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'Pico' means 10^-12. So 470

**pF**is 0.000000000470 farads, or 470 * 10^12 farads.1 Answers · Science & Mathematics · 18/05/2019

y^4 - 3y^2 - 270 = 0 y^2 = (3 +/- sqrt(9 + 1080)) / 2 y^2 = (3 +/- sqrt(1089)) / 2 y^2 = (3 +/- 33) / 2 y^2 > 0 y^2 = (3 + 33) / 2 y^2 = 36/2 y^2 = 18 y = +/- 3 * sqrt(2) y = 3 * sqrt(2) So, the height is equal to 3 * sqrt(2) (s/2)^2 + h^2 = s^2 (s/2)^2 + 18 = s^2 s^2 / 4 + 18 = s^2 18 = (3/4) * s^2 18 * (4/3) = s^2 24 = s^2 2 * sqrt(6) = s A...

2 Answers · Science & Mathematics · 10/02/2018

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**pf**=m&fir=Ibt2oyBOJplQzM%253A%252CQ0qtXB4UrtRf1M...1 Answers · Science & Mathematics · 09/02/2017

f=xy+z(x+y)

**pf**/px=y+z,**pf**/py=x+z The two partial derivatives can only be equal...2 Answers · Science & Mathematics · 26/03/2016

...connect H with the midpoint of BD, you can easily prove, that |DP| : |

**PF**| = 2 : 1. The midpoint of BD is on the following hexagonal...3 Answers · Science & Mathematics · 04/10/2014

Let's compute the total derivative (or Jacobian or whatever you want to call it) of f, Df at an arbitrary point. To be explicit: we have F(x,y,z) = (f(x,y,z), g(x,y,z), f(x,y,z) + g(x,y,z)) for all (x,y,z) in R^3. Letting h_j denote the partial derivative of a function h with respect to...

1 Answers · Science & Mathematics · 04/11/2013

Since the object is moving at a constant speed of 2m/s, there is zero net external force. Additional 1N is applied. 1 = ma = 2a ==> a=1/2 Vf = Vi +at = 2 + (1/2)*3 = 7/2 m/s

1 Answers · Science & Mathematics · 25/10/2013

Hint: show that k(-x) = h(x). Then it follows that k is the reflection of h in the y-axis. If we were looking at odd degree polynomial functions with the same structure, you would find that k(-x) = -h(x), and that k is the reflection of h in the origin (or h...

4 Answers · Science & Mathematics · 25/09/2013

Let the quantity of 50% acid solution mixed be x L THEN , the quantity of 30% acid solution mixed WILL BE ( 150- x) L 0.50x + 0.30 ( 150 -x ) = 0.42 *150 0.50x + 45 - 0.30x = 63 0.20x = 18 x = 90 ANSWER 90L of 50% AND...

3 Answers · Science & Mathematics · 17/09/2013

Part b) At least one GREEN = 1 - P(all RED) P(all red) = 6*5*4 / (10 *9 * 8) = 30/90 * 1/2 = 1/6 P(at least one green) = 1 - 1/6 = 5/6 Note: P(at least one RED) = 1 - P(all green) = 1 - 1/30 = 29/30 M3's other answers...

3 Answers · Science & Mathematics · 16/07/2013