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3 years ago

Use the function and the accompanying figure to answer the following questions: (calculus)

Mathematics

1 answer:

White raven [17]3 years ago

5 0

$f(x)$ is defined at $x=2$ ; according to the plot, its value is $f(2)=3$ .

It's not continuous at $x=2$ , however, because the limit of $f(x)$ as $x\to2$ from either side is 1, but $f(2)=3\neq1$ .

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If X = 3 inches, Y = 11 inches, W = 5 inches, and Z = 5 inches, what is the area of the object?

ziro4ka [17]

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3 years ago

Measure of angle ABD =5x, measure of angle DBC =3x+10 solve for x and find measure of angle ABC

Lelechka [254]

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4 years ago

Compute the following volume and surface area.

Vesnalui [34]

The surface area of rectangular solid is 208 square centimeter

The volume of rectangular solid is 192 cubic centimeter

<h3><u>Solution:</u></h3>

Given that rectangular solid has sides of 4 cm, 6 cm, and 8 cm

To find: surface area and volume of rectangular solid

Length = l = 4 cm

Width = w = 6 cm

Height = h = 8 cm

<h3><em><u>The formula to find the surface area of a rectangular prism is:</u></em></h3>

Surface Area = 2wl + 2lh + 2hw

where w is the width, the l is the length, and the h is the height.

$\text {surface area }=2(4 \times 6)+2(4 \times 8)+2(8 \times 6)\\\\\text {surface area } = 2(24) + 2(32) + 2(48)\\\\\text {surface area } = 48 + 64 + 96 = 208$

Thus the surface area of rectangular solid is 208 square centimeter

<h3><em><u>The formula for volume of rectangular solid is:</u></em></h3>

$Volume = Length \times Height \times Width$

$volume = 4 \times 6 \times 8 = 24 \times 8 = 192$

Thus the volume of rectangular solid is 192 cubic centimeter

7 0

3 years ago

Please help if u can! :))))

Maurinko [17]

Answer: 0.8

Step-by-step explanation:

The formula to find area of a parallelogram is A = bh. This means that area = base x height. You can manipulate this formula to what height equals instead of the area. To do that, you can divide b on both sides. This would make the equation h = A/b.

Now that you know how to find what height equals, first find the base of the parallelogram. To find b, multiply 6 x 5. 6 x 5 = 30. This means that your base is 30.

Take the information given to you in the problem about the area. The area is given to you. We know that the area is 24 squared units. Remember what the equation to find height is. It's h = A/b. Substitute the variables for your numbers. h = 24/30.

24/30 = 0.8.

This means that your height is 0.8. This would be 8/10 in fraction form, but you can simplify it further to 4/5.

Hope it helps. Good luck!

8 0

3 years ago

Help pls pls plsssssss

Aloiza [94]

Answer:

see explanation

Step-by-step explanation:

Given the points (a, c ) and (b, c )

Since the y- coordinates are equal the distance formula simplifies to

d = $\sqrt{(x_{2}-x_{1})^2 }$

with x₁ = a and x₂ = b

d = $\sqrt{(b-a)^2}$ = b- a

3 0

3 years ago