - 5 and x = 5 . The cross-sections per- pendicular to the x-axis between these planes are squares whose bases run from the semicircle y = - 25 - x 2 to the semicircle y = 25 - x 2 . What is the area of the cross-section at x ? A ( x ) = What is the volume of the solid ? V = 4. (1 pt) Textbook section 7.2: Problem number 3 (a) Write a simpler expression for y = 6ln ( sin ( 2 t )) - ln ± sin 6 ( 2 t ) 10 ² which does not involve the variable t . y = (b) Write a simpler expression for z = ln ( 7 x 6 + 18 x 5 ) + ln ± 1 8 x 5 ² which does does not involve any powers on x which are bigger than 1. z
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This note was uploaded on 10/17/2011 for the course MATH 133 taught by Professor Wei during the Spring '07 term at Michigan State University.

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MTH_133_KURTZ.mill1825.OPTIONAL-Exam1-ReviewProblems_6.1_to_7.6

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