28. Im (0.5eš) = a. 0.5 cos- b. 0.5i sin 5 sin d. 0.5 sin с.

Q: 2. One of (a)-(c) is incorrect. Find and correct the mistake. (a) - sin(y³) = 2y cos(y?) (b) dx…

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Q: √3+2 px/3 ² √²³ (2² 10 (2 cos 0 - 3 sin 30) de dr

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Q: π/4 1 π/4 sin TX cos 2y sin 4z dy dx dz = 0 0 0 (Type an exact answer, using n as needed.)

A: Solution

Q: 1. 6(x) = e- sin a, for y' + y cos x

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Q: 5. Find the e xact Value. ) sin I Sin( 6. Wtan sint 3.

A: (1) We have to find the exact value of the following -  sin-1sin7π6Since sin-1 and sin together will…

Q: 2 y = A cos 4x + B sin 4x +sin 3x b) 7

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Q: Use a CAS to plot the implicitly defined level surfaces in Exercises 73–76.

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Q: 4 2 ["S² sinπTy ³ dydx

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Q: (a) If = cos (2x), then y= xp (A)cos (2x)+C cos* (2x)+C (C) sin(2x)+C 2. 2. 2. (D) sin (2x)+C (E)…

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Q: /2 S cos (x) sin (æ) da = COS 0. 6. 15 15 O None O 15 2 45 2

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Q: 06:- Find the result of the following. (Choose two only) 4 1- 2-Si(Vx+ dt OLLI x² 3- 7 sine do

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Q: 3. S cos ædæ from a = 0 to b = 5

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Q: 10. 3 J√cos z sin ³ zdz COS

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Q: If k0 then the trigonometric integral [ 3 sin³ (kx) dx is equal to [−sin(kx) + sin³(kx)] + C the…

A: To evaluate the integral.

Q: Pre cal How do I evaluate?

A: Given expression

Q: A B 25/sin² 5 (sec 0 - cos 0) d )* Which of the following is equal to S; x² +25 dx ?

A: The given integral is x2/sqrt(x2+25).

Q: (a) e3 sin 2x da sin 2r (b) x* In x d.r (c) sin r cos rdr 3. (6)

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Q: 7. d. cos 0 cos 20 + sin 0 sin 20 = V3 over 0, 2t)

A: We know the sum identities: sin(a+b) = sina.cosb + cosa.sinb sin(a-b) = sina.cosb – cosa.sinb…

Q: 19. y = -3 cos 2x 20. y = 5 sin 2 AAMA A

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: T/4 cos(8) 5r* sin(0) dr de

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Q: 43. If > 2, then -dr = - 4 Jcos (4) + k B sin- ()+ k '(;) + A Cosh- (5) + k cosh=(4 D 2 tanh-(4) +k

A: for this integration, we will assume that x=sec(theta) and from that, we will solve the integration.…

Q: dt cos (2 sin 21) /1– 4r

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Q: 3. Eliminate the Arbitrary Constants (C, and C2) in the equation. (25 pts) y = C,cos (At) – C2 sin…

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Q: 1. S dr 1+sin a+cos a

A: The solution is given below in the next step:

Q: p) S 64 cos4 2x dx A) 24 x + 8 sin 4x + sin 8x + C B) 64 x + 2 sin 4x + 4 sin 8x + C C) 2 sin 2x + 8…

A: Hence option (A) is correct.

Q: Evaluate the integrals

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

Q: S 10* dx may be written as lsecRx 1 tanR*+ C where A, B, and C are constants not equal to zero.…

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Q: =/4 sin z 23)/" dr cosr

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 2. Find the antiderivative of COS -2 sin a Simplify dr

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Q: e csc 20 In (ecos 2 ) Ince cos CoS 20 28) Sin2 20 OP

A: Given integral is ∫ecsc2θlnecos2θsin22θdθ since lnex=x, so lnecos2θ=cos2θ The integral becomes…

Q: The integral So (cos(3x))² sin(3x)dx under the change of variable u = cos3x becomes - ov 29 9/29 u?…

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Q: ー49 a+ 22ト7 40 +3)Y-(sin 32) (Cos 2) +e

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Q: 13:49 4 Screen. 34 (C) If y = sin 2x + cos 2x , then (y,)o =? ans. none PAE sin+ COs 2

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Q: 4. sin M= 20 16 30 5. tan L = 6. cos Z = 16

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Q: 1 with in Ql , find sin B = B If cos B B Cos 3- 2/2 6 3- 2/2 Cos B COS 22 3 B cos 3 + V3 3 + 3 Cos 6…

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Q: 9. 3 cos(wt –@), where w and a are constants.

A: We use first Cos(a-b)=cos(a) cos(b)+sin(a)sin(b) and then we use Laplace transform of…

Q: 3) Solve S(4cos? x+4 sin? x)dx

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Q: 14. Find dr/de: r= 0 sin 0 + cos 0 а. cos @ b. 0 cos 0 0 sin 0 C. O a O b

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Q: 3. Calculate L {e=# cos(2t – 7)} COS

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Q: 22: Evaluate Sea s cos²(y s) ds.

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Q: 29 yn C ini n0 Ca 22. Evaluate cos-1(sin ). 16 h cowor

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Q: 4. S(1 – cos 4u) du 5. S sin x cos x dx

A: 4) Given:        ∫1-cos4udu Apply linearity:    =∫1 du-∫cos4u du     =u-∫cos4u du

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Q: 13. e-2t cosh³ 2t 14. cosh at cos at V3 t 15. sinh sin: 2

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Q: cos(j. T/2) COS COS

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Q: d²s dt2 sin 3t + cos 3t |

A: In this question, we need to find s.

Q: 1. If x-y? = 25, then y" = %3D a.) b.) c.) - d.) - 2. If y = cos(3x+1), find y' a.) 3 sin(3x+1) b.)…

A: Given:   (1) x2 - y2 = 25    (2) y = cos(3x+1)

Q: 1 Evaluate the equation /o x² sin (xy)dydx

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Q: 8. Evaluate (a). (20-0y di (b). / COS I sin(sin x) dx -3

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Q: 2 35 sint x cos³x «

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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.