Express e in a+ib form. a) 0-e'i b) 0+e'i c) -ei c) e+ei Answer O A OB D

Q: Prove a formula from the red circle problem to get the blue money circle formula

A: To prove the required formulae for sin  and cos (involving exponentials)

Q: Find point D where D is a point on AB where AD 1 CD. Then compute A = |AB||CD|

A: Find the steps below.

Q: In Exercises 1–6, let θ be an angle in standard position with (x, y) a point on the terminal sideof…

A: We know that if θ be an angle in standard position with x,y a point on the terminal side of θ and…

Q: Assume z =x+ iy = re® , i = /-1

A: Topic:- algebra

Q: (d) Let d be any metrie on Rand define p by plz, v) = Show that pis also a metrie on R.

A: d)

Q: Solve the with indrial data uiçol=3r r,O) = 0 wave 7.

A: We have to find the solution of given wave equation

Q: 2ーてスース+スニ。 A ind yh ans: スi:z )スてニリ人3:)

A:

Q: Find the distance d(u, v) between u and v in the given Fig.

A: To Determine:  Find the distance d(u, v) between u and v . Given: we have u=-12,v=31 Explanation: we…

Q: Prove from the questions in the blue circle

A: To prove the required identity for trigonometric functions of a complex variable.

Q: can you help me step by step please

A:

Q: According to the second translation theorem, how do we fınd the indicated missing factor? -25 d{sin…

A:

Q: iv) z, = ei01 ,Z2 = el62 then z,. z, = ei(81-02)

A:

Q: By using Laplace trans formations Solve : - -2X 2X +3 e Cos3X y(oJ=0, ýw=| %3D

A:

Q: (1+cot 6) de 5. sin' O14 - cote let, u= du=

A: Solved below

Q: Point I is on line segment HJ. Given HI = x, IJ = 2x + 9, and HJ = 4x, determine the numerical…

A:

Q: Derive the formula cos(a)=cos(b)cos(c)+sin(b)sin(c)cos(A) for an arbitrary spherical triangle with…

A:

Q: for tE{0,, 2, ..a} Consider td differrnce equirim

A: For the given difference equation xt+3+4xt+2+xt+!+6xt=16 We need to find the general solution

Q: can you help me step by step please

A:

Q: Reduce to the form a + bi: a. sin (2 – i); b. cosh (1+ i).

A: Given: sin2-i cosh1+i To do: Reduce the given into the form a+bi.

Q: Write a two column proof. (5 pts) Given: TR=TV, TS 1 RV Prove: ARTS=AVTS TU, Ts LRV Given R V

A: We have to show that ∆RTS and ∆VTS are congruent traingle.

Q: r 64 In(y) 49 VY

A: We need to solve definite integral.

Q: Reduce to the form a + bi: a. sin (2 – i); b. cosh (1 + i).

A: Solution:-

Q: 5Tt in standard position. 6. Sketch 0 %3D

A: Given: Angleθ=5π6, To sketch: The given angle in standard position.

Q: 1) Let c. 12i| =3 and I = e dz. then %3D I= 1o TTi? %3D

A:

Q: | sec? u du = tan u + C

A: Topic- integration

Q: Find the principle solution of sec(4z) = 2. If there is a distinct solution from the other half of…

A: sinπ3 = 32 and  sinπ-π3=32 cosπ3=12   and   cos2π-π3 = 12 .

Q: According to the second translation theorem, how do we find the indicated missing factor? -2s…

A:

Q: (a) , f(r cos 0,r sin 0 )rdrde

A: Answer and explanation is given below

Q: w/4 tan e If u = sec 8, then de = sec e du A Judu du UJudu

A:

Q: Is AB a tangent to OC? A 5. C 15- Your answer: Yes, AB is a tangent. nt No, AB is not a tangent. 14

A: We have to find tangent

Q: The formula in cell B1 is =A$2. Autofill is used by dragging B1's autofill box across to C1, D1, and…

A:

Q: e For euh nzl we define bnz am 10

A: (c) Consider the given sequence. bn=∑m=1∞am10-7m If an is a convergent sequence and bn is a…

Q: Part 1 of 3 Complete the proof. Given: RS UT, RT US Prove: ARST AUTS M W V ..... Statements Reasons…

A:

Q: 8. BU -42, BM = 40 and UL = 59. Find MW. Round to the nearest tenth. %3D %3D U M

A:

Q: 5:48 ll Done 33 of 35 Tools- O Question 1 GEU3P1 Triangle ABC can be taken to triangle A'B'C' using…

A:

Q: Find the conjugate harmonic of v(r,9) = r² cos 20-rcose+2. Show that vis harmonic.

A: Given vr,θ=r2cos2θ-rcosθ+2

Q: %3D 20 24 tan 24 through solve this egni: Hint :oU=KL +2 =0 மு 3K²=Par ET %3D 2.

A:

Q: 7 Jlgull sin(2) = e-e- 2i eiz-e-iz 2 et +e-iz 2i e -e-i: 2i

A:

Q: Let a = ci +jand b = 12i + 9j. Find cso that the angle between a and bis 6' Round your answers to…

A: Solve by dot product

Q: Compute the length of the cardioid r = 9 – 9 cos(0).

A:

Q: 31. TT/2 alo csc t cot t dt 32. TT/3 [/csc²0 de

A:

Q: Consider the figure. J 8. What is JL? 身

A: Two right angle triangle   ∆JKL  and  ∆KML KM = 6  And  JM = 8

Q: Given: MT and HA intersect at B, (MA)(HT) and MT bisects HA Prove: MT = HA Part A: Annotate the…

A: Given : MT and HA intersect at BMA || HT and Mt bisect HAto prove : MT = HAIn ∆MAB and ∆ HBT

Q: A particle travels along a path from (0, 0) to (3, 4). What is the displacement? Can the distance…

A:

Q: Let z = r+iy, r, y E R. Show that if cos a = 0, then cosh y cosh y 1 <1. | cot 2|2 :

A: Let z=x+iy, x,y∈R. Consider cos x=0. And we know that cot z=cos zsin z

Q: Point P is the centroid for AMNO. calculate MO if MR = 13. Round to the nearest tenth if necessary.…

A:

Q: ди Ans, u = e"(A,er" cosh ax + Bjehar" sinh ax) e ka't cos ax + B,e¯ha" sin ax) -ka’t, u = e"(A;x +…

A: Given PDE is k∂2u∂x2-u=∂u∂t,  k&gt;0          (1) Let the solution be u=XT, where X and T are the…

Q: Consider the model Yi = β0 + β1Xi + εi, where E(εi) = 0 and Cov(Xi, εi) = 0. We observe (Yi, Xi)…

A: Given Model is y=β0+β1Xi+εi where, β0= Intercept Parameter β1=Slope parameter εi= random error…

Q: 2. Consider the following diagram. U Part A: Prove that a LOU~A OZU- A LZo. Part B: Prove that the…

A: