1 — х x(х + 1)

Q: i=| .neN' JSI E (4i +1) = 2n² +3n +1 (2) i=1

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Q: 1) 2) 3) cos ¹(2) j(1-j√3)(√8+j) (1+j)(1-j√3)²

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Q: 3. Iim Sin 5x (-) (+) fcx) fcx) - 0-2 o. 84147 0.2 0.24147 -0.02 0.99833 0.02 0.99833 -D.002 0.…

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Q: Cos 20 3 Cos G COS 2O = 1-2Si E-25 in

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Q: +0) sin 30 = sin + 0 - (un| |(cos 0) + (cos 20)(sin 0) sin - (2 sin e- (cos 0) + (1 – 2 sin? 0)(sin…

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Q: If e/2i =sin2 then z = - 2 In(sin2) + 4k t – 2i In(sin2) + 4k T

A: Equation can be solved by taking natural log both sides

Q: 1 Solve sec(3x) = sin(3x) for 0 <x < O I I 3n 11 24 8' 8' 24 O n 27 47 6 . 6 ,6 Ол 5л 13л 17л 36' 36…

A: Given:         14sec3x=sin3x for 0&lt;x&lt;π2          14sec3x-sin3x=0           sec3x-4sin3x4=0…

Q: cosh¯1(i) COS

A: Given,                    cosh-1(i)

Q: 14. x" + y = -101 sin(10t) ; y " + x = 101 sin(10t) ; x(0) = 0, x ' (0) = 6, y(0) = 8, y' (0) = -6

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Q: 1 ER=1 (- 100 k%3D1 2k+1

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Q: 2. an = 3 +- + cos(2nz) п 3. an = In(14n – n) – In(3n° + 2n² + 1) - |

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Q: x2 1+x2 x3 3 + C x+ x3 3 Ox- In (1 + x²) + C Ox – tan-1 (x) + C X - O In (1 + x²) + C

A: We have to find the indefinite integral

Q: 8(x²-a²) = 2a (cos - cos 0') [8(x-a) + 6(x + a)], 8(0 - 0′) sin 0 = 8(0-0') sin 0¹

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (x-2) (g-9) 2- 3X+uX- %3D 29-u | Sind general Salantion

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Q: ƒ cos(x³) x² dx. 1 ¹ cos4 + c 4 1 WIT 3 1 -| sin x³+ C 1 ·cosª + c 4 4 -3 sin x³+ C

A: Topic = Integration

Q: 7. y = cos`x sin'x %3D 3 A. – 4 cos x sin x B. – 2 sin sin 2x 3 2 C.- 4 cos´x + sin' D.- 2 sinx cos…

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Q: 9 sin sin 2O° =Y 1o) cos cos 70 = a4 24 1)Sin Sin 7o = X 24 12) cos cos 20 = _ x %3D 24 24 20

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Q: cos(x)-9=16cos(x)-1 ov

A: Here we have to solve the value of x;  8cos2x+4cosx-9=16cosx-1 over the interval [0,2π)

Q: f3(x) = 3 x',32 - 2, fa(x) = 5x² cos(x)+ 7VT. 212 + x – 1 fs(x) = 8 sen[2(x – 3)5 + 1], fe(x) %3D x²…

A: According to our guidelines we can answer only three subparts and rest can be reposted. f5 is wrong.…

Q: nson meth x-1 = 0. I

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Q: 군.Re(리- %3D 2. co 8. 8 Z=0

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Q: Outcome/s: Max Z = -X1 + X2 + 2X3 ST: X1 +2X2 - X3 s 20 -2X, + 4X2 + 2X, s 60 2X1 +3X2+ X3 s 50 X1.…

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Q: x= 8  u = 10  sigma = 2 find z score

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Q: sinho 10. S dw 1+coshw

A: solve using substituion

Q: 9 Find the coefficient of xin the e pansion (x + 25 Find the coefficient of x' in the Bapansion Jx…

A: Given; 1) (x+1/x)9 2) (√x+1/2x)25

Q: .a TC .bO 2π .cO || 2.

A: I will use the definition of gamma function.

Q: 2.10. Which of these equations is always true? A. sin(x) = cos(x) B. sin(x) = cos(90° – x) C. sin(x)…

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Q: ues of M = 1

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Q: 37. (а) In x %3D 3 (b) In e² %3D х

A: The x value of lnx =3 is calculated as shown below

Q: 7 (1 + sin² x) = e 2" sin 2.x, y(0) = 1 X 7) dx

A: This equation solve by separation variable

Q: (iv) –8cos2x – 3sin2x + 3cos2x – sin2x = acos2x + bsin2x (v) 3e-2x – 4e3x + 2e¬2x – 7e3x = ae-2x +…

A: The given equations are  IV) - 8cos2x - 3sin2x +3cos2x - sin2x = a cos2x + bsin2x V) 3e-2x - 4e3x +…

Q: sin 2t sin 5t 20 s4 + 58s2 + 441 O Option 3 None of the choices 1 10 s2 + 32 s2 + 72 s4 – 58s2 + 441

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Q: Evaluate the integrals

A: Since, our aim is to evaluate ∫0π2 5(sin x)32 cos x dx.

Q: 6. The value of A. sin ¹¹x + √1 + x² + C B. sin-¹ x - √1 + x² +C C. sin-¹ x + √√1- x² +C D. sin…

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Q: O 1:0: d (sin-x?) = (sin-1; dx 1 d V1 - x² dr (x²) خيار 4 1 V1- x4 2x V1-x2

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Q: S sin*x cos³ x dx C sin5x sin'x + C 7. sinx sin'x + 5 sin x cos'x + C 7 D sin5x cos'x + C 7. 5

A: We know that ∫xndx=xn+1n+1Also, d(sin(x))dx=cos(x)

Q: az az and ду Ql:- Find the if Z = x4 sin x y³. Əx

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Q: 12) f)=sin(x) 0<x<1 Ans. 24 1 (₁ A 7 (1)(3) 1 -cos(2x) +- -cos(4x) (3)(5)

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Q: PC-0-80 <z< 0-80) PC-O-50 <Z<l.00) P Co.20<z< 1-50) Q20ー72つaで1-つよ

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: 6. 7. 3+6s+45²-25³ s² (s² + 3) 26-5²- s(s² + 4s+13) [2+1+√√3 sin √√3t-4 cos √√3t] 2 [2-3e-2t cos 3t…

A: To find the inverse laplace of the following.6 3+6s+4s2-2s3s2s2+37 26-s2ss2+4s+13

Q: 1. Solve -10Cos²(x) – 3 sin(x)+ 9 on the interval x E [0,2n] |

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Q: 4. 4sin(x)cos(x)+2 cos(x)-2 sin(x)-1=0 -13D0

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Q: sin 4x, + c sin32x. A. sin 2x- (sin 2x - m 2*) 3 + (х + 16 - 8. 16 16 3 sin3, sin x В. 8 sin x 16…

A: Expand (sinx)^6 into single power.

Q: If  y = tan-1( k x) + tanh-1( k x)  and  (1 - 256 x4 ) = A Then A +k =..........

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Q: 2 + (-1)" 3+(-1)" O.1.1.3 1- 33.5 3-5 - 7 ,1-3-5 --- (2n – 1) - +(-1) 3.5.7- (2n + 1 3-5 E(-1)" sin

A: We will answer first 3 questions since we don't answer multiple questions at a time. Please resubmit…

Q: 1n 1-Co1 2n

A: To evaluate ∫π4π2 sin 2x1 - cos 2x dx

Q: 1 - T <x< T Ans. 4 cos(x) +cos(2.x) - 4 1 ***+ (xɛ)soɔ- 4) f(x) = 12

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Q: 8. Let x = 2 sin 0, -n/2 <0< T/2. Simplify the expression V4 - x?

A: Given: x=2sinθ for -π2&lt;θ&lt;π2 To simplify: The expression x4-x2.

Q: 4 E(-1)" sin n=1

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.