Density of gold is 19.3 g/cm3. Density (by the definition) is mass per unit of volume: D = m/V (D - density, m - mass, V - volume) If...

## Answers by Grigori S.

Lim (x/(x2 +8x)) =lim (1/(x+8)) = 1/8 when x approaches zero. In this example all terms can be canceled x→0 by x.

I am sorry, Son, do not have enough time to work on the problem right now. Just one advise: take derivatives of all functions and lim for x →∝. If they are equal - they have the same rate.

The model of an atom supported by J.J.Thomson after discovering electrons in 1897. Also known as plum-pudding model of an atom as a system of positively charged particles with embedded electrons which have negative electric charge (thus, the atom remains electrically neutral). Was replaced by...

Your expesiion is not clear. What do these three ional additequality signs mean in one expression? What signs did you missed?

Use chain rule F'(x) = dF(x)/dx = (dF(x)/dx2)(dx2/dx) = 2x (dF(x)/dx2) (1) When you differentiate the integral with variable upper limit it gives you the function being integrated. Thus...

Kenneth is right, the answer is y = 1(1-x) Here is the solution. If g is an inverse function to f, then we have f(g) =x meaning that f and g are symmetric with respect to y=x line. Thus, we have f(g) = 2- (g+1)/g=(g-1)/g...

Factor the expression: x2 +x - 30 = (x+6)(x-5) = 0 (because 6 and -5 are factors of -30 that make 6x - 5x = x - second term) The product of two terms is zero if both are equal...

Divide numerator of the second fraction by numerator of the first one. Repeat the same for denominators. If the ratio remains the same then your fractions are proportions. Check it now. 30/5 = 42/7 = 6 - yes, they are proportions.

Let's put it this way. The repeated part can be written as 7/100 + 7/1000 + ........ = (7/100)[1+ (1/10) +(1/102) + (1/103)......] What we have in square brakets is a sum of geometric...

It depends on what is given to you in the problem and what s to be found. You need to specify your question. In generally, you can use the formula for angles of regular polygons to find the number of sides, the length of a side and perimeter, you can find the radius and area of a circle in which...

The substitution mthod is better to be applied if one of variables in one of equations has a coefficient equal 1, such as x + by = c or mx +y = d In...

The function 3/x2 is symmetric with respect to chnange in sign: x by - x. This means the integral 1 1 ...

Energy E can also be defined as a product of potential difference V (voltage) and the amount of electricity Q, ...

To balance an equation can be understood like "to solve the equation" meaning to find the value of a variable which is being substituted into the equation balances both sides (makes them equal). Is it what you want?

Your solutions are x1 = (-5 +√(33))/2 and x2 = (-5-√(33))/2

Use d"Alembert's ratio criteria according to which lim abs(an+1/an) < 1 where an = (x-1)n/n n→∞ By applying the criteria we will obtain lim abs ((x-1)...

It should be 1,2,4,8,16 because first term is 20 = 1.

Use the conversion formula from Fahrenheit to Celsius: C0 = (5/9)(F0 - 32) If F0 = 59 then C0 = 15.

This is not a monotonic smooth function. If f(x)=I6xI, then you have to distinguish two domains: x< 0 when f(x) =- 6x, and x > 0 when f(x) = 6x. Thus, f'(x) = -6 for x<0 and...