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. f( x ) = 8x² + 2x ( a ) f( x ) = 8x² + 2x f( x + h ) = 8( x + h )² + 2( x + h ) = 8x² + 16xh + 8h² + 2x + 2h = 8x² + 2x + 16xh + 8h² + 2h slope = [ f( x + h ) - f( x ) ] / h = [ ( 8x² + 2x + 16xh + 8h² + 2h ) - ( 8x² + 2x ) ] / h = ( 16xh...

1 Answers · Science & Mathematics · 03/09/2019

Octants are stone age. Just say x<0? Before starting, you make the argument that the entire region is symmetric about xz plane and the integrand is an odd function of y, so you can just remove the +y part. The integral on the part of the region where y>0...

2 Answers · Science & Mathematics · 05/05/2019

Hint: a/ vertex at (h,k) p = -4 (y-k)^2 = 4p(x-h) b/ P(x,y) on the parabola, PH=distance to the directrix , F = focus point PH =

**PF**1 Answers · Science & Mathematics · 22/09/2018

...(x,y) to F'(-c,0) is √[ (x+c)² + y² ]

**PF**= √[ (x-c)² + y² ] = √[ x² - 2xc + c² + b²...2 Answers · Science & Mathematics · 09/01/2018

...with named endpoints: PT is the tangent segment, and

**PF**is the entire secant segment, with PN the "external" part of the...1 Answers · Science & Mathematics · 03/12/2017

... PQ is a focal chord, then PQ has the same slope as

**PF**(or QF) Slope PQ: ∆y/∆x = ¾ Slope...2 Answers · Science & Mathematics · 03/04/2018

OB = OD (radius) OC =

**PF**(radius) BC = DF (given) => △OBC = △ODF2 Answers · Science & Mathematics · 16/08/2017

... the locus of all points equidistant from the focus and the directrix.

**PF**= PD √[(x - 1)² + (y - 3)²] = |y - 2| (x - 1)² + (y...1 Answers · Science & Mathematics · 24/06/2017

... distances from the foci is equal to this constant:

**PF**+ PG Use the distance formula.1 Answers · Science & Mathematics · 25/04/2017

The cost function (price per kg of the fish) in the market can be written as: P(r,t) = Pe - (1 - r/R)*[Pe - Pc(t)] where Pc(t) is the time-dependent price at the center of the market. Pc(t) = Pc0 + k*t where k = $290/(kg*hr) and 0 <...

2 Answers · Science & Mathematics · 22/02/2017