a) A box that weighs 8.20kg was slid down a platform at an inclination of 45.0o to the horizontal (see figure below). The kinetic friction coefficient is 0.26. The box has a rope connected to it which is coiled around a disc that weighs 9.46kg and is on a fixed axis at O. The disc has a moment of inertia of 0.500kg.m2 with respect to the rotational axis. i) The moment of inertia of the disc is given by ? = 1 2 ?? 2 . Calculate the radius R. ii) Draw a diagram showing the forces acting on the box and the disc. iii) Calculate the acceleration of the box down the platform. iv) What is the tension of the rope?

The point ?(√6 cos ? , √3 sin ?) is on an ellipse.

a) Write down the equation of this ellipse in Cartesian form and find its foci.

b) A hyperbola has the same foci as this ellipse and one of the branches cuts the ?-axis at 1. What is the equation of the hyperbola?

The State Police are trying to crack down on speeding on a particular portion of the Massachusetts Turnpike. To aid in this pursuit, they have purchased a new radar gun that promises greater consistency and reliability. Specifically, the gun advertises ± one-mile-per-hour accuracy 93% of the time; that is, there is a 0.93 probability that the gun will detect a speeder, if the driver is actually speeding. Assume there is a 1% chance that the gun erroneously detects a speeder even when the driver is below the speed limit. Suppose that 90% of the drivers drive below the speed limit on this stretch of the Massachusetts Turnpike. a. What is the probability that the gun detects speeding and the driver was speeding? (Round your answer to 4 decimal places.) b. What is the probability that the gun detects speeding and the driver was not speeding? (Round your answer to 4 decimal places.) c. Suppose the police stop a driver because the gun detects speeding. What is the probability that the driver was actually driving below the speed limit?

what is the difference between top down and bottom up processing?

Can a 6,000 watt step down transformer power a house?

QUESTION 12

1. What stops or slows down an unprepared cell?

(a) In C++, write down the main method including a for loop. The body of the for loop includes the followings :

i. an if condition

ii. an array (of any type & of any size)

iii. a structure variable (with at least two variables of any type)

(b) Show the corresponding code contents in memory for the main method and draw the stack contents while the main method starts execution and reaches at the line prior to return from your main method of Problem 3(a).

(c) Create a symbol table structure (dynamic scoping) at the line before returning from your main method of Problem 3(a).