Fungsi Eksponensial dan Trigonometri Bentuk lain dari e adalah: e = ex+ty = e*e!ly e(cos y isin y) Contoh! e2-in= Note: cos(-0)= cose dan sin(-e) =-sin et cos e i sin 11 e-i0 cose - i sin e Tentukanlah hasil da eie-e-ie dan ete+ e-ie Fngsi Triganometri Bilangan Kompleks sin e = 2i el0+e-i Cos e = unilni dori: tul

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: I got 0 but idk if thats correct please show all work

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Q: 1 - / sin2r - ycos2r điferansiyel denkleminin genel çöztumt aşağıdakilerden hangisidir? a) Hiçbiri…

A: Consider the homogeneous differential equation y'sin2x-ycos2x=0. Variable separable form:…

Q: Tentukan pembuktian dari pertanyaan yang dilingkaran biru

A: As per norms, the first three questions are answered.To prove the required identities and compute…

Q: Eliminate the Ar bit rary constant a) x' - 3x*y = C 2. y= mx + jh is a parameter m to be eliminated…

A: The order of the differential equation of a given relation is the number of arbitrary constants in…

Q: Half augle identites!- from diagram; Sino - |AB) TPB) = tan 8 B Q = |- Cos Q Sin& or Sino Cond B…

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Q: Given that the characteristic equation has the following roots , what is the complementary solution?…

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Q: Prove from the questions in the blue circle

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

Q: Compute the Jacobian of : O(r, 0) = (9r cos 0, 4r sin 0)

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Q: Assuming the truss members only bear axial loads, the following set of 10 equations can be…

A: Assume the truss members only bear axial loads, the following set of 10 equations can be determined:…

Q: If y(u) J5 COs v9 dv then cos(9u eIu y'(u) = %3D e4

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Q: 2 = e" cos u = e – r, v= re".

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Q: V, = {2i} m/s V, = {0.448v½i + 0.894v,j} m/s = {5 cos 0 i + 5 sin 0 j} m/s %3D 目。 Vb/r v, = 2 m/s 5…

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Q: dy dalam dr Gunakanlah diferensiasi parsial untuk menentukan pernyataan untuk kasus-kasus berikut:…

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

Q: Let w = a*y cos(4z). Find the following. (a) (x, Y, 2) = (b) (x, Y, z) = ду (c) (x, Y, z) az (d) (2,…

A: In this question we will use basic of calculus i.e concept of partial differentiation. We will…

Q: Find the angle at which the cardioid r = a(1 – cos 0) crosses the ray 0 3D п/2.

A: To find the angel at which the below cardioid crosses the ray θ=π/2

Q: Prove from the questions in the blue circle

A: Given trigonometric equation is,

Q: Given that the characteristic equation has the following roots, what is the complementary solution?…

A: We will find out the required complementary function.

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

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Q: 5. cos(M) = %3D 6. sin(L) = %3D 7. cos(L) = 30 34 %3D 8. tan(M) = %3D 16

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

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Q: Let z(x, y) = xy where x = r cos(80) & y = r sin( - 50). %3D | дх ду дх ду & ar' ar' a0 az dz & ar…

A: Let z = f(x,y), then,   ∂z∂r =∂z∂x · ∂x∂r + ∂z∂y · ∂y∂r   ∂z∂θ =∂z∂x · ∂x∂θ + ∂z∂y · ∂y∂θ

Q: If r (t) = (cos(t), sin(t), 2) r(t) = (cos(t), sin(t), 2) , %3D T then fr (t) dt =

A: It is integration using limit problem.

Q: The area A of a triangle with sides of lengths a and b enclosing an angle of measure u is A =  ab…

A: (a) Obtain the required relation as follows.

Q: use impRet deffen faton bfind an equation of the langent lene to the luve at the gaun foint. Y Sen…

A: To find the equation of tangent

Q: Suppose r' (t) = (cos(t), et, 2t) and r(0) = (1, 0, 3). Find r(t).

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Q: du u = ek sin-¹ m. m = sinx.k = 2² Iny,l == then at mv2 In 2 4 In 2 b) 2√2 rv2In 2 # In 2

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Q: a. Show that If z=x+iy where y >0 Then: 0 < |e*|<1 b. Evaluate cos (i z) – sinh?(z)

A: Using De Moivre's Theorem

Q: Assume cos(t) = - where <t <a. Compute the following %3D cos(-t) = sin(t) = sin(-t) =U sin(-t) +…

A: topic - trigonometric ratios sin(-x)=-sin(x) cos(-x)=cos(x) sin2(x)+cox2(x)=1

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

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Q: Show that if z = cos u + i sin u, then | z | =1

A: We have to show that if z=cos u+i sin u, then z=1. We know for any complex number if z=x+i y then…

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

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Q: The general solution for uz + Uyy = 0, %3D u(r,0) = 1, u(z, 1) = 0, u(0, y) = 0, u(1, y) = 0 is O…

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Q: u(x,0) = x – x², u(0, t) = u(1,t) = 0, t>0, %3D - %3D Solve the following IBVP: Ut(x,0) = sin(27T),…

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Q: (b) y = e-u cos(u) dy = -e"sin(u) – e"cos( u) os u

A: The given function,  y=e-u cos(u)

Q: If A = sin o a, +p cos o a, 1. Evaluate A. dl around the path shown in Figure P4. 2. Confirm this…

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

Q: dz az If z = xyeX/Y, x = r cos(0), and y = r sin(0), find and ar when r = 2 and 0 = %3D az ar (r, 0)…

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Q: Prove from the questions in the blue circle

A: Given trigonometric equation is,

Q: Let w = x*y cos(42). Find the following. (a) (x, y, z) = %3D (b) (x, y, z) = ду (c) (x, y, z) = dz

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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: Given that L{cos bt}(s) = S use the translation property to compute Leat cos bt}. s² + b²,

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Q: Find C if r(t) = ⟨et, 3 cos t, t + 10⟩ + C and r(0) = ⟨0, 0, 0⟩.

A: We have given function r(t)   r(t) = ⟨et, 3 cos t, t+10⟩ +C   We have to find the value of C   It…

Q: 2) en forma de hélice x = 2 sen t, y = 2 cos t, z = 3t, 0<1< 2# y función de densidad p = 5.

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Q: dy when (cos x) = (sin y)* dx A Find %3D

A: Note: - Since you have asked multiple question, we will solve the first question for you. If you…

Q: Srwax - Sou) du. flw) sec (3*) 3x-1 Consider Solu) du ? %3D %3D what is O n Scos u du 1 3 In3 B In 3…

A: ∫fx dx=∫gu du &amp; fx=3x-1sec3x. Now consider, ∫fx dx=∫3x-1sec3x dx=∫3x·3-1sec3x dx=∫3x3 sec3x dx…

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: Prompts Submitted Answers Se'sin(e")cos(e")dx Choose a match a eu +C Sxe*cos(e*)ax a un+1 + C n+1 a…

A: I am attaching image so that you understand each and every step.

Q: U + zu, =z u(z,0) = sin(87z) cos(90r). IER, t> 0,

A: Solving given partial differential equation by Lagrange method. Rewriting partial differential…

Q: Find cos(u – v) given the following information. 4 sin u = 5' 3 2 1 sin v = 3' 2

A: As per the company guidelines we can solve first question. I hope that the given solution will help…