Quantum Physics
Alice and Bob share a state a| + +> + b |- -> , where the first qubit is Alice's and the second qubit is Bob's. Alice measures her qubit in the standard basis and sends the measurement outcome to Bob. If Bob wants his qubit to end up in the state a |0> + b |1&...
Calculus
Evaluate [double intergal (R xy dA)] , where R is the region bounded by x^2 +y^2 <=16 , x>=0 and y>=0
Integrals
Evaluate è R xy dA , where R is the region bounded by x^2 +y^2 <=16 , x>=0 and y>=0
Geometry
ABC is a triangle with area equal to 20 . The incircle of triangle ABC has radius equal to 2 and the circumcircle of triangle ABC has radius equal to 6 . If sinA+sinB+sinC=a/b , where a and b are coprime positive integers, what is the value of a+b ?
Geometry
ƒ¡ is a circle with center O . A and B are points on ƒ¡ such that the sector AOB has perimeter 40 . What is the measure of ÚAOB (in radians) when the area of the sector AOB is maximized
Trigonometry
Let è be the angle between the x-axis and the line connecting the origin O(0,0) and the point P(−3,−4) , where 180<è<270. Given that sinè+cosè+tanè=−a/b, where a and b are coprime positive integers. What is the value o...
MEchanics M-1 (Velovity time graphs)
A dragonfly, at rest on a bullrush, decides to fly to a second bullrush 18 m away. It accelerates uniformly to a speed of. 5 m s-1, then immediately decelerates uniformly to rest on the second bulrish. Howlong the journey took?
Physics
We use a wrench to turn nuts on bolts because they require less force. Consider a hexagonal nut 1 cm in diameter. We can tighten this nut with one of two wrenches, wrench A with lever arm 10 cm and wrench B with lever arm 20 cm. Both wrenches have a very small mass, so you may...
Trigonometry
Let S be the sum of all the possible values of sin x that satisfy the following equation: 5-2cos^2(x)-7sin(x) = 0 S can be written as a/b, where a and b are coprime positive integers. What is the value of a + b?
Calculus
The location of a dot P at a given time t in the x-y plane is given by (x,y) = (t - sin t, 1 - cos t). What is the distance traveled by P in the interval 0 <= t <= 2pi
Pages: <<Prev | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | Next>>
For Further Reading
