# 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 …

## 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 …

## 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 & …