Give a geometric interpretation of newton’s method.
(c) suppose newton’s method is used to solve the equation
0 = x(cos(x) - 1).
(c1) what is the value of p1 using an initial guess of p0 = 0.1?
(c2) why do we expect newton’s method to give less than quadratic con-
vergence in this example?
(c3) give a modified algorithm that would give quadratic convergence.

Use the frequency distribution, which shows the number of american voters (in millions) according to age, to find the probability that a voter chosen at random is in the 18 to 20 years old age range. ages frequency 18 to 20 5.9 21 to 24 7.7 25 to 34 20.4 35 to 44 25.1 45 to 64 54.4 65 and over 27.7 the probability that a voter chosen at random is in the 18 to 20 years old age range is nothing. (round to three decimal places as needed.)

Awater holding tank measures 105 m long, 50 m wide, and 8 m deep. traces of mercury have been found in the tank, with a concen- tration of 60 mg/l. what is the total mass of mercury in the tank? answer in units of kg.

Aregular pan has a length that is 4/3 the width. the total area of the pan is 432in.2. what is the width of the cake pan?