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Marianna [84]
3 years ago
5

Solve the system: x' = (2 4 -1 6)x

Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0

Answer:

x=e^{8t}+c

Step-by-step explanation:

we have given x'=(24-16)x=8x

x' denotes the differenation

\frac{dx}{dt}=8x  differentiation is performed with respect to t

by variable separable method we can write  

\frac{dx}{x}=8dt

on integrating both side

lnx=8t+c

x=e^{8t}+c (property of log )

so the solution for x will be x=e^{8t}+c

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If (20, 14) is an ordered pair of the inverse of F(x), which of the following is an
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PLEASE HELP WITH FINDING AREA
AnnyKZ [126]

When you have an irregular figure, you can divide it so that it becomes multiple normal figures. You already did this in the picture, now you just have to find the area of each shape and then add them all together.

From bottom to top:

A=1/2 (b1+b2)h

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A= 6.24

(you have two of these on either side)

A=bh

A=6(4)

A=24

A=1/2 bh

A= 1/2 (4)(4)

A=8

(NOTE: there is an error in your drawing. The height of the triangle cant be determined because the 10 value spans over the entire figure when the wings of the rocket are 4 units long and then the body is 6 units long, making it equal 10 already. I'm assuming that the 10 is supposed to go from the bottom of the rectangle to the top of the triangle)

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