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ddd [48]
2 years ago
15

In a triangle ABC, which is the longest side if:

Mathematics
1 answer:
Gelneren [198K]2 years ago
7 0

Answer:

a) BC is the longest side

b) AB is the longest side

✌️

You might be interested in
Does there exist a di↵erentiable function g : [0, 1] R such that g'(x) = f(x) for all x 2 [0, 1]? Justify your answer
agasfer [191]

Answer:

No; Because g'(0) ≠ g'(1), i.e. 0≠2, then this function is not differentiable for g:[0,1]→R

Step-by-step explanation:

Assuming:  the function is f(x)=x^{2} in [0,1]

And rewriting it for the sake of clarity:

Does there exist a differentiable function g : [0, 1] →R such that g'(x) = f(x) for all g(x)=x² ∈ [0, 1]? Justify your answer

1) A function is considered to be differentiable if, and only if  both derivatives (right and left ones) do exist and have the same value. In this case, for the Domain [0,1]:

g'(0)=g'(1)

2) Examining it, the Domain for this set is smaller than the Real Set, since it is [0,1]

The limit to the left

g(x)=x^{2}\\g'(x)=2x\\ g'(0)=2(0) \Rightarrow g'(0)=0

g(x)=x^{2}\\g'(x)=2x\\ g'(1)=2(1) \Rightarrow g'(1)=2

g'(x)=f(x) then g'(0)=f(0) and g'(1)=f(1)

3) Since g'(0) ≠ g'(1), i.e. 0≠2, then this function is not differentiable for g:[0,1]→R

Because this is the same as to calculate the limit from the left and right side, of g(x).

f'(c)=\lim_{x\rightarrow c}\left [\frac{f(b)-f(a)}{b-a} \right ]\\\\g'(0)=\lim_{x\rightarrow 0}\left [\frac{g(b)-g(a)}{b-a} \right ]\\\\g'(1)=\lim_{x\rightarrow 1}\left [\frac{g(b)-g(a)}{b-a} \right ]

This is what the Bilateral Theorem says:

\lim_{x\rightarrow c^{-}}f(x)=L\Leftrightarrow \lim_{x\rightarrow c^{+}}f(x)=L\:and\:\lim_{x\rightarrow c^{-}}f(x)=L

4 0
3 years ago
The radii of earth and Pluto are 6,371 kilometers and 1,161 kilometers, respectively. Approximately how many spheres the size of
SCORPION-xisa [38]
Earth volume: (3/4).π.(6371)³ = 1,0832x10¹² km³

Pluto volume: (3/4).π.(1171)³ = 6,555,189,765 km³

How many spheres the size of Pluto does it take to have the same volume as earth?

volume Earth/ volume Pluto = 1,0832x10¹² / 6,555,189,765 = 165.25
3 0
3 years ago
Read 2 more answers
Write 28,703 in expanded form
nekit [7.7K]
That would be twenty-eight thousand, seven hundred and three.
Hope that helped :)
6 0
3 years ago
Read 2 more answers
Hi guys, can anyone help me with this? Many thanks:)
natka813 [3]

Step-by-step explanation:

<h2>y = √—16x²+8x—2√8x+1+2</h2>
3 0
3 years ago
NEED HELP ASAP!!! PLEASE
Lubov Fominskaja [6]

Answer:

1144cm²

Approx. 1100cm²

Step-by-step explanation:

Area of rectangle=

L×B

34×20 = 680cm²

Area of semi-circle=

πr²

3.14 × (10)² = 314cm²

Area of triangle=

½b×h

b = 49 - 34 = 15

<u>2</u><u>0</u><u> </u><u>×</u><u> </u><u>1</u><u>5</u> = 150cm²

2

Area of shape =

680 + 314 + 150 = 1144cm²

approx. 1100cm²

Please mark my answer as brainliest <3

6 0
3 years ago
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