d³y + 4x². d²y +sin sin 2x dx2 dy 1. dx3 dx =sin sin y 2. y*dx + (2xy +lIn In y )dy = 0 d²x 3. (4y? + 2y) dx x sin sin y + 2y dy dy2

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A: Some of the properties of integartion  If ∫f(g(x)) g'(x) dx then using substitution method g(x) =t ...

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Q: If = Xy +yZ+そ %3D X = P4 y= LnCq-3P}),そ = っそ= Vq+ find ow や9 9=4 at

A: Using the chain rule for derivatives :     ∂w∂q = ∂w∂x ∂x∂q + ∂w∂y∂y∂q +∂w∂z∂z∂q∂w∂q = y p + (x+z) 1...

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A: Introduction: A line integral is a type of integral in calculus in which the function to be integrat...

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A: We have to find the given series is convergent or divergent.

Q: Suppose that f is analytic on a domain D and Vz e D,f'(2) = af(z) for some constant a. Show that f(2...

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Q: Solve the simultaneous solution of the following system using substitution and/ x + 2y + 32 = 4 2x +...

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

Q: 2. Show that (a) S' = {z = a + bi E C|a, b € R, |2| = a² + b² = 1} is a subgroup of C*. %3D

A: Since you have asked multiple questions, we can solve first question for you. If you want other ques...

Q: 1. Solve for the function f (t) to the 120 E(s) =

A: Introduction: The Laplace transform of the function F(s)=1s-a, s>a is given by, f(t)=eat

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Q: Decide whether the following statements true or false. Justify your answer. (a) For any real x and y...

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A: Use the formula: F=P(1+rn)nt Where  F is future value P is present value  r is rate (in decimal) n i...

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Q: Let f(z) : D → C be a complex function. Is it possible for both f(z) and f(z) to be analytic? • If Y...

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Q: Problem 1: In a senior graduating class of Math majors in UC, 42 studied mathematics, 68 studied che...

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Q: Which set of relation is a function? (9, 5), (10, 5), (9, -5), (10, -5) (3, 4), (4, -3), (7, 4), (3,...

A: To find which relation is a function . 

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Q: x-1 The Domain of the function f(x) = is x²-4

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Q: Given (1+ 3x sin y) dx – x² cos y dy = 0 with y(1) = 0. Using Euler method with h=0.05, y(1.15) = y(...

A: Euler's method uses the formula: y1=y0+hf(x0,y0) to perform the iterations.

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A: We will use basic knowledge of ring theory and/or field theory to answer this question.

Q: tx, t.

A: We shall solve first Que only asper the company guidelines , for others kindly post again by mention...

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Q: What is the approximate value of x in the system x+3y+52z = 173.61 27y + 2z = 71.31 41a 2y +3z = 65....

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Q: Solve the following  complex numbers in their rectangular form. Use 4 decimal places  for the comput...

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Q: Write the negation of the following statement without using the negation symbol ``¬". R = (Vn E N)3x...

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Q: 6) a) Let the function f been given by when 0 0 there is a partition P, of [0,1] such that for the l...

A: We will use basic knowledge of Riemann integrals to solve this question. Note that this is a multipa...

Q: Q4) Find the current i(t) for the series RC circuit if the applied voltage is E(t) = 3e¬t given that...

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Q: Consider the linear system 1001 + 2x2 x3 = 27 æ1 + x2 + 5x3 = -21.5 -3x1 – 6x2 + 2x3 = -61.5 After t...

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Q: determine the inverse laplace transform of the funtions   1. 1/2 / s^2+9   2. 1/(s+2)^2

A: If L-1Fs=ft, then L-1Fs-a=eatft. It is known that: L-1as2+a2=sinat and L-1n!sn+1=tn.

Q: A certain breed of rabbit was introduced onto a small island about 15 years ago. The current rabbit ...

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Q: Ariel got loan worth P450,000 and used this amount to purchase an apartment near his workplace. Loan...

A: We will use standard definition to answer the given question.

Q: |J V10- J-V16 z² - (2² + y² + z²)!/2 Evaluate the integral. 16-z2 16-2 1 dy dz da = /16 z2 16 z (x² ...

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Q: If the old price of a product is PhP100 and the new price is PhP500, what is the percentage increase...

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Q: In each of the following, eliminate the arbitrary constants 4. xsiny + x²y = c 5. y = Ax? + Be²x 6. ...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: 24. y"+ 9y = 0; y(0) = 1, y'(0) = 1

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Q: Suppose I is a set of formulae and A CT. Prove that if A E A and A F C = ¬C, then IFI.

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Q: ow that B = {5+i, 2+i} is a basis for Q(i) whose elements are algebraic tegers. Why is ß not an inte...

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Q: differential equations are homegenous Q/0otermine and, if so, Solve them- whether the given

A: Let us consider the differential equation dydx=f(x,y) The differential equation is homogenous if f(λ...

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Q: By computing the determinant of a suitable 3 x 3 matrix, find the volume of the parallelepiped with ...

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Q: calculate the present value of Pro0,000 payable in 25 years at 2.4% interest Compounded monthly. O 5...

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