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Answers by Muhammad C.

y = cos(cot x) (answer)

y = cos (cot x)   y' = -sin (cot x) * -csc2 x = csc2 x * sin (cot x)   When you have a trigonometric function, you must take a derivative of the function first & then multiply it by the derivative of the angle.

Sin θ = -12/13 Cos θ = 5/13 Tan θ = -12/5   Sin 2θ = 2*sin θ * cos θ = 2(-12/13)(5/13) = -120/169 Cos 2θ = 2*cos2 θ - 1 = 2(5/13)2 - 1 = -119/169 Tan 2θ = (sin 2θ)/(cos 2θ) = 120/119

All triangles have three angles that must add up to 180 degrees. It is impossible to have 2 right angles in a triangle because then the measure of the third angle would be 0 (which means there isn't an angle). Two of the angles cannot be obtuse angles because the combined angle measure would over...

1) 1 Kilometer = 1000 meters     1 meter = 100 centimeters       1 kilometer = 100,000 centimeters     1 centimeter = 1/100000 kilometer = 1 * 10-5 kilometer     1 cubic centimeter = (1 * 10-5 kilometer)3 = 1 * 10-15 cubic kilometer  ...

Chem question (answer)

Al(NO3)3 + 3KOH -------> 3KNO3 + Al(OH)3   50 ml * .2 moles/ liter = .01 Moles of Al(NO3)3   200 ml * .1 moles/liter = .02 Moles of KOH    Since the ratio between the two reactants according to the chemical equation is 1:3, we would...

E = E0(1.019)t where E represents earth's present population, E0 is the original population of Earth & t represents time   E(40) = 6(1.019)40 = 6 * 2.12308 = 12.739 billion 

√x + 8 = 2xy2    y2 = 1/(2√x) + 4/x   y = √(1/(2√x) + 4/x)   Differentiate via power rule & product rule   1/(2√x) = 2y2 + 4xy*dy/dx   1/(2√x) - 2y2 = 4xy*dy/dx   dy/dx = 1/(8x3/2y) - y/2x   dy/dx...