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2 years ago

Please help me solve this.

Mathematics

2 answers:

Vladimir [108]2 years ago

6 0

Answer:

Step-by-step explanation:

i dont know man sorry

masha68 [24]2 years ago

3 0

Answer:

u + v

=2-i + -4+ 5i

=2-4+5i-1i

= -2+4i

u- v

=2- 1i - -4 + 5i

=2+4 +5i-1i

=6+4i

u × v

=2- 1i × -4 + 5i

= -8 +4i +10i -5i

= -8 + 14i - 5i

= -8 + 9i

u ÷ v

= 2- 1i ÷ -4 +5i

= -2+2.5i - 4i - 5

= -2-5 + 2.5i - 4i

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Answer:

Question 1: $dm/dt=0.2m$

Question 2: $m=Ae^{(0.2t)}$

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Explanation:

Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m

a) By definition: $m'=dm/dt$

b) Given: $rate=0.2m$

c) By substitution: $dm/dt=0.2m$

Question 2: Find the general solution of this equation. Use A as a constant of integration.

a) Separate variables

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b) Integrate

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c) Antilogarithm

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Question 3. Which particular solution matches the additional information?

Use the measured rate of 4 grams per hour after 3 hours

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First, find the mass at t = 3 hours

$dm/dt=0.2m\\\\4=0.2m\\\\m=4/0.2\\\\m=20g$

Now substitute in the general solution of the differential equation, to find A:

$m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976$

Round A to 1 significant figure:

A = 10.

Particular solution:

$m=10e^{(0.2t)}$

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Substitute t = 0 in the equation of the particular solution:

$m=10e^{0}\\\\m=10g$

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