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3 years ago

Is the square number of 32 a whole number?

Mathematics

2 answers:

Aneli [31]3 years ago

4 0

No it’s not the square root of 32 is 5.65685424949

sweet-ann [11.9K]3 years ago

4 0

No it’s a repeating decimal

Hope this helps

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Use f’( x ) = lim With h ---> 0 [f( x + h ) - f ( x )]/h to find the derivative at x for the given function. 5-x²

beks73 [17]

<h2>Answer:</h2>

The derivative of the function f(x) is:

$f'(x)=-2x$

<h2>Step-by-step explanation:</h2>

We are given a function f(x) as:

$f(x)=5-x^2$

We have:

$f(x+h)=5-(x+h)^2\\\\i.e.\\\\f(x+h)=5-(x^2+h^2+2xh)$

( Since,

$(a+b)^2=a^2+b^2+2ab$ )

Hence, we get:

$f(x+h)=5-x^2-h^2-2xh$

Also, by using the definition of f'(x) i.e.

$f'(x)= \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}$

Hence, on putting the value in the formula:

$f'(x)= \lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-(5-x^2)}{h}\\\\\\f'(x)=\lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-5+x^2}{h}\\\\i.e.\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2-2xh}{h}\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2}{h}+\dfrac{-2xh}{h}\\\\f'(x)=\lim_{h \to 0} -h-2x\\\\i.e.\ on\ putting\ the\ limit\ we\ obtain:\\\\f'(x)=-2x$

Hence, the derivative of the function f(x) is:

$f'(x)=-2x$

3 0

3 years ago

Read 2 more answers

What set of transformations is performed on triangle ABC to form triangle A′B′C′?

Simora [160]

Answer: A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin .

Step-by-step explanation:

From the given figure, the coordinates of ΔABC are A(-3,4), B(-3,1), C(-2,1) and the coordinates of ΔA'B'C' are A'(3,1), B'(3,4), C'(2,4).

When, a translation of 5 units down is applied to ΔABC, the coordinates of the image will be

Then applying 180° counterclockwise rotation about the origin, the coordinates of the image will be :-

which are the coordinates of ΔA'B'C'.

Hence, the set of transformations is performed on triangle ABC to form triangle A’B’C’ is " A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin ".

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3 years ago

Norman weighed his loaded trucks of apples at a weigh station. It weighed 15 tons 100 lbs. his empty truck weighed 3 tons 200 lb

mojhsa [17]

The answer would be 11 tons 1,900 lbs :D

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2 years ago

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At the city museum, child admission is $5.30 and adult admission is $9.60. On Thursday, 117 tickets were sold for a total sales

ExtremeBDS [4]

The answer is 160 children’s tickets were sold that day

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3 years ago

Can anyone help ? I need to answer it for my homework today

Rus_ich [418]

Robot 1- W = 20(3m) W= 60Nm
Robot 2- W= 30N (3m), W = 90Nm
Robot 3- W= 10N(2m), W= 20Nm
Robot 4- W= 30N(2m), W= 60Nm

Robot 2 did the most work, Robot 3 did the least amount of work and Robots, 1 and 4 did an equal amount of work

5 0

3 years ago

Is the square number of 32 a whole number?​

Is the square number of 32 a whole number?