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sergeinik [125]
1 year ago
11

F(x)=cos(x). Find the x-intercepts of f(x) on [0, 2).

Mathematics
1 answer:
balu736 [363]1 year ago
3 0

The x-intercepts of the function where the function is given as y(x) = cos(x) are π/2 and 3π/2

<h3>What is the x-intercept of the function?</h3>

The x-intercept of the function is the point or points where the graph of the function crosses the x-axis i.e. the point where the function equals 0

<h3>How to find the x-intercepts of the function?</h3>

The function is given as

f(x) = cos(x)

And the interval is given as

[0, 2)

The above means that we determine the value of x when the function f(x) equals 0

So, we have

cos(x) = 0

The above equation can be solved graphically

See attachment for the graph of the function f(x) = cos(x)

In the interval [0, 2), the graph crosses the x-axis at points x = π/2 and 3π/2

Hence, the x-intercepts of the function where the function is given as y(x) = cos(x) are π/2 and 3π/2

Read more about x-intercepts at

brainly.com/question/3951754

#SPJ1

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The truck's tank is a stainless steel cylinder. Find the surface area of the tank. Round your answer to the nearest hundredth.
Feliz [49]

Answer:

Area of the truck tank is 1356.48ft^2

Step-by-step explanation:

It is given height of the cylinder h = 50 ft

Radius of cylinder is r = 4 ft

Surface area of the cylinder is equal to

A=2\pi rh+2\pi r^2

Now putting the value of r and h

A=2\times 3.14\times  4\times 50+2\times 3.14\times  4^2

=1356.48ft^2

Therefore area of the truck tank is 1356.48ft^2

8 0
3 years ago
The lines y1 = 2x - 6, y2 = -3x + 4, y3 = -1/2x + 4 are the sides of a right triangle. Find the perimeter and area of the triang
sergiy2304 [10]

The area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units

<h3>Perimeter and area of the triangle giving the equation of a line</h3>

First we will plot the giving lines, determine the point of intersection and then use the Pythagoras theorem to determine the dimension of the right triangle.

From the given equation of the lines, the points of intersection of the line are (x₁, y₁) = (- 0.4, 5.2), (x₂, y₂) = (-0.8, 4.4) and (x₃, y₃) = (0, 4)

For the base

b² = c² -a²

b = √(-0.8)² + (4 - 4.4)²

b = 2√5 / 5

For the height

h = √((- 0.4) - (- 0.8))² + (5.2 - 4.4)²

height = 2√5 / 5

For the hypotenuse

r = √2 · b

r = 2√10 / 5

<h3>Determine the Perimeter and area</h3>

Perimeter = s1+s2+s3

Perimeter = 2√5 / 5 + 2√5 / 5 + 2√10 / 5

Perimeter = (2√10 + 4√5) / 5 units

<u>For the area</u>

area = 1/2* base * height

A = 0.5 · (2√5 / 5) · (2√5 / 5)

A = 2/5 square units

Hence the area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units

Learn more on area and perimeter of triangles here: brainly.com/question/21511715

#SPJ1

8 0
2 years ago
Which parametric equations represent y = – |x|? Check all that apply.
Alenkasestr [34]

Answer:

The right options are C and E.

Step-by-step explanation:

I got it right on Edge.

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Answer:

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Step-by-step explanation:

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Mel bought a box of markers for b dollars, a shoulder bag that cost twice as much as the box of markers and a pen that cost $6 l
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Since the box costed b dollars and the shoulder bag 2b (twice the amount of B), the shoulder bag costs 2b - 6.

Hopefully this helps! <3

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