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2 years ago

Following calculus questions. Thanks so much

Mathematics

1 answer:

Brrunno [24]2 years ago

7 0

The vertical asymptote of the function that are illustrated in the calculus and the function y = 3cot(1/2x) - 4 will be:

B. x = 0

C. x = +-2π

<h3>How to illustrate the information?</h3>

It should be noted that the function that's given from the information illustrated is given as:

y = 3 for (x/2) - 4

It should be noted that there is no phase shift and the period is 2π.

It should be noted that the vertical asymptote will be x = 3πn where no is represented as the integer at n = 0, 1, and -1.

Therefore, the vertical asymptote of the function that are illustrated in the calculus and the function y = 3cot(1/2x) - 4 will be x = 0 and x = +2π.

Learn more about calculus on:

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How do I find point-slope

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y-y1=m(x-x1)

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4. Calculate the surface area of this triangular prism.

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3 years ago

Help

kobusy [5.1K]

The equation of the line is y - 3 = 5(x - 8) ⇒ c

Step-by-step explanation:

The point-slope form of the linear equation is $y-y_{1}=m(x-x_{1})$ , where:

m is the slope of the line
$(x_{1},y_{1})$ is a point on the line

∵ The line passes through point (8 , 3)

∴ $x_{1}$ = 8 and $y_{1}$ = 3

∵ The slope of the line is 5

∴ m = 5

- Substitute these values in the form of the equation below

∵ $y-y_{1}=m(x-x_{1})$

∴ y - 3 = 5(x - 8)

The equation of the line is y - 3 = 5(x - 8)

Learn more:

You can learn more about the linear equations in brainly.com/question/1284310

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3 0

3 years ago

Find the surface area of each figure.

timurjin [86]

Answer:

For a cylinder of radius R and height H, the surface area is given by:

A = 4*pi*R^2 + H*(2*pi*R)

Where pi = 3.14

We can just use that formula for each one of the given cylinders.

1) We can see that the diameter is 10 yd, and the radius is half of the diameter, then the radius is:

R = 10yd/2 = 5yd

And the height is 3yd, then H = 3yd

Replacing these in the area equation, we get:

A = 4*3.14*(5 yd)^2 + 3yd*(2*3.14*5yd) = 408.2 yd^2

2) Here we can see that the diameter is 24 cm, then the radius is:

R = 24cm/2 = 12cm

And the height is H = 10cm

Then the area is:

A = 4*3.14*(12 cm)^2 + 10cm*(2*3.14*12cm) = 2,562.24 cm^2

3) In this case we have a radius equal to 12 cm, and a height equal to 7 cm, then the area is:

A = 4*3.14*(12 cm)^2 + 7cm*(2*3.14*12cm) = 2,336.16cm^2

4) Here is hard to see the measures, I think that here we have:

diameter = 8m

Then R = 8m/2 = 4m

And the height is also 8m, H = 8m

Then the area is:

A = 4*3.14*(4 m)^2 + 8 m*(2*3.14*4m) =401.92 m^2

6 0

3 years ago