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- choose the correct FOL expression for Every student who loves her teacher will also loves the course she teaches. Vx,y,z student(x)/teacher (y,×) Loves(x,y)= course(z) / teach(y,z) ^ Loves (X, 2) Vx student(x)(3y teacher (y,×)/Loves(x,y) / 3z course(z) ^ teach(y,z) ^ Loves (X,2) Vx,y,z student(x) teacher (y,×)/Loves(x,y) ^ course(2) A Loves (x,2) All of the aboveissignment Portion - hand in your wo nce completed "4.2 (Geometry: gneat circle distance) The great circle distance is the distance between two points on the surface of a sphere. Let(x1,y1)and(x2,y2)be the geographical latitude and longitude of two points. The great circle distance between the two points can be computed using the following formula: \[ d=\operatorname{radius} \times \arccos \left(\sin \left(x_{1}\right) \times \sin \left(x_{2}\right)+\cos \left(x_{1}\right) \times \cos \left(x_{2}\right) \times \cos \left(y_{1}-y_{2}\right)\right) \] Write a program that prompts the user to enter the latitude and longitode of two points on the earth in degrees and displays its great circle distance. The average radius of the earth is6,371.01 km. Note you need to convert the degrees into radians using the Math, toRadi ans method since the Java trigonometric methods use radians. The latitude and longitude degrees in the formula are for north and west. Use negative to indicate south and…Consider the following statement#define hypotenuse (a, b) sqrt (a*a + b*b);The macro-call hypotenuse (a + 2, b + 3); A. finds hypotenuse of triangle with sides a + 2 and b+3 B. finds square root of (a + 2)2 + (b + 3)2 C. is meaningless D. finds square root of 3*a + 4*b + 5
- Find the value of ceil( floor(0.6) + ceil(0.4) )a. If A is true and B is false, what truth value would you assign to A ^ B?b. If A is false and B is true, what truth value would you assign to A ^ B?c. If A and B are both false, what truth value would you assign to A ^ B?True or False If the value of y is 3.14, calling Math.floor(y) will return 3 and calling Math.ceil(y) will return 4.
- Evaluate the following expressions if x is 10.5, y is 7.2, m is 5, and n is 2. x / (double)m = x / m = (double)(n * m) = (double)(n / m) + y = (double)(n / m) =Evaluate the following expressions. 3.9 / 4 - 6 >= 8 - 6.2 * 1.5Complete the truth table for the following compound statement. ∼(∼p∨q) OPTIONS EITHER T OR F COMPLETE QUESTION MARKS p q ∼p ∼(∼p∨q) T T ? ? T F ? ? F T ? ? F F ? ?
- In case the value of D5 is 70 than the logical test result of IF(D5>69,"C",IF(D5>59,"D","F")) will be Select one: a.None of these b.C c.D d.FYEx: Item 1Enter the item name:Chocolate ChipsEnter the item price:3Enter the item quantity:1 Item 2Enter the item name:Bottled WaterEnter the item price:1Enter the item quantity:10 Add the costs of the two items together and output the total cost. Ex: TOTAL COSTChocolate Chips 1 @ $3 = $3Bottled Water 10 @ $1 = $10 Total: $13Write the statement in words if:p: Firemen work hard.q: Firemen wear red suspenders. 1) ~q 2) p ⋀ q 3) ~p → q
