5714

Physics Ray Optics Level: Misc Level

Your weed -cutter requires, as fuel, a gas -to oil mixture of 20-to-1(20 parts of gas mixed with one part of oil). You have 1/3 of a gallon of gas. How much oil, in gallons, should you add to make it all into fuel for the weed- cutter?

a. 1/3

b. 1/30

c. 3

d. 1/60



5712

Physics Gravitation Level: Misc Level

The plane Jupiter requires 4330 days to orbit in an almost circular trajectory around the sun, which has a mass 1,00 x 1030 kg.

a. Calculate the radius of the orbit of the Jupiter as it circles the sun. Answer needs to be in meters. My answer was 3.58x1012

b. Calculate the orbital speed of Jupiter as it circles the sun.Answer needs to be in km/s My answer was 6.09 km/s



5710

Physics Gravitation Level: Misc Level

When a falling meteor is at a distance above Earth,s surface of 4 times the Earth,s radius, what is its acceleration due to the Earth's garvity? (g=9.8 m/s2).Rounding the answer to 3 significant figures. My answer was .393 m/s2



5709

Mathematics Integration Level: Misc Level

Prove that the curves xy - 4 and x2 + y2 - 8 touch each other.



5708

Mathematics Integration Level: Misc Level

Prove that the curves y = x2 - 3x + 1 and x(y + 3) - 4 intersect at right angles at the poin (2, -1).



5707

Mathematics Integration Level: Misc Level

Find the equations of the tangents to the curve y = x3 + 2x - 4 which are perpendicular to theline x + 14y + 3 = 0.



5706

Mathematics Integration Level: Misc Level

Find the equations of all lines having slope 2 and that are tangents to the curve y=\frac{1}{x-3}.



5705

Mathematics Integration Level: Misc Level

Find the equations of the tangent to the curve x = Sin 3t, y = Cos 2t at t=\frac{\pi}{4}.



5704

Mathematics Integration Level: Misc Level

Find the equations of the tangent and the normal to the curve x^{\frac{2}{3}}+y^{\frac{2}{3}}=2  at (1,1).



5703

Mathematics Integration Level: Misc Level

Find the equations of the tangent and the normal to the curve y = x4 - 6x3+13x2 - 10x + 5 at (1,3).



5702

Mathematics Integration Level: Misc Level

Find the points on the curve \frac{x^{2}}{4}-\frac{y^{2}}{25}=1 at which the tangents are.

(a)  parallel to x-axis

(b)  parallel to y-axis



5701

Mathematics Integration Level: Misc Level

Determine the point of the curve y=3x2-5 at which the tangent is perpendicular to the line whose slope is -1/3.



5700

Mathematics Integration Level: Misc Level

If the tangent to the curve y=x3++ax+b at (1,-6) is parallel to the line 2x-2y+7=0, find a anb b.



5699

Mathematics Integration Level: Misc Level

Show that the tangents to the curve y=7x^{3}+11 at the points where x=2 and x=-2 are parallel.



5698

Mathematics Integration Level: Misc Level

Find the slopes of the tangents at the three points where the curve y=x(x^{2}-3x-4) cuts the x-axis.

Displaying 1216-1230 of 6371 results.

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