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3 years ago

Need help asap!! close to running out of time to turn this in!

Mathematics

1 answer:

poizon [28]3 years ago

7 0

You’re answer could be either the first or last one

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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

A standard dartboard has a diameter of 18 in. What is its area to the nearest square inch?

Reptile [31]

The meaning of the area is the measurement of a surface in this case a circle, which can be find by using the formula $A= \pi r^{2}$ , where r is equal to the radius of the circle.

In this exercise is given that the diameter of a standard cardboard is 18 inches or a radius of 9 inches and it is asked to find its area. Therefore, to find the area of the circle you should substitute the value of the radius into the previous mention formula.

$A= \pi r^{2}$
$A= \pi (9 in)^{2}$
$A= \pi (81 in^{2})$
$A=254.47 in^{2}$

The area of the standard dartboard is 254.47 square inches or 254 square inches.

8 0

3 years ago

Which expression is equivalent to -0.6(1.2x + 4.5) - 3(2.8x - 4)?

Citrus2011 [14]

A. -9.2x + 9.3

1. Distribute -0.6 and -3 to the brackets (by multiplying )
2. Put together the "like terms"
3. Add all together

8 0

3 years ago

What are some ways we can tell that 7x + 2 is not equivalent to 9x?

vlabodo [156]

Answer:

To determine if two fractions are equivalent, cross multiply. To cross multiply, you multiple the numerator of the first fraction by the denominator of the second. Then you multiply the denominator of the first fraction by the numerator of the second. If the two numbers are equal, the fractions are equivalent

Step-by-step explanation:

5 0

3 years ago

Plez help with math!!

ruslelena [56]

I don’t know I really don’t know, I am very confused ahhhhhhh!

8 0

3 years ago