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How do you differentiate #f(x)=(x^33x)(2x^2+3x+5)# using the product rule?

Find the point on the sphere x2 + y2 * z2 :4 which is farthest
from the point (1, 1, 1),?

Question #588e9

Question #199e6

Question #f6450

Question #74da7

How do you differentiate #g(z)=(z^2+1)/(x^35)# using the quotient rule?

Question #36e9f

What spacecrafts have visited the edges of our solar system?

Find a quadratic model for the set of values: (2, 20), (0, 4), (4, 20)? Show your work.

Does anyone else think Socratic is just a way for some people to get their work done by someone else?

What does the mass of a black hole need to be in order for its mass divided by its volume to be equal to the density of water (1g/#cm^3#)?

How do you simplify #\frac { x ^ { 2}  x  72} { x ^ { 2} + 13x + 40} \div \frac { x ^ { 2} + 5x + 6} { x ^ { 2} + 7x + 10}#?

Question #b0e7d

How do you solve #1/2 + 2/x = 1/x#?

How is cool, neutral hydrogen gas, H I, detected in the spiral arms of galaxies?

Question #98749

Why can astronomers conclude that star formation is occurring in regions like Orion Nebula?

How do you simplify #(5.6498times10^10)/(8.2times10^4)#?

How do you implicitly differentiate #2= e^(xy^3x)y^2x^3+y #?

Being that planets don't have their own propulsion systems, where does the energy come from to produce Milankovitch cycles?

A 3.0 kg mass moving to the right at 1.4 m/s collides in a perfectly inelastic collision with a 2.0 kg mass initially at rest. What will the velocity of the combined mass be after the collision?

Cups A and B are cone shaped and have heights of #25 cm# and #27 cm# and openings with radii of #12 cm# and #6 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?

How do you simplify #(x1)/(sqrt x  x)#?

Show that the diagonals of a trapezoid divide it into four triangles of which two have the same area? "equiextension"

Why are accretion disks flat?

How are strong nuclear force and weak nuclear force alike?

What stage comes after the birth of a star?

How do you solve #log_2 x + log_4 x + log_8 x + log_16 x = 25#?

How does weak force cause beta decay?

A triangle has sides A, B, and C. If the angle between sides A and B is #(3pi)/8#, the angle between sides B and C is #(pi)/2#, and the length of B is 12, what is the area of the triangle?

If the sun and stars are supported by gas pressure, what supports a neutron star?

Question #335b3

How do you find the determinant of #((4, 10, 3, 2), (2, 1, 4, 5), (1, 1, 2, 2), (2, 14, 1, 2))#?

Why do convection currents occur within the earth?

How is the Hubble Telescope different from other telescopes orbiting the earth?

What is the electromagnetic spectrum? How is it used in astronomy?

How can a red giant become brighter?

How do you find the derivative of #cos(12x)^2#?

How did Ptolemy's model account for retrograde motion?

What is #f(x) = int e^(x+2)6x dx# if #f(2) = 3 #?

How much work would it take to push a # 2 kg # weight up a # 6 m # plane that is at an incline of # pi / 3 #?

What are convection currents and what causes them?

What is the difference in area between a circle with a diameter of 3 meters and a square with a side length of 3 meters?

A quasar consumes 1 solar mass of material per year, converting 15 percent of it directly into energy. What is the quasar's luminosity, in solar units?

How do you integrate #int 3/((x2)(x+1))# using partial fractions?

What is the vertex form of #x= 10y^231y+15 #?

How do you simplify #(8  3i) + (6 + 2i)#?

How do you simplify #5 sqrt8 times sqrt18#?

What will happen to the convection currents in the mantle if the Earth's interior eventually cools down?

How do you solve #2+ cos(2x)=3 cos (x)# over the interval 0 to 2pi?

What is #int cos^6x dx#?

How is carbon14 is produced in the upper atmosphere?

What kind of object would best be identified by a periodic Doppler shift in a star’s spectrum along with a dip in the star’s light intensity?

What is the difference between nuclear force and electrostatic force?

What path does light take through a refracting telescope?

How close to the sun would a spacecraft have to go to reach the distance at which the flux of solar energy is 20 times as large as the solar energy flux at the earth?

How do you solve the rational equation #x^2/(x3)  5/(x3) = 0#?

Why does the earth spin?

Question #b7ecc

How is Hubble's Constant used?

A projectile is shot from the ground at an angle of #(5 pi)/12 # and a speed of #3 m/s#. Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?

Question #506c8

What is the name of the cloud that contains many comets outside of the solar system?

How do you simplify each expression using positive exponents #(x^2y^4x^3)^2 #?

Do stars have hydrogen and helium or hydrogen alone on its birth?

What were the Apollo Missions?

How do you write the partial fraction decomposition of the rational expression #(5x  1) / ((x  2)(x + 1))#?

Does wavelength of light change in different mediums?

How do neutrons help with the electromagnetic forces in the nucleus?

If the earth rotates around the sun at the speed of 108,000 km an hour, why does the air in earth's atmosphere not disperse and become lost to the vast vacuum that is space?

Do white dwarfs give off light? If so, how are they fueling such light, and do they ever run out of light? If not, how do we find them in the night sky?

What is Algol Paradox and its resolution?

Light from the sun reaches Earth in 8.3 min. The velocity of light is 3.00 108 m/s. Given this info, how would you determine how far the Earth is from the sun?

If you are in the southern hemisphere where would you see Polaris?

What mechanism does an isolated white dwarf use to generate energy?

What formed the Crab Nebula?

How do you find (g o f)(x) given #f(x)= x/(x2)#, #g(x)=3/x#?

A stellar object is emitting radiation at 1670 nm. If the detector is capturing 9 * 10^7 photons per second at this wavelength, what is the total energy of the photons detected in one hour?

How do astronomers use telescopes to take pictures of stars and planets? Can this be done at home on a smaller scale?

What is the difference between a optical telescope and radio telescope?

How was it determined that a parsec is 3.26 light years?

How do supernovae work?

Why does the HR diagram look different for star clusters of different ages?

What is the cross product of #[4,3,2]# and #[3,1,5] #?

How do you solve #log (x + 8) = 1 + log (x  10)#?

The supergiant star Betelgeuse has a measured angular diameter of 0.044 arcsecond. Its distance has been measured to be 427 lightyears. What is the actual diameter of Betelgeuse?

How do you convert (5, 0) into polar coordinates?

How do you differentiate # f(x)=sqrt(ln(xe^x))# using the chain rule.?

When will our star explode in a supernova?

How can I make the degree sign ? I can't find it on the signs>_<

Why is strong force important?

Is Hubble's Law used to work out the recession speed of galaxies and stars?

How do you simplify #cot4thetacos2theta# to trigonometric functions of a unit #theta#?

How does heat work in the refrigeration cycle?

What is the arc length of #f(x)=2x1# on #x in [0,3]#?

Why is a cepheid variable star referred to as a standard candle?

How can they tell the size of universe without knowing where the center of big bang was?

Question #55222

How do you implicitly differentiate #1=xy+x+yy^2+x^2#?

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