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2 years ago

Find the slope of a line that passes through points (-1,-5) and (6,9).

Mathematics

1 answer:

Trava [24]2 years ago

3 0

Answer: 14/7 = 7/1 = 7

Step-by-step explanation: there is the formula for it.

Y2 - Y1

X2 - X1

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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

What is the equation of the line?

gizmo_the_mogwai [7]

undefined

y=undefined

4 0

2 years ago

The Pythagorean Theorem and Irrational numbers

Natalka [10]

49=16+x^2
x^2= 33
x= square root of 33

3 0

3 years ago

The radius of a basketball is 4.7 inches.what the volume of the basketball? Round to the nearest 10

asambeis [7]

The formula for the volume of a sphere is $V= \frac{4}{3} \pi r^3$ . Plugging in 4.7 for your radius, we get $V= \frac{4}{3} \pi 4.7^2= \frac{4}{3} \pi 22.09= \frac{88.36}{3} \pi$ , which is roughly 29.453π≈92.530.

4 0

3 years ago

Read 2 more answers

A 4 pack of jump ropes costs $15.28. What is the unit price? per jump rope

babymother [125]

Answer:

Each jump rope will cost: $15.28 ÷ 4 = $3.82

3 0

3 years ago