Con su referencia al estadista estadounidense Alexander Hamilton, Martí expresa la idea de que_________.

• Hamilton no tenía creencias democráticas

• la democracia no funciona en todos los países

• las leyes de un país determinado pueden no funcionar en otro

• en los Estados Unidos, nadie acata las leyes

A lobster trap has a spherical buoy floating above it attached by a rope which is shorter than the depth of the water. The buoy is stationary and it has a diameter of 22 cm and a mass of 1.2 kg. Water has a density of 1 g/cm^3. What is the buoyant force on the buoy when it is completely submerged?

Identify Alexander Solzhenitsyn, Tito, Imre Nagy, Alexander Dubcek.

The water in a 40-L tank is to be heated from $15^\circ C$ to $45^\circ C$ by a 6-cm-diameter spherical heater whose surface temperature is maintained at $85^\circ C.$ Determine how long the heater should be kept on.

Who was Alexander the Great's father?

How was Alexander the Great's father killed?

Who was Alexander Nevsky?

Convert to spherical coordinates and evaluate:

$$\int _ { 0 } ^ { 1 } \int _ { 0 } ^ { \sqrt { 1 - x ^ { 2 } } } \int _ { 0 } ^ { \sqrt { 1 - x ^ { 2 } - y ^ { 2 } } } \frac { 1 } { 1 + x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } d z d y d x$$

Determine whether the following statement is true and give an explanation or counterexample. The spherical equation $\varphi=\pi / 2$, the cylindrical equation $z=0$, and the rectangular equation $z=0$ all describe the same set of points.

Use cylindrical or spherical coordinates to evaluate the integral.

$$\int _ { 0 } ^ { a } \int _ { 0 } ^ { \sqrt { a ^ { 2 } - x ^ { 2 } } } \int _ { 0 } ^ { a ^ { 2 } - x ^ { 2 } - y ^ { 2 } } x ^ { 2 } d z d y d x \quad ( a > 0 )$$

Why are Phobos and Deimos nonspherical? Why is Earth's Moon much more spherical?

In the given exercise, describe the given set in spherical coordinates.

$$x^2+y^2+z^2 \leq 100$$

Use spherical coordinates.
Evaluate $\iiint_B\left(x^2+y^2+z^2\right) d V$, where $B$ is the unit ball $x^2+y^2+z^2 \leqslant 1$

Cornerstone Bakery sold $78$ pies on Monday, $96$ pies on Tuesday, $40$ pies on Wednesday, $104$ pies on Thursday, and $77$ pies on Friday. On average, how many pies did they sell per day?

$A.$ $79;$

$B.$ $58;$

$C.$ $84;$

$D.$ $44.$