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3 years ago

Find angle C pls, thanks!

Mathematics

2 answers:

Novay_Z [31]3 years ago

8 0

The value of angle c would be the same as the value of angle f

navik [9.2K]3 years ago

4 0

Angle C = Angle F as Angle F is the reflection of Angle C

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Help a person out plsplsplspls

Serggg [28]

youre answer is b

point slope formula is y-y1=m(x-x1)

m=slope

x1= coordinate x

y1= coordinate y

7 0

4 years ago

Use calculus to find the absolute maximum and minimum values of the function. (round all answers to three decimal places.) f(x)

Allisa [31]

Part A:

Given the function $f(x)=x+2\cos(x)$ , the absolute maximum or minimum occurs when $f'(x)=0$ .

$f'(x)=0 \\ \\ \Rightarrow1-2\sin{x}=0 \\ \\ \Rightarrow2\sin{x}=1 \\ \\ \Rightarrow\sin{x}= \frac{1}{2} \\ \\ \Rightarrow x=\sin^{-1}{\frac{1}{2}}= \frac{\pi}{6}$

Using the second derivative test,

$f''(x)=-2cosx \\ \\ \Rightarrow f''\left( \frac{\pi}{6} \right)=-2\cos{\left( \frac{\pi}{6} \right)}=-1.732$

Since the second derivative gives a negative number, the given function has a maximum point at $x=\frac{\pi}{6}$ .

And the maximum point is given by:

$f\left( \frac{\pi}{6} \right)=\frac{\pi}{6}+2\cos\left( \frac{\pi}{6} \right) \\ \\ =0.5236+2(0.8660)=0.5236+1.732 \\ \\ =\bold{2.256}$

i.e. $\left(\frac{\pi}{6},\ 2.256\right)$

Part B:

Given the function $f(x)=e^{-x}-e^{-2x}$ , the absolute maximum or minimum occurs when $f'(x)=0$ .

$f'(x)=0 \\ \\ \Rightarrow-e^{-x}+2e^{-2x}=0 \\ \\ \Rightarrow2e^{-2x}=e^{-x} \\ \\ \Rightarrow2e^{-x}=1 \\ \\ \Rightarrow e^{-x}=\frac{1}{2} \\ \\ \Rightarrow-x=\ln \frac{1}{2}=-0.6931 \\ \\ \Rightarrow x=0.6931$

Using the second derivative test,

$f''(x)=e^{-x}-4e^{-2x} \\ \\ \Rightarrow f''(0.6931)=e^{-0.6931}-4e^{-2(0.6931)} \\ \\ =0.5-4e^{-1.386}=0.5-4(0.25)=0.5-1 \\ \\ =-0.5$

Since the second derivative gives a negative number, the given function has a maximum point at $x=0.6931$ .

And the maximum point is given by:

$f(0.6931)=e^{-0.6931}-e^{-2(0.6931)} \\ \\ =0.5-e^{-1.386}=0.5-0.25=\bold{0.25}$

i.e. (0.693, 0.25)

3 0

3 years ago

Plz help meee asap helppp

KengaRu [80]

Answer:

d=45h

Step-by-step explanation:

If we look at the chart, it shows that 1 hour is equal to 45 miles. Then, 2 hours is equal to 90 miles and so on. This means that for every hour the distance is 45 miles. Therefore, the distance=45 miles times the number of hours. This is equivalent to d=45h The number 45 is equal to the number of miles and the "h" is equal to the amount of hours. I hope I didnt confuse you in the process of writing this and have a good day!

7 0

3 years ago

In a geometric sequence where r> 1, the terms always increase. True or false?

Blizzard [7]

Answer:

the answer you are looking for is true

5 0

3 years ago

Read 2 more answers

If you roll one die two times, what is the probability of getting a 2 on the first roll and a 2 on the second roll? Show work or

koban [17]

Answer: $\dfrac{1}{36}$