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3 years ago

Find the sum of -1676 + (-1669) + (-1662) +...+(-115) + (-108).

Mathematics

1 answer:

Mandarinka [93]3 years ago

4 0

Answer:

-5230

Step-by-step explanation:

add them all up with all the symbols remember to use formulas and strategies

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Find the x-coordinates where f ' (x)=0 for f(x)=2x+sin(4x) in the interval [0, pi]

MAVERICK [17]

Answer:

The x-coordinate is \dfrac{\pi}{6}[/tex].

Step-by-step explanation:

We are given a function f(x) as:

$f(x)=2x+\sin (4x)$

Now on differentiating both side with respect to x we get that:

$f'(x)=2+4 \cos (4x)$

When $f'(x)=0$

this means that $2+4\cos (4x)=0\\\\4\cos (4x)=-2\\\\\cos(4x)=\dfrac{-1}{2}$

Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval $[0,\pi]$ .

also we know that $\cos (\dfrac{2\pi}{3})=\dfrac{-1}{2}$ ----(1) (which lie in the second quadrant)

so on comparing our equation with equation (1) we obtain:

$4x=\dfrac{2\pi}{3}\\\\x=\dfrac{\pi}{6}$

Hence, the x-coordinates where $f'(x)=0$ for $f(x)=2x+\sin(4x)$ is $\dfrac{\pi}{6}$ .

5 0

3 years ago

An equation is shown below:

Ad libitum [116K]

Answer:

solution given:

4(2x − 5) = 4

2x-5=4/4

2x=1+5

x=6

Step-by-step explanation:

Part A:One

Part B:x=6

3 0

2 years ago

What is the slope of a line perpendicular to the line whose equation is y = 2x + 5?

anastassius [24]

B = -1/2
I hope that helps

8 0

2 years ago

Read 2 more answers

water weighs about 8.34 pounds per gallon. About how many ounces per gallon is the weight of the water?

notka56 [123]

Use a conversion factor and turn pounds to ounces. 1 pound = 16 ounces so
$\frac{8.34pounds}{gallon} \times \frac{16 ounces}{ 1 pound} =133.44 \frac{ounces}{gallon}$

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3 years ago

What is another way you can express 12 tenths

Bas_tet [7]

12/10, 1.2, and any of the infinite multiples of the fraction such as 24/20, 120/100 etc...

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3 years ago