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3 years ago

How does f(x) = 3 ^x change over the interval x = 4 to x= 5

Mathematics

1 answer:

zloy xaker [14]3 years ago

6 0

Answer:

f(x) = 3^x increases steadily on the interval [4,5].

Step-by-step explanation:

This exponential function f(x) = 3^x has a positive base (3) which is larger than 1. Thus, this function continues to increase as x increases, including the case where x increases from 4 to 5.

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Calculate a vector c in the same direction of the vector a and that has the same length as the vector b

Viktor [21]

For any scalar $t>0$ , $t\vec a$ is a vector pointing in the same direction as $a$ .

To force this vector to have the same length as another vector $\vec b$ , first normalize $t\vec a$ by dividing it by its norm,

$\dfrac{t\vec a}{\|t\vec a\|}=\dfrac{t\vec a}{t\|\vec a\|}=\dfrac{\vec a}{\|\vec a\|}$

then multiply this vector by the norm of $\vec b$ , so that

$\vec c=\dfrac{\|\vec b\|}{\|\vec a\|}\vec a$

To confirm that $\vec c$ has the same length as $\vec b$ :

$\|\vec c\|=\left\|\dfrac{\|\vec b\|}{\|\vec a\|}\vec a\right\|=\dfrac{\|\vec b\|}{\|\vec a\|}\|\vec a\|=\|\vec b\|$

8 0

3 years ago

If a rectangular prism has a length width and height of 3/8 cm 5/8 cm and 7/8 cm then the volume of the prism is ........ cubic

pychu [463]

Answer:

105/512

Step-by-step explanation:

To find the volume of a rectangular prism, you do length x width x height. The length is 3/8, the width is 5/8, and the height.

3 0

3 years ago

PLEASE HELP ME!! Simplify by multiplying the LCD

Umnica [9.8K]

Answer:

x+1/x-1 +1 / x+1/x-1 -1= x

3 0

3 years ago

Which one is not equal

densk [106]

Answer:

Step-by-step explanation:

hope this helps i took the test

4 0

3 years ago

Find the surface area of the figure. ft

Lapatulllka [165]

Answer:

486

Step-by-step explanation:

Hello!

To find the surface area of a cube we use the equation

$S = 6a^{2}$

S is the surface area

a is the side length

Put what we know into the equation

$S = 6*9^{2}$

Solve

S = 6 * 81

S = 486

Hope this Helps!

3 0

3 years ago

Read 2 more answers