Find real numbers x and y such that iy 2 - i i + 3 1 + i ||

Q: 13. A rectangular dog pen of 800 sq. feet is to be constructed as shown. The cost is $5 per running ...

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Q: 3 4 Find the determinant of [-1 -8 7] 8 4 Using diagonal method. 3

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Q: Solve the Lagrange's partial differential equation 2 z* p – xy(x² + yz)q = xz(x² + yz). 4

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Q: When gcd(a, b) = 1, prove σ(ab) = σ(a)σ(b) and find σ(200) and σ(720).

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Q: f(t) = e3t + cos(6t) – e3t cos(6t) As4 + Bs3 + Cs² + Ds + E F(s) Fs5 + Gs4 + Hs3 + Is² + Js + K

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Q: ermine the surface area generated when a portion of the curve in the 1st quadrant of = 9(x² – a²) is...

A: We have to find the surface area of region.

Q: sin 4

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Q: The following system has an infinite number of solutions. Write the solution in terms of y and z. 2w...

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Q: 2. Find the general solution to the differential equation y(4) – 7y(2) + 103y' – 4y= 0. - %3D

A: We find general solution of y(4) -7y(2)+10y'-4y=0......(1)

Q: 2 cos 0 d0 V1 – sin 0

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Q: 1 8 Find the determinant of [0 -3 7] 1 2 3 4

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Q: 14. Determine if each subset below is a subspace of R. (a) Span (b) Span (c) x2 |1 = 0 • {}--} (d) x...

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Q: 3. Answer the following questions. (a Let T be a linear transformation hom Rto such that Compute T(3...

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Q: In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all directio...

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Q: x* + ах + 2bx + 2ab + 2x3 — ах* + 6bx? dx x* + ах3 + 2bxа+ 2abx*

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Q: A solution of the differential equation 2 y"

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 4(x2 – ...

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Q: Write a triple integral, including limits of integration, that gives the volume between 2æ + y 0, y...

A: Introduction: Triple integrals represent the iteration of three-variable functions, f(x,y,z). Instea...

Q: Let f(x) and g(x) be described as in the graphic below, with the red function being f(x) and the blu...

A: Derivative of the product function

Q: Find the average rate of change of f(x) = 2x− 2x+ 1 from x= −1 to x = 4.

A: The average rate of change from x=-1 to x=4

Q: Find a primitive root modulo 2 * 19^2022

A: Consider the number n=2×192022. We know that a primitive root of modulo n is an integer g such that ...

Q: (ii) Form the PDE by elimınatıng arbitfary log z=a log x+ V1-a' log y+ b

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Q: Find the volume generated by revolving bout the line y = -1 the area bounded by (x - 2)2 = 4(y + 2) ...

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Q: Let A be a set of complex numbers. A number z is called, as in the real case, a limit point of the s...

A: We will be solving Q.5 as mentioned. Since you have asked multiple questions, we will solve the Ques...

Q: Question 2. Consider the 2n x 2n block-diagonal matrix A, made up of n blocks (* :) of 2 x 2 matrice...

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Q: 3. Compute a spectral decomposition for the following matrix D E Matax3(R) as it has been done durin...

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Q: Choose the statement that best describes this graph. O a) Same initial value, different rates of cha...

A: We know that the value of the line at x=0 is called the initial value. Since the value of the two li...

Q: Find the coefficient a, of the Fourier series representation of the function with period 2n defined ...

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Q: 3. Use the traveling salesman algorithm to traverse from A to A. 1. 18 38 56 69 47 73 65 84 71 62

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Q: Given f(x)= 7xª+ 3x² – T. Find all zeroes accurate to 1æ10 using: - (a) Newton-Raphson method

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Q: This complex number is pure real? 1-2i/i and why?

A: For a complex number, z=x+iy, where x is the real part, y is the imaginary part. The complex number:...

Q: Use a triple integral to find the volume of the given solid. the solid bounded by the parabolic cyli...

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Q: What Mclaurin Series this function represents: Eo = 1+x + 2! 3! 4! a. e^x b. cosx C. sinx O d. 1/(1-...

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Q: Graph ARST with vertices R(4, 1), S(7, 3), and T (6, 4) and its image after the glide reflection. Tr...

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Q: 2 1. Evaluate 8x" dx by the Gaussian quadrature method. 7

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Q: Consider the following transfer function: 2s° + 5s2 + 3s + 6 D F(s): = A + s3 + 6s? + 1 1s + 6 S + 1...

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Q: (c) Which of the following statements are FALSE? (1) Let A E Mnxn(F). If (A1, v1) and (A2, v2) are e...

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Q: ending from the surface. What is the best estimate of its instantaneous change in depth at t = 3 sec

A: In this question, the concept of the derivative is applied. Derivative A derivative is used to figur...

Q: Find the equation of the sphere with the given conditions: (a) center at (1, – 2, – 4) and its tange...

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Q: let (2, m) be a meesurable space. then 1f f9: x LJare measural ble function, then -> ) f43 is mea sa...

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Q: Find the laplace transform of f(t)= { t2 02

A: Given function is f(t) = t2  0<t<23  t>2

Q: How many years are required for an investment to double in value if it is appreciating at the rate o...

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Q: Find the antiderivative, G(t), of the function g(t) = (2n²t² – t*)v2n² – t².

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Q: Find the graph of this arclength

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Q: Consider the series In(k) k2 k=1 a) Enter an integral whose convergence or divergence is equivalent ...

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Q: II. Matrices and Matrix Operations Let A and B be the following matrices: A= [+ 2 + 4 - 2 + 8 + 3 + ...

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Q: 2. Solve the linear system using Cramer's Rule . 2a + 4b - 6c + 8d = 50 2a - 3b + c - d = -10 3a - 5...

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Q: 2. The relationship between the displacement S, velocity v, and acceleration a, of a piston is given...

A: Given: s+2v+2a=43s-3v+4a=253s+2v-a=-4 Rewriting the equation2a+s+2v=44a+3s-3v=25-a+3s+2v=-4

Q: 3. Determine whether the following series converges, and if so, find its sum. 1 ( a) Σ27l-n 4 (b) (n...

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Q: A. In the figure below, CE and LA are diameters of ON. Use the figure to answer the following. If mL...

A: Angle 3 is 62 degree