In spherical coordinates, the integral equivalent to None of these. 2πT π/2 2 S 6,²¹² 6² p² sin odpdode 2πT π/2 1²th 1¹² 6²³ ² COS² 2πT π/2 2 [²* [*/² [² p² cos² dpdøde osin odpdode 2 4-x² 4-x² S 4-x² z²x² + y² + z² dzdydx is 2 V

Q: AC = d and %3D INДАВС, АВ In ABCD, CBD = 0,BĈD = B,BC Use the cosine rule to show x = 2d cos 0 В, ВС…

A: Given: AB=AC=d ABC=ACB= θ CBD=θ, BCD=β, BC=x, DC=k

Q: Evaluate the square root of z when z = 4 cis(170°). (Let 0<0 < 360°.) (smaller 0-value) (larger…

A: Since the value of θ is given. Therefore there will be only one  square root. Given: z=4cis170°…

Q: Use Euler's formula and find real and imaginary part of: Z1 = sin(1– 3i) 22 = cos(3+ 2i)

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Q: Evaluate r5/6 -π/6 2 cos 0 fo² 0 r sin Ødr de.

A: We have to evaluate ∫-π65π6∫02 cos θr sin θ dr dθ.

Q: -2n 1 9. Evaluate : de 6+ sine

A: Given, ∫02π16+sinθdθ=2∫0π16+sinθdθ Let us take…

Q: Evaluate the following (Express all answers in Rectangular form): 1 (201)' 3 2. V16230° 3. In(-1 –…

A: Our guidelines we are supposed to answer only one question. Kindly repost other question as the next…

Q: erify, if x E R, k € N: and get by consequence: n n S k=1 k=-n e (ikx) 1 sin((n +)x) sin ( 1…

A: We have to solve given problem:

Q: solue the diffova ial equeen solucthe diffeva tial equen -3X e Sin 3X

A: To solve a linear non homogenous  differential eqaution with constant coefficient follow: Rewrite…

Q: if क f z₁ = 2 ( 65 30 +isin 30) and Z₁ = (Cos60 +isin60), Find the following Z₁ * Z₁ له الله چه

A: Here we have z1=2cos30°+isin30° and z2=13cos60°+isin60° We have to find 1) z1·z2 and 2) z2z1

Q: 4x A. dx - 3 4 4x A=²³cof=1¹³) + C__ _B. — co(=^^) + C +C 4 4x c. ²2 cof=14) + C 4x D.= co(-1) +

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Q: 2. Which of the following is a valid trigonometric substitution? (a) If an integral contains 9- 4r2,…

A: Here, to find the valid trigonometric substitution.

Q: If z1 = 2 cis 30° and z2 = 4 cis (-60°) Find in modulus –argument form z,? x z2 (i) (ii) 3 Z1 Z2

A: Step:- 1 Let z be a complex number and modulus -argument form of z is z=r (cosθ + i sinθ); Here, r…

Q: ꜱᴏʟᴠᴇ ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ᴅᴇ with solutions thanks! cosx + ydx + 3y2 + 2y + cosx + ydy = 0

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