Plz help! Urgent!

Mathematics

1 answer:

kirza4 [7]3 years ago

5 0

Answer:

Both answers are C!!!

Step-by-step explanation:

Im so lucky, I guessed and got them both right on the usatestpreptest.

answer 1: petri dish A will have a density of 19.6

answer 2: Petri dish A by 3.3 bacteria/mm

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Determine an equation of the tangent line to y = e - 2x at the point (0,1).

Darya [45]

Answer:

$y=-2x+1$

this is the equation of the tangent line to the curve at the point (0,1)

Step-by-step explanation:

$y = e^{-2x}$

to find the tangent line we need to find the curve's derivative. using $\dfrac{d}{dx}e^{ax} = ae^{ax}$ , we'll find dy/dx.

$\dfrac{dy}{dx} = -2e^{-2x}$

^ this is the equation of the slope of the curve. By finding the slope of the curve at (0,1) we'll also be finding the slope of the tangent to the curve at (0,1).

at (0,1) x = 0. we'll use that in dy/dx

$\dfrac{dy}{dx} = -2e^{-2(0)}$