PLEASE HURRY ILL GIVE BRAINLIEST!!!!!!!!!!!

The dimensions of a closed rectangular box are measured as 97 cm, 67 cm, and 34 cm, respectively, with a possible error of 0.2 c

Dahasolnce [82]

Answer:

The maximum error in calculating the surface area of the box is $158.4 \:cm^2$ .

Step-by-step explanation:

Differentials are infinitely small quantities. Given a function $y=f(x)$ we call $dy$ and $dx$ differentials and the relationship between them is given by,

$dy=f'(x) \:dx$

If the dimensions of the box are $l$ , $w$ and $h$ , its surface area is $A=2(wl+hl+hw)$ and

$dA=\frac{\partial A}{\partial l}dl+\frac{\partial A}{\partial w}dw+\frac{\partial A}{\partial h}dh\\\\dA=2(w+h)dl+2(h+l)dw+2(w+l)dh$

To find the largest error in the surface area, we therefore use $dl=0.2, dw=0.2, dh=0.2$ together with $l=97, w=67,h=34$

$dA=2(w+h)dl+2(h+l)dw+2(w+l)dh\\\\dA=2(67+34)\cdot 0.2+2(34+97)\cdot 0.2+2(67+97)\cdot 0.2\\\\dA=158.4 \:cm^2$

An error of 0.2 cm in each dimension could lead to an error of $158.4 \:cm^2$ in the calculated surface area.

3 0

3 years ago

I need help!!!!!!!!!!!!!!

stira [4]

The answer would have to be d

7 0

3 years ago

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Help pls !!!!!!! WILL GIVE BRAINLEST

aalyn [17]

The solution of the inequality y + 15 < 3 is y < - 12

<h3>Inequality</h3>

y + 15 < 3

Therefore,

y + 15 < 3

Subtract 15 from both sides

y + 15 - 15 < 3 - 15

y < 3 -15

Therefore,

y < -12

learn more on inequality here: brainly.com/question/19491153?referrer=searchResults

6 0

3 years ago

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HELP

frosja888 [35]

The two triangles are similar by the AA Similarity theorem.

The height of the tree can be calculated by figuring out the ratio between the distance between the mirror to her feet and the distance from the mirror to the tree

<h3>How to use the concept of similar Triangles?</h3>

From Law of Reflection, we know that the angle of incidence and the angle of reflection are equal to each other.

Now, triangles can be proved similar by the AA, SAS, or SSS theorems. However, in this question, the triangles as seen in the attached image can be proved similar by the AA similarity theorem.

This is because both triangles have one congruent angle in common.

Sarah and the tree are standing straight and perpendicular to the ground and as such, the angles formed by Sarah and the tree are right angles.

The above tells us that the two triangles have two angles in common, making them similar triangles by the AA (Angle Angle) similarity theorem.

Since the triangles are similar, it means that the ratios of the sides of the triangles will be the same. Thus, if Sarah knows the distance from the mirror to her feet and the distance from the mirror to the tree, she can create the ratio between the two triangles.

Read more about Similar Triangles at; brainly.com/question/14285697

#SPJ1

5 0

2 years ago

What is the relationship between a derivative and an integral?

andrew11 [14]

Answer:

integration is reverse process of differentiation or derivative

Step-by-step explanation:

for example derivative of x^2 is 2x and integral of 2x is x^2

4 0

3 years ago

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