Select one: O None of these O r = 6sin20 O r = 6cos20 O r = sin40

Q: Which of the following represents a correct substitution used to compute: a2 da 4 sec2 (0) de a) O…

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Q: that Find flz)= r°cos20 + ir?sin po Such %3D is analytic-

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Q: Evaluate the integral. ∫Sin3 θ Cos 4θ  dθ

A: We have given;

Q: Evaluate the integral. π/2 sin³ 0 cos²0 de 3

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Q: Use

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Q: Express the number –2 in the form R(cos(0) + i sin(0)) = Re where R> 0 and 0 ≤ 0 ≤ 2π. NOTE: Enter…

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Q: The integral O 01 °: June 8 ° sec³ 4 can be transformed to which of the following when trigonometric…

A: Answer is (A)

Q: the area outside r = 1 and inside r = 2 cos 0 is

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Q: Let cos A = with A in QII and find V13 sin(2A) = Preview TI Enter your answer as a number (like…

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Q: Evaluate the integral. sin COs 503 502 502 sin 50 1. cos d0 3D 502 502

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Q: .

A: The given matrix is,

Q: Find the solution(s) for theta. -4 tan 0 = 4V3 O (120, 300} (30, 120, 210, 300} O (120} (210}

A: We can solve as follows

Q: Find the Integrationof {(u) = tanu + Cos 24. %3D

A: Consider the function, fu=tanu2+cos2u

Q: ; Choose the most appropriate answer. (i) Let 1-r 2 E (an cos(ntx) + bn sin(nrx)], n=1 on (-1,1).…

A: This is Fourier series expansion of (1-x) from -1 to 1.

Q: 8 Find the anti denivapine Sfa) faa or © f la) = Cos ( 6x) 16 - Sin? ( 6x)

A: f(x) = cos(6x)16-sin2(6x) ⇒I=∫f(x) = ∫cos(6x)16-sin2(6x)dx Since dsinxdx=cosx, therefore:…

Q: Evaluate the principal 5th root of z = 50 (cos150° + j sin150°) and find the absolute value (r).

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Q: The integral (cos(3x)) sin(3x)dx under the change of variable u = cos3r becomes u du. Select one: a.…

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Q: Use the substitution formula to evaluate the integral. (1 + cos 3t) 2 sin 5t dt 15 15

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Q: Find the product of z1 = 2 (cos 213° + i sin 213 °) and Z2 = 4 (cos 33 ° + i sin 33 °) %3D

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Q: Express 1+ cos a + i sin a in the modulus amplitude form.

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Q: Prove the left side equal to right side in the following: s2 (eice = (sin at + at cos ar] 1 L-1 (s²…

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Q: The entrance of Angel Stadium in Anaheim is cemposed of baseball bats configured in various right…

A: Given∠DCE =34°CD =47

Q: Evaluate the integral | : sin 20 do 3+ cos 20 using the substitution u = 3+ cos 20. sin 20 Op 3+ cos…

A: In this question, we need to evaluate the integral ∫sin 2?3+cos 2?d? using the substitution…

Q: Find the first 3 Zerms o Sinx et a =?

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Q: The area (number) inside the one loop of r^2=4 sin2 theta is

A: We have to find the area enclosed in the loop of r2=4sin(2θ)

Q: O Find the anfidanialtiner Sfaw da for fla)= 18 Cos (6x) 16- Sin? (6x) © fa) = ¿* (, +x) 9 + xe

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Q: Express the number –9 in the form R(cos(0) + i sin(0)) = Rei where R0 and 0 ≤ 0 ≤ 2π. NOTE: Enter…

A: Solution :  Given  number   - 9

Q: b) Find the common area between r= 4 cos (0) and %3D r=2 sin (0).

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Q: What is the general solution of sin z sin ydx + cos rcosydy 0? %3D

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Q: The area of the region that lies inside r = sin0 and outside r=1 cos60 is given by:

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Q: Evaluate. S cos a In(secz)dr COS D

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Q: sinrdr In( ou In cosr -3 cosr -3

A: Indefinite integral

Q: Calculate F-dr in the case when F(z,y) = (7y - sin (y) + 8)i+ (72 -e cos (y))jis conservative, and A…

A: Given that: F=7y−exsiny+8i+7x−excosyj and, rt=2tsinπt2i−π2sinπt2j for 0≤t≤1

Q: The integral dx (x²+4)² sec ³0 de sin ²0 de ° csc ³0 de ° Scos²0 do can be transformed to which of…

A: Here we have to transformed the given integral.

Q: Find zw and Leave your ans z=3(cos 140° + i sin 140°) w=5(cos 280° + i sin 280°)

A: Given that,

Q: Consider J sin'x cos²x dx. If we let "=cos x , the integrand can be transformed to. A 2u2 - - | (u²-…

A: The given integral,     ∫sin5x cos2x dx

Q: The integral of the right hand member of the first order LDE A B C с D -2sin³0 3 COS 2 2sin³0 3 sin…

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Q: X sin²= cos7 zcos'dx ·COS 2

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Q: Which of the following is equal to s v² cos (v³)dv ? A sin 1 8 jsin 1 O Option 1 Option 2 D. sin C.…

A: The solution is Option B 13sin(1)

Q: find dp/ dq. sin q + cos q = cos q

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Q: Evaluate 1- Sin L Cos L do 2- ( sing ecasy Sdt J-t44t-3 3-

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Q: Determine the exact measure(s) of 0, where 0° < 0 < 360°. and Cos 0 = 1. %3D

A: To find:- Determine the exact measure(s) of where 0°≤  θ ≤ 360° Given equation cos θ = 1.

Q: Find an appso ximation to 3/25 Co8sect places. to three decimal

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Q: Express the number –5 in the form R(cos(0) + i sin(0)) = Re where R > 0 and 0 < 0 < 27. Reio NOTE:…

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Q: Find all values of sin-V2 Given Z, = -1 + iv3 and Z, = -v3+i, show that In (Z,.Z2) # lnz, + InZ2 %3D

A: (a) We have to find all values of sin-12

Q: D. Express each of the following as a product of circular functions. 1.- sin(-20) + 3sin20 2. cos 3x…

A:

Q: Find z where z = sin (æ²) cos (4²) COS

A: The given function is z=sinx2 cosy2.

Q: /2 cos a sin(sin r) dx

A: using method of substitution

Q: Find the area. a. Inside one leaf of the three-leaved rose = cos30 b. Shared by the circle r=2 and…

A: Given that a) r=cos(3theta) b) r=2 and r= 2 (1 +sin(theta)) c) r=-3cos and r=1-cos( theta) We have…

Q: 5. Integrate the following and show all of your work: sin“ r cos r dr

A: we have to integrate the following