Other Math

3. (a) Suppose x = and y = ln 2.3. Use 4-digit rounding to compute 4.C + COS Y (b) Suppose e is the machine epsilon in 6-digit mantissa chopping on a computer based on decimal numbers. Find e and use it to compute the value of + using 6-digit chopping.

EXPERT ANSWER answers: (a) given x = 1 /3 and y =ln(2.3) y = ln(2.3) = 0.8329 now, simplify given problem 4x + cosy 4x + cosy = 4(1/3) + cos( 0.8329) = 1.3333 + 0.9999 = 2.3332 Therefore, 4x + cosy = 2.3332   (b) consider given problem simplify the given problem we get, given,  is the machine …

3. (a) Suppose x = and y = ln 2.3. Use 4-digit rounding to compute 4.C + COS Y (b) Suppose e is the machine epsilon in 6-digit mantissa chopping on a computer based on decimal numbers. Find e and use it to compute the value of + using 6-digit chopping. Read More »

This question involves two parts. 1. Translate the argument provided in this prompt into formal logic and then use the truth-tree decision procedure (relying on Proof Tools or pencil/pen and paper) to determine whether the argument is deductively valid or invalid (entailment / non-entailment). 2. If the argument is invalid (a case of non-entailment), determine an assignment of truth values (interpretation) to the propositional letters that would show the argument to be invalid (non-entailment). Use the following key: J =”John invests in Reebox”, M =”Mary invests in Reebox”, R =”Reebox stock will rise”, S =”Sketchers stock will rise.” Here is the argument: If John invests in Reebox and Mary invests in Reebox, then Reebox stock will rise. If Reebox will rise, then Sketchers stock will also rise. Reebox stock will not rise. Therefore, Sketchers stock will not rise. Second, if the argument is invalid (not valid), determine an assignment of truth values (valuation) to the English sentences that would show the argument to be invalid (note: not all sentences need to be assigned truth values to show the argument is invalid).

This question involves two parts. 1. Translate the argument provided in this prompt into formal logic and then use the truth-tree decision procedure (relying on Proof Tools or pencil/pen and paper) to determine whether the argument is deductively valid or invalid (entailment / non-entailment). 2. If the argument is invalid (a case of non-entailment), determine …

This question involves two parts. 1. Translate the argument provided in this prompt into formal logic and then use the truth-tree decision procedure (relying on Proof Tools or pencil/pen and paper) to determine whether the argument is deductively valid or invalid (entailment / non-entailment). 2. If the argument is invalid (a case of non-entailment), determine an assignment of truth values (interpretation) to the propositional letters that would show the argument to be invalid (non-entailment). Use the following key: J =”John invests in Reebox”, M =”Mary invests in Reebox”, R =”Reebox stock will rise”, S =”Sketchers stock will rise.” Here is the argument: If John invests in Reebox and Mary invests in Reebox, then Reebox stock will rise. If Reebox will rise, then Sketchers stock will also rise. Reebox stock will not rise. Therefore, Sketchers stock will not rise. Second, if the argument is invalid (not valid), determine an assignment of truth values (valuation) to the English sentences that would show the argument to be invalid (note: not all sentences need to be assigned truth values to show the argument is invalid). Read More »

Consider the following function: f(x) = 10 (e-68-7* +e-9,568-37)”), 05 15 15 (a) (5 pts) Is f concave or convex or neither? Please justify your answer other than by looking at a picture. (b) (10 pts) What is the maximum and maximizer for f on this domain? (c) (10 pts) Let g(t) = sin(x) + 2 sin(2x) and we want the to impose the constraint g(x) > 0 what is the feasible region? (d) (10 pts) Find the solution to max f(t) subject to g(x) > 0. Report the maximum and maximizer.

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Q.4.A) Test if the points A (1, 2) and B (5,-2) are lying inside, outside, or on the circle (x2 + y2 – 3Y = 4)

EXPERT ANSWER The General form for a Circle with centre (a, b) & Radiuus ‘ r ‘ will be giiven as (X-a)2 + (Y-b)2 = r2 . for checking the condition of points (x1, y2 ) whether it lies on circle , inside circle or out side the circle for this we will find the distance between the point & …

Q.4.A) Test if the points A (1, 2) and B (5,-2) are lying inside, outside, or on the circle (x2 + y2 – 3Y = 4) Read More »

the most expensive rates (in dolars per minute) for a 2-minute telephone call usinga long-distance carrier are listed in the table. Long-Distance Telephone Rates Rate, ρ (dollars per minute) 1984 1.23 1985 45 1986 1987 0.81 1908 0.76 0.67 190 0.63 1995 2000 0.21 (a) Find the function for the quadratic model that gives the most expensive rates in olars per minute for a 2-minute telaphone call using a long-distance carrier, where x is the number of years since 1980, with data from 2 sxs 20. (Round all numerical values to three decimal places.) l)-.003r 11.692x+11704.10 dolars per minute (b) Calculate the average of the most expensive rates from 1962 through 2000. (Round your answer to three decimal places) per minute (c) Caloulate the average rate of change of the most expensive rates from 1982 through 2000. (Round your answer to three decimal places.)

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