Solve the following differential equations : dy Vi-y? dx = tan y dy Ans. x cos y = C Ans. sin- y = sin-r+ C 1. 2. dx 3. y(1+x)? dy +x/1+y° dx = 0 Ans. 1+y +V1+x² =C

Q: [2 3 4 3. Find the eigenvalues and eigenvectors of the matrix A = Lo %3D 2 1 -3.

A: To find- Find the eigenvalues and eigenvectors of the matrix A = 23402001-3

Q: ·x+yi dz Vaz + b

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Q: We have found the following equation for the amount of chemical C, X(t). 150 - X = ce180kt 120 - 2X ...

A: First two are same value and last value upto 7decimal place.

Q: Draw a direction field for the differential equation y' = -y(1 – y). Based on the direction field, d...

A: We have ,                                                                           y' = - y (1 - y)...

Q: - All are interrelated to each other except precise concise A. С. convention В. D. powerful All are ...

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Q: Which of the following mathematical statement corresponds to the statement: "If there exist a real n...

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Q: 5. Set up and solve a linear Diophantine equation to find every combination of 24 coins consisting o...

A: This is a problem of Number tHeory, discrete math.

Q: Use Laplace transform technique to solve the initial value problem y" – 4y = e*, y(0) = 0, y(0) = 0.

A: Given equation is y''−4y=e3t.....1 and y0=0, y'0=0. We know that Ly''=sYs−sy0−y'0 and Ly=Ys Take a L...

Q: Advance Math; Discrete Structures; Proofs Prove that if mn and m + n are even integers, then both m...

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Q: Considerthreemappingsα,β,γ:Z→Zdefined by α(n)=2n−1, β(n)=(n−1)^2, γ(n)=(n−1)^3

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Q: Find the modulus and argument of the com

A: Given,          7-xi5+3i2 and  x = 2.

Q: A sculptor created a marble water basin by beginning with a cylinder and then carving out a hemisphe...

A: Since you have asked multiple question, we will solve the first question for you. If youwant any spe...

Q: F(x) = x - 2e^-x A.) Determine the root using bisection method. Start with a = 0 and b = 1, and carr...

A: This is Numerical Analysis.

Q: Solution of dy/dx + 2xy = y is (A) y = ce* B y = ce -? © y=ce*²_ - x (D y=ce*-x2

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Q: Question 5 1 pts A 6 percent corporate coupon bond is callable in five years for a call premium of o...

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Q: 1. Choose a number and apply the following operations to it. Multiply the number by 15, and subtract...

A: As per Bartleby guidelines i can answer only one question, kindly upload rest questions seprately. T...

Q: Exercise 8.7.9. In each case, use Definition 8.7.7 to determine whether g is an inverse of f. (a) f:...

A: 1. Given  f(x) = 9x - 6 g(y) = y+69 So fgy = 9y+69 - 6 = yandgfx = 9x - 6 + 69  =  x Hence g is a in...

Q: Which transformation is used to obtain the graph of f(x)= -2X from grape of f(x) = 22?

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Q: Solve the following: 1. (x-2iy)-(y-ix)=2+i, x=?; y=? Express in Polar Form: 1. 3+i4 2. -3+i4

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Q: Use Euler's Method with a step size At = 0.1 to estimate y(0.5) given that (x(0), y(0))= (1,1) and d...

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Q: The integral of the given function sin²2x cos 7x dx is equal sin 7x sin 11x sin3x А. 14 + C 12 44 si...

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Q: If the geometric sequence is {50, -10, 2, ..} (a) the 7th term is . Round answer to four decimal pla...

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Q: Obtain general solution of the D.E. y' + (1/3)y = e*yª A 1/y³ = e* (c – 3y) B 1/y³ = e* (c – 3x) с) ...

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Q: 1. Evaluate: e 3z I = dz (e² + e5z)2

A: given integral I=∫0∞e3zez+e5z2dz claim- evaluate the integral

Q: Let T:M_2 -> M_2 be the linear transformation given by a b 0 1 a b T с d c d 1 1 Find the matrix of ...

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Q: 1 lim \3 Vx + 9/

A: Rationalization of an expression is done to remove the radical expression from the term. For example...

Q: c. In what quadrant does 5.5 e3.5i rad lies?

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Q: Argue about nature of mathematics, what is it, how it is expressed, represented and used

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Q: Question 12 What is the exponential form of the complex number 4+3i? A Se 53.13ºj B 5e 36.87ºj 7e 53...

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Q: Solve the following IVP using Laplace transform

A: Given,           y''-4y'+9y=t                          ...(1)and             y(0)=0,   y'(0)=1      ...

Q: 1. There are eight different ice-cream flavors in the ice-cream shop. (a) In how many ways can we ch...

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Q: Let X = {a, b, c, d} and Y = {x, Y, z, w} be two topological spaces with topologies Ti = {X,0, {a}, ...

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Q: 5. Decide which of these integers is congruent to 13 modulo 17. a) 81 b) 18 c) -38 d) 83 e) -11

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Q: Find the two square roots of 4i. A v2+ v2i and v2- V2i B v2-v2i and -V2- V2i © v2- V2i and -v2 - v2i...

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Q: Ted skated through one of the face-off circles at as skating rink. His path through the circle is sh...

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Q: Use only Definition 3.1.1 (or its negation) to prove the following: 2. Prove that the sequence ((-1)...

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Q: Question 6 5 12 B = |1 11 and C = |-9 1 -5 |. Which of the following 14 6 -11 [16 -7 4 -3 13 7 10 0 ...

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Q: 2. In running events, Raine is always ahead of Banjo. Moreover, Anne runs faster than Raine. Is Banj...

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Q: y": 2. cy's (c² +1}y =0

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Q: Factor 42w+ 24. Write your answer as a product with a whole number greater than 1

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Q: and v = -3 be column vectors in R?. Let u = -2 -1 (a) Make a sketch that demonstrates that 3 = au + ...

A: Given:- u=1-2 and v=-3-1 column vectors in ℝ2. (a) Make a sketch that demonstrates that 3-2=αu+βv fo...

Q: Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in yo...

A: Here we use the technique of Auxillary equation .

Q: [5 Consider matrices A =9 -11 11 and B =|0 -1] Two elementary matrices -4 c) 2. 8. 4 1 -1 3 -4 2. E ...

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Q: Solution of dy/dx + 2xy = y is A. y = ce" B y=ce**-x y = ce y=ce-

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Q: Using the key matrix A = %3D

A: Given,          A=3221

Q: e. 2 v-1/8

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Q: Let P(z) = z" +am-12"-1 + ... + a1z + ao be a polynomial of degree n 2 1 with a; # 0 for at %3D leas...

A: We will solve Q9 as mentioned. Given Pz=zn+an-1zn-1+…+a1z+a0 be a polynomial of degree n≥1 with ai≠0...

Q: QUESTION 10 Show that G ={a +bv3: a,b EQ}is subgroup of R under addition.

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: To find- Determine the location and value of the absolute extreme values of f on the given interval,...

Q: 3 Expand (2x? + 3)° 3 Expand (5x° + 5)°. 3 Expand ( 4x 25 +11) 3 4 Expand (* + 20) 3 Expand ( + 2 2 ...

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.