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KiRa [710]
3 years ago
13

Find tangent line at x=\pi , given: y=3sin^(2 )((x)/(2))

Mathematics
1 answer:
Luba_88 [7]3 years ago
5 0
The slope of the tangent line to y=3\sin^2\dfrac x2 is

y'(x)=3\sin\dfrac x2\cos\dfrac x2=\dfrac32\sin x\implies y'(\pi)=0

which means the tangent line at this point is horizontal.

Because the tangent line passes through

y(\pi)=3\sin^2\dfrac\pi2=3

the tangent line has equation y=3.
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During the first hour of operation the farm stand owner sold 15% of the apples he had. On the second hour he sold 20% of the rem
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Answer:

38.25 kg

Step-by-step explanation:

Let the number of apples sold = x

Now, on the first hour he sold 15% of the apples i.e. he sold 0.15x kg of apples.

So, the remaining apples = x - 0.15x = 0.85x

Further, on the second hour he sold 20% of the remaining apples i.e. he sold 0.20 × 0.85x = 0.17x kg of apples.

Thus, the remaining apples = 0.85x - 0.17x = 0.68x

Then, on the third hour he sold 25% of the remaining apples i.e. he sold 0.25 × 0.68x = 0.17x kg of apples.

So, the remaining apples = 0.68x - 0.17x = 0.51x

Moreover, on the fourth hour he will sell 30% ( i.e. 5% more of 25% ) of the remaining apples i.e. he sold 0.30 × 0.51x = 0.153x kg of apples.

As, during the second hour, he sold 25.5 kg of apples.

Then, 0.17x = 25.5 i.e. x=\frac{25.5}{0.17} i.e. x = 250

Hence, during the fourth hour, he will sell 0.153x = 0.153 × 250 = 38.25 kg of apples.

7 0
3 years ago
What is another way to write the ratio 3:4?
S_A_V [24]
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PLS HELP I WILL GIVE BRAINLIEST AND 40 POINTS
arlik [135]
Number 10:
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so add the first to and subtract that by 180

166 degrees
180-166=14
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Two boys are running track. They decide to start in the northwest corner and go opposite directions around the rectangular track
Mariulka [41]

= <u>187.3 yards</u>

Step-by-step explanation:

The set-up will represent a triangle whereby the :

  • Width = Height = 150 yards
  • Diagonal = Hypotenuse = 240 yards
  • Length = Base = ?

{a}^{2}  =  {c}^{2}  -  {b}^{2}  \\ {a}^{2} =  {240}^{2}  -  {150}^{2}  \\ {a}^{2} = 57600 - 22500 \\  \sqrt{ {a}^{2} }  =  \sqrt{35100}  \\ a = 187.3yards \: (rounded \: off \: to \: 1dp)

3 0
3 years ago
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