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1. Allow s and t to be logical expressions. Use the principle of duality and Laws of Logic in order to prove that s ⇒ t if and only if t^d ⇒ s^d.
2. Show that if p1 ∧ p2 ∧ p3 ⇐⇒ p1 ∧ p2 ∧ p3 ∧ r then it also means that (p1 ∧ p2 ∧ p3) ⇒ r.
Determine an equation for the right bisector of the line segment with endpoints P(-5,-2) and Q(3,6)
for the woman. They decide to take out a life insurance policy that will pay $10,000 if either one dies during the next 5 years and $15,000 if both die during that time. How much should they be willing to pay for this policy? (Assume that their li..
Coffee is draining - Application of calculus
A plane flying horizontally at an altitude of 6 mi and a speed of 490 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 8 mi away from the station.
the base of a solid is an ellipse whose major axis and minor axis are 12 and 8cm long, respectively. what is the volume of the solid if every section perpendicular to the major axis is an is an equilateral triangle.
What is the probability, Pn where n = 1, 2, 3, that a little cube (one of the 64) picked at random will have n painted faces?
the length and width of the base of a rectangular prism are 5.5cm & 3 cm .. the height of the prism is 6.75cm. find the exact value of the surface of the area of the prism in square centimeters.
If you fill half of a container whose capacity is t liters and then take 2 liters out, how full is the container?
A person who weighs 180 pounds on Earth weighs 30 pounds on the Moon. What is the weight of a person on the Moon who weighs 240 pounds on Earth?
Linear systems using the Reduced Row Echelon technique, as demonstrated in class. If there is no solution, explain why not.
a baseball is hit 3 feet above home plate. It will reach its highest point of 83 feet 125 feet from home plate.
how many seconds after the rock is thrown will it reach maximum height, and what is that height in meters? how many seconds after the rock is thrown will it reach the ground?
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