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3 years ago

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Mathematics

1 answer:

vazorg [7]3 years ago

3 0

Answer:what is this

Step-by-step explanation:

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Find the absolute maximum and minimum values of the following function on the given interval. If there are multiple points in a

Bond [772]

$f(x)=3\sin x+3\cos x\implies f'(x)=3\cos x-3\sin x$

$f$ has critical points where $f'=0$ :

$3\cos x-3\sin x=0\implies\cos x=\sin x\implies\tan x=1\implies x=\pm\dfrac\pi4+2n\pi$

where $n$ is any integer. We get solutions in the interval $\left[0,\frac\pi3\right]$ for $n=0$ , for which $x=\frac\pi4$ .

At this critical point, we have $f\left(\frac\pi4\right)=3\sqrt2\approx4.243$ .

At the endpoints of the given interval, we have $f(0)=3$ and $f\left(\frac\pi3\right)=\frac{3+3\sqrt3}2\approx4.098$ .

So we have the extreme values

$\max\limits_{x\in\left[0,\frac\pi3\right]}f=3\sqrt2$

$\min\limits_{x\in\left[0,\frac\pi3\right]}f=3$

8 0

3 years ago

The sum of a number times 9 and 16 is at least -26.

NARA [144]

Answer:

Step-by-step explanation:

let x be the number.

9x+16≥-26

9x≥-26-16

9x≥-42

3x≥-14

x≥-14/3

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2 years ago

PLEASSSSSEEEEE HELP ME THIS IS DUE PRETTY SOON I REALLY NEED THE FULL EXPLANATION.

user100 [1]

Answer:

a-14.4 MPG, B-15 MPG c Mr. Walters

Step-by-step explanation:

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3 years ago

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Which is more valuable $20000 received now or $5000 per year for 4 years?

zheka24 [161]

Getting the money now lets you use it now, and if you invest wisely, get more profit. Waiting four years to get it all is an interest free loan.

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3 years ago

Help!

hram777 [196]

The expression before the flower bed was increased is the x. to solve how much it was increased, you must factor the given quadratic equation:

<span>x^2 + 11x + 24 = 24
( x + 3 ) ( x + 8 ) = 24
( x + 3 ) ( x + 5 + 3) = 24
</span>the sides of the rectangular flower bead was increase by 2 ft each

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3 years ago