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Q: A- L [ Sin2t + cos2+] ² 2 B 32 3-2 [37-² + cost's *] 3 2

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Q: 4 Using trigonometric substitutions, ſ xV16 dx is equal to: - x V16 – x2 + C /16 - x2 -In -4ln + C…

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Q: S √√9-x² dx using trigonometric substitution will lead to: **/2 cos²0d0 Evaluating Ⓒ 18/² A 95*1/2 B…

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Q: (s,+)=(-3,1) X=5?+2+? y= 6st a) 4s x sinly) + 6+x?coscy) at (-3,1) b.) 8tx Sincy) + 6sx? Coscy> at…

A: GIVEN  (s,t)=(-3,1) X=s2+2t2  Y=6st substituting the value of s,t for X and Y we have  X=(-3)2…

Q: What is csc A if sec A = -4/3 and tan A < 0? A. V7/4 В. -(4V7)/7 (4V7)/7 -V7/4 С. D.

A: Use the trigonometric identity, sin2A+cos2A=1 and write sin A and cos A in terms of csc A and sec A.…

Q: Q4 Mode df Jx X= 26 How? -0.90623 sin(1-13x)=0 ㅗ 20.5772 V3

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Q: The x² – 4 dx can only be evaluated using trigonometric substitution technique . A) True B False

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Q: J, sin a sin? cos" ,dx COS 2 2 2.

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Q: d In(x2 - 4x + 13) + sin(ax) dx ex b.

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Q: Solve for A +능 D %3D B If: A=V8 (Cos ti Sin) %3D 8 = (1+i) c : V2+2i D = 3[2.5 cis los°- 3.3 cis 60]

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Q: (D² – 2D + 5)y = e* cos x

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Q: Given: z = cos(xy) dz Find: ay ду

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Which statement is true? (On the test, you'll need to turn in your work for a problem like this) 17…

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Q: 4. What is the form of y, given (D² + 9)y = x + tanx? Yp = V1sinx + v2cosx Yp = v,sin3x + vzcos3x A:…

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Q: Q4) Find the complete solution of the following equations: a) y" +3y' = sin x + 2 cos x (15)

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Q: (x) = x) = 2sinx coSx %3D d f(x) = (2sinx)( – sinx)+ (cosx)(2cosx) dx

A: Given that fx=2sinxcosxTo find ddxfx

Q: Alfredo and Alicia are having an ice skating contest. They skate along a long, straight track and…

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Q: (a/3 d(cosx) =? 24 - sinx O A) V3/2 O B) 1/2 C) -1/2 O D) -1/3 E) T/3

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Q: #+2 Q.23) cos²3x dx = 24 a)- #+24 KT -24

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Q: (a) cos t (d) sec t (c) cot t cos B 1- sin B (c) sin B-1 (b) tan t (e) csc t 9. Which answer is…

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Q: Using trigonometric substitution to evaluate, 2 5² dy y√√y²-25

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Q: y = sinh (5) cosh dy dæ 9 sinh

A: 1) Given: y=sinh-1x9 Find the derivative dydx as shown below. Recall, ddxsinh-1x=1x2+1

Q: " ccos(x/4) C o y dy dx sin(x/4)

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Q: (b) (1 + 2x) cos y dx + dy/cos y = 0 %3D

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Q: Evaluate: 1 v1-x² sin(a? + y³)dydx

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Q: i) L {8e")=? ii) L{2cos3t}=? iii) L {e²*sin4t}=?

A: Note some formula of laplace transfomation : Leat=1s-a Lcos at=ss2+a2 Leatsin bt=bs-a2+b2

Q: 5. (D² + 16)y = 24 cos 4x – 32 sin 4x

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Q: a*cos (6a*) dr 5. . s(6æ*)dx

A: ∫x2cos(6x3)dx

Q: 5. y = sin(x + A) %3D

A: ANS OF QUESTION NO. 5

Q: Z is a complex variable z=x+iy  question attached as photo

A: Consider the closed integral

Q: S cos³y sin³y dy 3.

A: Given,            ∫cos3ysin3ydy

Q: ez² cos(z) dz .

A: In this question, we use the Cauchy theorem for f(z).

Q: 5. J sin42x cos22x dx.

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

Q: 2. Find sin(72) -dz. where C: z(t) = 2 cost+i (2 sint). Os ts 2m.

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Q: Given: z = sin 3x cos 4y Find: dy²

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 3. DETAILS SCALCET8 7.2.0оз. Evaluate the integral. 1/2 sin11(e) cos (e) de Need Help? Read It Watch…

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Q: A) 48 B) 0 96 D) 32 If f cos42t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D…

A: To value of the value of given integration in terms of given values .

Q: Find the form only of the particular solution. Do not solve for the coefficients. SHOW WORK. y(5) +…

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Q: So³ So? (x sin(y) – y cos(x))dædy = 2 COS(x -

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Q: V 3 (d) r(1/6 + At) - r(n/6) = 3 COS At sin At cos At + SV3 sin At it

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Q: (3) fx² sin x dx (4) S (cos-14x)2 √1-16x² -dx

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

Q: Solve the given initial-value problem. y" + 9y = 0, y(0) = 5, y'(0) = -6 %3D %3D y(x) = 45 cos 6x-…

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Q: question 6. (D4-5D²-36)y = 0 answer 6. y = k₁ cosh 3x + k₂ sinh 3x + C3 cos 2x + C4 sin 2x…

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Q: cos(4x) dx - Find the Cauchy principle value (showing details): J (+5x2+4)

A: Given integral is, I=∫-∞∞cos4xdxx4+5x2+4 So, the function is, fz=cos4xdxx4+5x2+4 Now, consider the…

Q: Given: x = 4 cos 26 and y= 2 sin 26 What is the value of in terms of 6. dz O dy csc 29 dx2 -csc 20 O…

A: The solution is given below:

Q: Hello, can you please explain to me how the answer is 2tanx. The original problem is in the first…

A: Given,

Q: Find all solutions to sin3x =1, 0<x<2n Select one: п 5п а. 2 5 TT b. 6' 6 c. None of these d. 6 5π…

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Q: r(t) = 8 cos(t)i +8 sin(t)j + tk; t = 2 8 √65 65 √65 0. = X 65 = 0 - 10 .

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Q: Tc ニ lD+ 5Q+ 180 Q? Te= l00°+ 5Q + Q - given fumetion he 780Q? O-1 = OK IC parginal Revenue inal…

A: Given: TC=100+5Q+1480Q2

Q: Using the Method of Undetermined Coefficients, give an appropriate guess for yp. y(4) + 9y" =…

A: Given the DE is y4+9y''=cos3x+4x2. Guess the particular solution of the DE.