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stepan [7]
3 years ago
10

(√x+1/√x)^2find dy/ dx and substitute 2 in dy/ dx

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0
Hello,
That's better.

I suppose y=( \sqrt{x} + \dfrac{1}{ \sqrt{x} } )^2 \\

y'=2*( \sqrt{x} + \dfrac{1}{ \sqrt{x} } )*( \dfrac{1}{2 \sqrt{x} } - \dfrac{3}{2x \sqrt{x} } )

If x=2  then
y'=2*( \sqrt{2} + \dfrac{1}{ \sqrt{2} } )*( \dfrac{1}{2 \sqrt{2} } - \dfrac{3}{2*2* \sqrt{2} } )\\
=2* \dfrac{2+ \sqrt{2} }{ \sqrt{2} } * \dfrac{1}{4*\sqrt{2} } *(-1)\\
=- \dfrac{2+ \sqrt{2} }{4}

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V125BC [204]

Answer: B,C,E

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3 0
3 years ago
The price of a gallon of gasoline is 3.16 the price when Ryan’s mother started driving was 1/4 of the current price what was the
jenyasd209 [6]

"of" means multiply, "was/is" means equals

started driving price      was     1/4      of      current price

                    ?                  =          1/4      x        3.16

                    ?                  =          3.16/4

                    ?                  =           .89

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8 0
3 years ago
Amita wants to make a mold for a candle. She wants the shape of the candle to be a rectangular prism with a volume of exactly 28
forsale [732]
The volume of a rectangular prism is L * W * H.

We are looking for whole numbers that multiply to 28.

There are 10 possible molds.

L,  W,  H
-------------

28, 1, 1

1, 1, 28

14, 2, 1

1, 14, 2

1, 2, 14

7, 4, 1

4, 1, 7

7, 1, 4

7, 2, 2

2, 2, 7



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3 years ago
(x+5)(x-5) factoring
Maru [420]

Answer: x² - 25

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Which of the following graphs shows a pair of lines that represents the equations with the solution (3, −6)? (1 point)
GREYUIT [131]

Given:

The solution of two equation is (3,-6).

To find:

The graphs that shows a pair of lines that represents the equations with the solution (3, −6).

Solution:

In first graph, both line intersect each other at point (-6,3). So, the solution of the pair of lines is (-6,3).

In second graph, both line intersect each other at point (-3,6). So, the solution of the pair of lines is (-3,6).

In third graph, both line intersect each other at point (3,-6). So, the solution of the pair of lines is (3,-6).

In forth graph, both line intersect each other at point (6,-3). So, the solution of the pair of lines is (6,-3).

Therefore, the correct option is C.

7 0
3 years ago
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