oo Use Hhe Quotient Rule to differentionle the funchion 0. secca) ) Simplify the expression it in'ters of sincx2 ond cos a) ónd thes find O). for fra by yriting Write the form of the of the Lunction e Do not' determine the numerid valves lof the coefficents, partial frocdion decomposition 2.

Q: tanx)-sinx) lis sintx) 1/2. -5/4 O 7/2 o 5/4 O

A:

Q: Q3-B)Show that u = e"cosy is harmonic function and find a hamonic conju

A: There is 1 mistake in problem.In place of cosy,there must be cos3y,so that the function will become…

Q: b) Evaluate || 2 dA, where R is region in the first quadrant that is out side the Petal r = Sin(38)…

A: The objective is to find the value of ∫∫R2dA , the region R is lies in first quadrant which is…

Q: b) Find the inverse ztransform of the following: i z's zl2|sin 3 2(2/2/cos 3)z+|2/F] zz(z*+4z+1) 1…

A: We will use the basic knowledge of the theory of z-transforms to answer all the three subparts of…

Q: 3G)Ú) Show that the reduction formula for atanx で-u sec"x dx = Sec" 「キu ) Hence use tthe formula to…

A:

Q: a) Prove that the following functions are harmonic and find for each function its harmonic…

A: The given function is, 2excosy,x2+2x-y2. Consider a function f(x,y)=u(x,y)+iv(x,y) is an analytic…

Q: lim 0 3x²+5 cos x- 2x -5

A:

Q: Let the position vcctor bc R CE) = <3€,2 cos (3€), 2 sin (3€) Compute the curuature

A:

Q: b) Prove: Ifwis harmonic conjugate of V in a domain I and V is harmonic conjugate of u in a domain…

A: Since you have posted multiple questions, we will provide the solution only to the first question,…

Q: 3 12 6. Gtven sina = -; and cosß = where n<a <: and <B< 2n. 5 13 Draw the triangles, length of the…

A:

Q: Q1: show that1) d/dz [cosz] = -sin z, 2) 1+tan2 z = sec2 z

A:

Q: •) Prove: Ifwis harmonic conjugate of V in a domain I and V is harmonic conjugate of u in a domain…

A: Since you have posted multiple questions, we will provide the solution only to the first question,…

Q: Q2/ Check the symmetry of r² = -sin(20) %3D Ans./ Symmetry about the origin

A: Symmetry

Q: a) L{t.sin(t– 7)U(t-)} = ? 2 L{[(t-u) e* du} =? b)

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: Use shifting graph to sketch a) y = 1-|V2 – 2x| b) y = 1- sin (0.5x)

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

Q: Given f (t) = t^2 and g ( t) = sin 2t, obtain the convolution (f * g). -ea* -1- cos21) -er -1- cos…

A: Convolution Theorem : f * g t = ∫0tf(u) g(t-u) du   Integration by parts : ∫uv dx = u∫v dx -…

Q: 22 Find x6) ie Inverse z.T of 5z-1 = (리X (27') C 3-2-1) with conditins (i) Roc: 두기리 (in) Roc: 1리 2…

A: Break the given z-transform in its partial fractions: Xz=5z-11-2z-13-z-1       =11-2z-1-33-z-1…

Q: Solve this task from first imageusing theorem from second image, write full computation

A:

Q: 14.) Using algebra, prove For real numbers X₁X and ..xn 2 { x.g.) ¹² ( 2 xiyi (=1 the identity of…

A:

Q: Insec2 (sin2y) Which of the following is one of the correct steps to evaluate the sec2y A None (B In…

A:

Q: Given that z = 1- iv3, express z in the form r(cos 0 +i sin 0). Hence write down z' in the form…

A:

Q: (12,50 Puanlar) 3- Evaluate the integral 3x +2 dx. V5 - 22 a) – 2 arcsin V5a + 3/5- a? +C b)2…

A: Given: The integral is ∫3x+25-x2dx

Q: f-A Sin(b2) cos (but) Does aboue ginen en funchion Saitsy the follewingS Saidsfy the following…

A:

Q: Sin (x) n=

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Find an analytic function (or functions) if Ref(z) = x ² y² + 2x and fli) = 2i -1

A:

Q: State the domain and ranye osiny eithe set nutation or interval) for this quadratič funcEion y-3…

A: Given, y=35(x+6)2+3 can be rewritten as y=123+3x2+36x5

Q: ) Use shifting graph to sketch a) y = -|x² + 1|+3 b) y = 1- cos (0.2x)

A:

Q: a) Evaluate ||| x²yz dV, where G is solid in the first octant that is bounded by parabolic cylinder…

A: