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3 years ago

Find the derivative of f(x)=7 by the limit process

1 answer:

6 0

$f'(x)=\displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h$

If $f(x)=7$ , then

$f'(x)=\displaystyle\lim_{h\to0}\frac{7-7}h=0$

which is what you expect from a constant function.

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How do I find domain and range from a graph/equation?

likoan [24]

domain represents the x values so for example in a diagonal line that continues infinitely, the domain is all real numbers or (-infinity, infinity)

range represents y values so it would also be all real numbers or (-infinity, infinity)

let’s say there is a line (refer to pic) that moves ONLY from point (-3, -1) and (2, 2)

the domain would be [-3, 2]

we use brackets because it’s a real number unlike infinity (also because it’s a closed circle on the graph; if the graph had an open circle you would use a parenthesis)

and the range would be [-1, 2]

if you have any more questions about this explanation feel free to ask!

3 0

3 years ago

I need help with this please, could you explain so I can understand better please

MA_775_DIABLO [31]

Answer:

<3 and <6 is Alternate interior angles.

<4 and <5 is Alternate interior angles.

<2 and <7 is Alternate exterior angles.

<3 and <7 is Corresponding angles.

Hope this helps. :)

8 0

3 years ago

If x = a sin α, cos β, y = b sin α.sin β and z = c cos α then (x²/a²) + (y²/b²) + (z²/c²) = ?

Oduvanchick [21]

$\large\underline{\sf{Solution-}}$

<u>Given:</u>

$\rm \longmapsto x = a \sin \alpha \cos \beta$

$\rm \longmapsto y = b \sin \alpha \sin \beta$

$\rm \longmapsto z = c\cos \alpha$

Therefore:

$\rm \longmapsto \dfrac{x}{a} = \sin \alpha \cos \beta$

$\rm \longmapsto \dfrac{y}{b} = \sin \alpha \sin \beta$

$\rm \longmapsto \dfrac{z}{c} = \cos \alpha$

Now:

$\rm = \dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} }$

$\rm = { \sin}^{2} \alpha \cos^{2} \beta + { \sin}^{2} \alpha \sin^{2} \beta + { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha (\cos^{2} \beta + \sin^{2} \beta )+ { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha \cdot1+ { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha + { \cos}^{2} \alpha$

$\rm = 1$

<u>Therefore:</u>

$\rm \longmapsto\dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } = 1$

5 0

3 years ago

Suppose you toss a coin 100 times and get 60 heads and 40 tails. Based on these results what is the probability that the next fl

Nata [24]

The probability is 1/2. Even if you flip heads 100 times in a row, you still have a 50/50 chance of flipping heads or tails. The probability does not change no matter how many times you flip a certain side.

I hope this helps!

8 0

3 years ago

Read 2 more answers

What is 2.75 rounded to the nearest hundredth

almond37 [142]

Well first off we need to know how to round or what rounding is. Rounding is the approximation of numbers usually decimals to a approximate cut off number for numbers that are too long or hard to work with/remember. To round a number you simply need to look at the number behind that number whether its a whole number (integer) or a decimal, either one will work. Now continuing on (on) how to round the number, look at the number after it and if it is 5 or above the number rounds up +1 and all numbers behind that turn to 0. For example 3.25500 round to the nearest hundredth, 3.26(000). Now if the number is 4 or smaller then you don't do anything at all (no rounding) and all the numbers after the being rounded number turn to 0's like so, 3.254(0000) rounded to the nearest hundredth, 3.25(00000). So now that we know how to round and what rounding is we need to look at are hundredth place on are number here and see what the next number is after that, in this case it is 0 because there is no stated number there the default next number is 0 like so,
2.750 and because 0 is under 5 we don't do any rounding at all here and just leave it as it is. So 2.75 rounded to the nearest hundredth is 2.75

Enjoy!=)

4 0

3 years ago