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Charra [1.4K]
2 years ago
10

Television screen has 6 

Mathematics
1 answer:
White raven [17]2 years ago
6 0
What do you mean step bro?
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The region bounded by y=(3x)^(1/2), y=3x-6, y=0
Ganezh [65]

Answer:

4.5 sq. units.

Step-by-step explanation:

The given curve is y = (3x)^{\frac{1}{2} }

⇒ y^{2} = 3x ...... (1)

This curve passes through (0,0) point.

Now, the straight line is y = 3x - 6 ....... (2)

Now, solving (1) and (2) we get,

y^{2} - y - 6 = 0

⇒ (y - 3)(y + 2) = 0

⇒ y = 3 or y = -2

We will consider y = 3.

Now, y = 3x - 6 has zero at x = 2.

Therefor, the required are = \int\limits^3_0 {(3x)^{\frac{1}{2} } } \, dx - \int\limits^3_2 {(3x - 6)} \, dx

= \sqrt{3} [{\frac{x^{\frac{3}{2} } }{\frac{3}{2} } }]^{3} _{0} - [\frac{3x^{2} }{2} - 6x ]^{3} _{2}

= [\frac{\sqrt{3}\times 2 \times 3^{\frac{3}{2} }  }{3}] - [13.5 - 18 - 6 + 12]

= 6 - 1.5

= 4.5 sq. units. (Answer)

7 0
3 years ago
Determine whether a tangent line is shown in this figure?<br> a. no<br> b. yes
faust18 [17]
No, the tangent line needs to be against the circle from where it leaves. This is just a straight up right angle.
7 0
3 years ago
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50,000 is _ times as much as 500
natta225 [31]

Answer: 100 x

Step-by-step explanation:.

7 0
3 years ago
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Convert 5.45787878 to a fraction. Simplify
TiliK225 [7]

Answer:

It is 54033/9900

Step-by-step explanation:

7 0
3 years ago
Number 12 find x....
Len [333]

Answer:

B= 13

Step-by-step explanation:

10x-5= 180-(4x+3)

10x-5=180-4x-3

10x-5+3=180-4x

14x-2=180

14x= 180+2

14x= 182

x=182/14

x=13

7 0
3 years ago
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