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Q: Choose the correct reduction 5 sin(wt) +5 cos(wt + 30) +5 cos(wt + 150 ) to the form Vm COS(wt + 0).…

A: As Cos(A) + Cos(B) = 2 cos(A+B/2) cos (A-B/2)

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Q: If y= In(4 tan (4x) ), then y' tan(4x) = Select one: 04/(1+x² ) O None O 4/(1 + 16 x² ) 01/(1+ x² )…

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Q: 1- Kutupsal formda verilen = e³8, - ≤ ≤ eğrisinin uzunluğunu bulunuz. a) a} 2410sinh(37) bị \10…

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Q: 3 Find C at any time7 2l/min SIN SIO 6l /min 8 elmin C NI8 100 Pure waley

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Q: (종-272 27=) + ain G + 272) The simplified form of cos O V3 cos 27z + sin 27z V3 cos 27z + v2 sin 27z…

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A: The sequence of partial sums is very important in evaluating the sum of an infinite series. The…

Q: -5TT/6 -21/3 -TT/2 -TT/3 -TT/6 TT/6 TT/3 TT/2 21/3 5TT/6 -2 y= 3cos(4x+2T) + 1 Ob. Oc. y= - 2sin3x-…

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A: If f(x) and g(x) are the function of 'x' and y= f(g(x)) then,…

Q: Dipsonsiyel Dentlemler Sinay Asagıdati birinci drece difransiyel Denk- y/1) - T kosulunu seğlayn…

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Q: 3. Evaluate by hand the following To (a) (cos nwot, cos mwot)= coS nwot cos mwot dt when m tn То (b)…

A: To calculate the given trigonometric integrals

Q: ( 5) Find f (o) and f (0) f Ga)= .3 if x° Cos (x3)

A: Taylor series expansion

Q: 3.5 30 21 Not drawn to scale. O SAS- Theorem O SA- Postulate O SSS- Theorem O AA- Theorem

A: There are 2 theorems for similiar triangles. SSS and AA theorem

Q: 17. which of the folowing ions s NOT atuncton A --u-sa 10 15

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Q: 1- Two vecters n'and mª anl Said to be orthogenal if n'entzo T b. F a.

A: The given statement is: Two vectors n and m are said to be orthogonal if nxm=0 To determine whether…

Q: 4) For A = ajax + azāy + azaz , B = b,ax + b2ay + bzaz, show that A.B cos 0 = A.AVB.B

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Q: (8.20 ds: Find the tayLor seri's expen sian of In Cxri) about XozO

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Q: -24-4s e S COS os(28) – 7 sen(28) cos s+6 s2 + 49

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Q: 4) Which of the following foumulas does not Kold for all x, we CZ O la wl= |2). Iw). (6) X W = ņ. W.…

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Q: 14) Find the Jacobian of the tra nsformation. x=5u-v,y=Du+3v

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Q: Consider (e cos 4 + ie sin 4) (11+12:) cos 4+ ie sin 4) (11+12i) 3DZ What is the general value of z?…

A: Euler's formula is given as that e^(ix) = cos(x) + i sin(x).

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Q: 2.* 3 S(x* + 2x - 1) cos 4x dx 3x2 +. 16 13 х 13 sin 4x + 4 cos 4x + C 32 128 B 13 х (3x2 sin 4x + 4…

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Q: 40. In isosceles AMNP, MN = MP. With point Q on MN, MO = QP = PN. Find mZM and mZN. Q 384.

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Q: 11 Ifx = Arc cos then x is equal to 1) 120° 2) 150° 3) 210° 4) 300°

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Q: 4. Write u = -2 cos Tt – 3 sin at in the form u = Rcos(wot – 8).

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Q: Find the exact values of sın 20 and cos 20 for cos e on the interval 0° S 8590° sin 20= 0.7744, cos…

A: Use the identity sin2θ+cos2θ=1 to evaluate the value of sin θ. sinθ=1-cos2θ=1-372=1-949=4049=2107

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.