The following data contain averages and ranges on the weight (in grams) of a certain engineering item. The data come from a sampling procedure where 10 samples of the size n = 3 + § are taken from a process. * 1511 1508 | 1522 | 1498 | 1519 | 1524 | 1517 | 1504 | 1501 R 1510 + ø 8 22 14 11 18 11 9+w (i) Calculate the center line, upper and lower control limits for the x-bar chart. (ii) Discuss the effect on the center line and control limits when the sample size increases.

Q: Solve THE FOLLow wg TRig. EDUATIONS Ovee the uteaual Lo, 366 © 2 cos?o -1 ioso -4-0 (D1- Sıe = Sw°o…

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Q: Determine the exact value of cos(120)° V3 2

A: The given question is from the trigonometry and can be solved as shown below.

Q: cos 3

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Q: -1 cos х ах

A: We can find the answer to the integration in the following steps.

Q: What is the wavelength (in nm) of blue light that has a frequency of 6.51 x 1014 s1? (c = 3.00 × 10°…

A: given  c=3.00*108 m/s=3.00*108 ms-1λ=6.51*1014 s-1we have λv=c ....(1)

Q: 2. m2Q = mZS = T(91° 27 R

A: Given that: Lines TS||QR  and   m∠T=91° and m∠R=27°

Q: 82 18 Riv 80

A: For a right triangle we know, cos(θ)=basehypotenuse

Q: t 48⁰ 8 X

A: For the given triangle Hypotenuse( h ) = y base( b ) = 8 Perpendicular( p ) = x

Q: Example 3: If cos B = sin a, what must be true about a and ß. Explain your reasoning.

A: We have the following statement If cosβ=sinα What must be true about α and β   We know that…

Q: coth(i) CO 4.

A: Use the hyperbolic formula for trigonometry ration

Q: Which function has amplitude 3 and midline y=5?

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Q: Determine the exact value of cos T + TT 3 6

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Q: 3) Find é=? Φ =?

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Q: 2 sin°e cose de= 60 a O 120ь о .c O 60 1 .d O 120

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Q: 20х to 5y

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Q: i0 -i8 Sin g=t e-e %3D 2.

A: To show: sinθ=eiθ-e-iθ2i Solution: We know, by Euler's formula: eiθ=cosθ+isinθ…

Q: How do you solve cos θ = cos77° / 2 ?

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Q: ( 19 ' Evaluating cot 3 will yield to A 3 B -V3 D

A: Here, cot19π3cot6π+π3