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3 years ago

15

The height of a giant sequoia tree is proportional to its age. Use the graph to determine how long it takes for a giant sequoia

tree to reach a height of 100 feet.
YOU WILL GET BRAINLIST

:)

1 answer:

Kitty [74]3 years ago

6 0

Answer:

Hi- It takes about 50 years. Just write the 50 not the sentence lol

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3 years ago

A rectangle's area is given by the expression 6n2-n+

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Answer:

Length of rectangle: 2n - (1/3) + 9/(3n)

Width of rectangle = 3n

Rectangle area = A = 6 n^2 - n + 9

Step-by-step explanation:

Rectangle area = A = 6 n^2 - n + 9

test what the roots are: b^2 - 4ac = (-1)^2 - 4*6*9 < 0 no real roots

-215 < 0 discriminant

(6 n^2 - n + 9) / (3n) =

2n - (1/3) + 9/(3n)

If the area is divided by 3n, the quotient is 2n - (1/3) and the remainder is 9

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3 years ago

Primitive function for:<br><br> 1. f(x)=4e2x+e−x, sådan att F(0)=2

Free_Kalibri [48]

The primitive function for $f(x) = 4e^{2x} + e^{-x}$ is given by it's indefinite integral.

To calculate it, recall:

$\frac{d}{dx}e^{ax}=ae^{ax}$

$\int c f(x)dx = c\int f(x)dx$

Let's begin

$\int 4e^{2x}+e^{-x}dx \\4\int e^{2x}dx+ \int e^{-x}dx\\4\frac{e^{2x}}{2}+\frac{e^{-x}}{-1} + c\\$

$F(x) = 2e^{2x}-e^{-x} +c$

To find the costant, we just need to use the fact that $F(0)=2$

$F(0) = 2 \\4e^{0}+e^{0} + c =2\\5+c =2\\c=-3$

Therefore,

$\boxed{F(x) = 2e^{2x} - e^{-x} -3 }$

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