The side length of a square ice cube is claimed to be 1.0 inches, correct to within 0.001 inch. Use linear approximation to estimate the resulting error, measured in squared inches, in the surface area of the ice cube.

Answers

Answer 1
Answer:

Answer:

0.012

Step-by-step explanation:

Linear approximation says that,

f(x) \approx f(x_o)+f'(x_o)(x-x_o)

For a cube the surface area is 6x^2.

So the side is 1.0 inch in, the surface area is =6*1^2 = 6 square inches.  

In Linear approximation means you ignore the term x_o^2 , if x_o is a small number, because then x_o^2 will be a very smalle number and that does not contribute much to the error.  

So the surface area is approximately,

6x^2=6x_o^2+12x_o(x-x_o)

So here, x=1.001, x_o=0.001

The error in the area is approximately,

12 * 0.001=0.012

So the error is 0.012.



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4. The diagram in this figure illustrates a _______ angle. A. right
B. supplementary
C. reflex
D. curved

Answers

Answer:

C)   The diagram in this figure illustrates a reflex angle

Step-by-step explanation:

Given : A diagram with an angle.

To find : The diagram in this figure illustrates a _______ angle.  

Solution : We can see from figure it is greater than 180 degree and less than 360 degree.

By the definition of reflex angle : The reflex angle is the larger angle. It is more than 180° but less than 360°.

Therefore,  C)   The diagram in this figure illustrates a reflex angle.

It would be C. because it is more than 180 but less than 360

Help asap please !!!

Answers

The answer is B

Step-by-step explanation:

3/4 + 1/8 =7/8

A.5/8 + 1/8 = 3/4

B.6/8 + 1/8 = 7/8

C.3/12 + 1/12 = 1/3

D.9/12 + 1/12 = 5/6

What is 83 divided by 72,628 not as a dec͓̽i͓̽m͓̽a͓̽l͓̽ answer

Answers

The answer is 5663588 for your question

Maura runs 5 miles in 1.25 hours. Ava runs 3 miles in 50 minutes (about 0.83hours), who runs faster? Justify your answer with a unit rate.

Answers

Answer:

Avas unit rate is for a mile 16.6666666667 minutes. while Mauras is 15 mins

Step-by-step explanation:

It would take Ava 16.6666666667 to run a mile, while it would take Maura 15 minutes to run a mile.

Multiply and simplify the product.–12i × 3i
Select the product.

a.36

b. -36

c. 36i

d. -36i

Answers

The multiplication and simplification of the polynomial –12i × 3i gives 36

What is a complex number?

A complex number is a number of the form a + bi, where a and b are real numbers, and i = √-1

i² = (√-1)² = -1

Given the complex number:

–12i × 3i

multiplying and simplifying gives:

= -36 * i² = -36 * -1 = 36

The multiplication and simplification of the polynomial –12i × 3i gives 36

Find out more on complex number at: brainly.com/question/10662770

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Hello,
(-12i)*(3i)=-36i²=36
Answer A

If rectangle is 8 feet long and (7+x) feet wide. what is the area of the rectangle in square feet?

Answers

if the length is 8ft and the width is (7+x) then the area would be 56+8x, if x is unknown.