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3 years ago

May someone please help me with this?

Mathematics

1 answer:

vitfil [10]3 years ago

5 0

I’m pretty positive it’s 90 degrees. hope this helps!

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Simplify the expression <br> 2x (x - 6)

Ulleksa [173]

I’m pretty sure it’s 2x^2 - 12x

7 0

3 years ago

what are the x-coordinates for the maximum points in the function f(x) = 4 cos(2x- pi) from x = 0 to x= 2 pi?

julsineya [31]

Answer:

$\frac{\pi }{2}$ and $\frac{3\pi }{2}$

Step-by-step explanation:

To find the max points we need to take the derivative of the function and then find the critical values.

First we take the derivative:

$f(x) = 4cos(2x-\pi )\\f'(x)=-4sin(2x-\pi )(2)\\f'(x)=-8sin(2x-\pi )\\$

Now we need to find when f'(x)=0 to find the critical values.

$0=-8sin(2x-\pi )\\0=sin(2x-\pi )\\sin^{-1}0=2x-\pi \\0=2x-\pi \\\pi =2x\\\frac{\pi }{2} =x$

The critical values will be

$\frac{\pi }{2} n$ for any integer n

between 0 and 2 pi, the critical values will be

$0, \frac{\pi }{2} ,\pi ,\frac{3\pi }{2},2\pi$

We can determine if these are minimums or maximums by using the second derivative test.

So we need to take the second derivative;

$f'(x)=-8sin(2x-\pi )\\f''(x) = -8cos(2x-\pi )(2)\\f''(x)=-16cos(2x-\pi)$

We need to see if the second derivative is positive or negative to determine if it is a max or min.

$f''(0) = 16\\f''(\frac{\pi}{2})=-16\\f''(\pi )=16\\f''(\frac{2\pi}{3}) = -16\\$

Since the second derivative is negative at

$\frac{\pi }{2}$ and $\frac{3\pi }{2}$

we know both of those are the x-values of maximums.

5 0

4 years ago

Find average rate of change f(x)=-4x^(2)-3x-4 ; [-1,3]

NeTakaya

The rate of change of the given function at [-1,3] is 5

Further explanation:

Given function is:

$f(x) = 4x^2-3x-4$

And the interval is:

[-1,3]

In order to find the rate of chnage of function the given function's value is calculated at both points and divided by their difference

The formula is:

$Rate\ of\ change= \frac{f(x_2)-f(x_1)}{x_2-x_1}$

Here,

x_1 = -1

x_2 = 3

So,

$f(-1) = 4(-1)^2-3(-1)-4\\=4(1) +3-4\\=4-1\\=3\\f(3) = 4(3)^2-3(3)-4\\= 4(9)-9-4\\=36-13\\=23$

Putting the values in the rate of change formula:

$Rate\ of\ change= \frac{23-3}{3-(-1)}\\= \frac{23-3}{3+1}\\=\frac{20}{4} \\=5$

The rate of change of the given function at [-1,3] is 5

Keywords: Rate of change, functions

Learn more about functions:

#LearnwithBrainly

5 0

3 years ago

The number of dollars Julia earns by working n hours can be represented by f (n) = 9n. Graph this function and state the domain

Daniel [21]

Okay so f(n) is the range and n is the domain. The graph should be inclined up crossing (0,0). The domin is (0, infinity) because is she woulds 0 hours then Julia will get paid $0 so it starts at 0 and goes to inifinity.

3 0

3 years ago

Janet uses 2 1/2 cups of strawberries to make 4 cups of strawberry jam. How many cups of strawberries are required to make 10 cu

Anit [1.1K]

Answer:

25 cups

Step-by-step explanation:

Cause I’m right lol

7 0

3 years ago