less than 10-4 by a. the Trapezoidal Rule. b. Simpson's Rule.
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- Let for a two-category one-dimensional problem with (a) Show that the minimum probability of error is given by Where (b) Use the inequality to show that Pe goes to zero as goes to infinity.Use simpsons rule with n=8 to estimate erf(1). What is the approximation for erf(1)?Give the largest interval over wich the sokjtiob is define Fine the general solution
- Given the chart, how do you give an estimate (with the max possible number of subdivisions) for the total distance Musk traveled during her 3-second trip using the left endpoint of each interval, and how do you find whether it's an over or understimation?From the definition of the intergal, we have lim n->infinity 2/n sigmma n k=1 (2+(4k/n)^3)=Given n=50 o=1.2 and a=0.1 the maximum error is approximately
- From ungrouped dat above draw box and whisker and from an examinetion of tge fence find outlier extreme values and intepretfor a series of dependent trials the probablity of success on any traip is (k+1)/(k+2) where k is equal to the number of success on the previous two trials compute lim n->infinity PA wire of length 9 is cut into two pieces which are then bent into the shape of a circle of radius r and a square of side s. Then the total area enclosed by the circle and square is the following function of s and r. ________________ If we solve for s in terms of r, we can reexpress this area as the following function of r alone: ______________________Thus we find that to obtain maximal area we should let r= ______________________To obtain minimal area we should let r= _________________________
- A wire of length 7 is cut into two pieces which are then bent into the shape of a circle of radius r and a square of side s. a) Then the total area enclosed by the circle and square is the following function of s and rb) If we solve for s in terms of r, we can reexpress this area as the following function of r alone: c) Thus we find that to obtain maximal area we should let r=d) To obtain minimal area we should let r=A piece of wire of length 63 is cut, and the resulting tow pieces are formed to make a circle and a square. Where should the wire be cut to (a) minimize and (b) maximize the combined area of the circle and the square? (a) Let x be the amount of wire used for the circle. What is the function A, the combined ara of the circle and square in terms of x? A= ______ (type an expression, type the exact number using pi as needed) To minimize the combined area, the wire should be cut so that a length of ____ is used for the circle and a length of ____ is used for the square. (round to nearest thousandth) (b) To maximize the combined area, the wire should be cut so that a length of ____ is used for the circle and a length of ____ is used for the square. (round to nearest thousandth)1)The number of iterations necessary to achieve an accuracy using bisection method on the interval [0,2] is: Select one: a. 5 b. 6 c. 7 d. 8 2)If the length of an interval equals 1 what is the minimum number of iteration necessary to achieve an absolute error less than or equal 0.001 in the bisection method? Select one: a. 10 b. 9 c. 7 d. 8