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3 years ago

7 less than k is no less than 70.

Mathematics

1 answer:

77julia77 [94]3 years ago

4 0

Answer:

k-7 $\geq$ 70

Step-by-step explanation: it says no less than 70 implying it could be 70 or above. Greater than or equal to seventy is the correct answer.

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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

In following diagram BC is parallel to DE

gizmo_the_mogwai [7]

Answer:can someone answer my question

Step-by-step explanation:

4 0

3 years ago

Solve for x. What is the solution to the system of equations? ( , )

labwork [276]

(3,-2) hope this helps Yall

5 0

2 years ago

Kaylen earned $14.87 selling cookies and $7.76 selling

____ [38]

Answer: $12.63

Step-by-step explanation:

$14.87 + $7.76 = $22.63

2pizzas x $5 = $10

$22.63 - $10 = $12.63

3 0

2 years ago

If f(x) = 4x - 12, what is f(2)? O A. -4 O'B. 4 O c. -20 D. 8 Helpppp plzzz

photoshop1234 [79]

Answer:

-4

Step-by-step explanation:

f(x) = 4x - 12

Let x=2

f(2) = 4*2 - 12

= 8-12

= -4

8 0

3 years ago