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= 6of8 = 10f8 B Using Newton's Method to sofve 3z cos(x) = 0, with an initial approximation of a = 5, the value of 2, The function = Ce* 10 Solves the differential equation y" Ty = 6y 60. (to 4 decimal places is: O -0.3332 true O O -03168 Q) false () -0.6948 O 11304 = 20f8 B = 7ol8 Consider the ditferential equation r:lnz'", = 1 with initial condition (e, 1). First solve this to find (=), and If the local Linear approximation of f() = 4sin + atx = 1 is used to find the approximation for then use it to answer this question: What is w(e")? F(1.1), then the % error of this approximation is O O Between 0% and 8% O1 ) Between 16% and 24% Oe O Greater than 24% 2 o () Between B% and 16% = 30f8 = After 45 days, a radioactive substance has decayed in 55.1% of its original amount. After an additional 45 days, what percent of its original amount will it have decayed to? O 30.4% = BofB B O 27.6% O 24.7% Using the Simpson's Rule with a step size of 1, an approximation for the integral j", 2*dr =~ 30852, O 55.1% O true () false = 40f8 . Lozl & o what is the slope at (0,2)? For the differential equation: 3 = 250, Qo O O4 Q2 = 50f8 H A certain wolf population, p(t), is governed by the differential equation: % =0.1p(1 p), where p is the population (in thousands), and is the time in years. If the current size of the population is 0.4 (i.e. p(0) = 0.4 )..use Euler's Method with At = 0.5 to predict the wolf population 2 years from now. O 436 O 449 O 412 O 424