Solve : 33x+5 = 92а+8 Ох— 21 O x = — 13 O x = –3 Ог3 —21 Ог— — 11 -

Q: If x is equal to the square root of (-7+ 24i). Solve the principal root of x. С. 3 + 4i A. 3 + 3i В....

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Q: Solve by the addition method. (If there is no solution, enter NO SOLUTION. Use the parameters x and ...

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Q: Which is NOT a solution of V2- i ? C. -0.4717 + 1.2196i D. -0.8204 – 1.0183i A. 2.2094 0.3442i B. 1....

A: To find the nth root of a complex number we have to use de'Moivre's formula : z1n=z1ncosθ+2kπn+isinθ...

Q: P is regular if all Borel sets are regular. Define C to be the collection of regular sets. (a) Show ...

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Q: f(t) = t(VE³ + 1)²

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Q: If x is even and y is odd, show that (x + y)? is odd.

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Q: 2ni If A = 40e 3 , B = 202 - 40°, C = 26.46 + 0i, solve for A + B + C. A. 27.7445° B. 35.1445° C. 30...

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Q: Determine whether there is a Hamilton path on the following graphs. If there is any, draw the path. ...

A: To determine whether there is a Hamilton path on the graphs given. Note that a Hamiltonian path is a...

Q: Calculate the difference in profit (Aprofit) between the case of CC1 and CC2 ( Aprofit = profitcci –...

A: Given that  Per module solar panel power = 10 w number of modules = 4 Total Power P tot = 10 x 4    ...

Q: Topic: Differential equations Question: Compute for the value of constant (C) by solving the given D...

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Q: 6. Find the radius of convergence of the power series x2n n· 4n n=1

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Q: dt Find the solution and define The interval at which function is dezine

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Q: S dy S f(x, y)dx

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Q: 2. Construct the truth table for the formula (A→日→ ((B→9>) → A

A: We have to construct a truth table for: (A→B)→[{(B→C)∧¬C)→¬A

Q: s the area of the shaded region equal to the area of unshaded shaded?

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Q: Evaluate coth (3+8i). Express your answer in rectangular form in 4 decimal places and with no spaces

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Q: Let Uj, U2, Uz € R³ be an orthonormal system and let f : R³ → R be differentiable. Prove that af af ...

A: Given that {u1,u2,u3} be an orthonormal system in ℝ3. Let us assume that {x,y,z} be the standard axe...

Q: t 4

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Q: Evaluate the following definite integral ,-(s-2)t sin(3t) dt. 3 2 (8 – 2)2 + 9 (8 – 3)2 + 4 - - O 1....

A: Properties of Laplace transform  Lf(t)=∫0∞e-stf(t)dt Leatsinbt=b(s-a)2+b2 Lsinat=as2+a2

Q: QI: solve by Gauss Jordan method 20x +y – 2z = 17 3x + 20y – z = -18 2x - 3y + 20z = 25 %3D

A: we have given the equations 20x+y-2z = 173x +20y-z=-182x-3y+20z =25 Now in matrix form it can be wri...

Q: • Find f(22) using Gregory-Newton method: 5 10 15 20 25 f(x) 8.720 17.36 25.88 34.20 42.26

A: Introduction: The formula of Newton-Gregory method is given by, y(x)=y0+p∆y0+p(p-1)2!∆2y0+p(p-1)(p-2...

Q: find an estimate of the root of the equation x°+ 2x - 4 = 0, using bisection method. Perform computa...

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Q: (a) Find Z(H). (b) Prove that Z(H)=Q, Q is under addition.

A: This is a problem of Group Theory, Isomorphism.

Q: Find the Inverse Laplace Transform of the following: 2. Y(s) = /(2s– 3)5

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Q: B. Find all spanning trees of the following graph.

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Q: 2) f(z) = (« + iy)“ - i (x+ iy)

A: We can solve this using using given information

Q: -dx using 4 trapezoids. What is the error bound for the approximation this problem

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Q: Question 1. Suppose that G = xy = yx². {e, x, x², y, yx, yx²} is a non-Abelian group with |x| = 3 an...

A: Given that                 G= {e,x,x2,y,yx,yx2} ba a non abelian group with o(x)=3 and o(y)=2. And w...

Q: Montserrat is training for her first race. In her first training week she runs 3 km, and in the seco...

A: Given: Kilometer covered in first training=3 km Difference in kilometer in each training=0.5 Km Arit...

Q: b. Let T be a linear transformation induced by the matrix A = and S a linear transfor- mation induce...

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Q: y+ 2 - 3w = -2 3x +y -z + sw - O 2x + y-z + 4w :o x + y -2 + 3w : 0

A: Given  we have given the linear system of equations y+z-3w =-23x+y-z+5w =02x+y-z+4w =0x+y-z+3w = 0 w...

Q: tion, what is the longest time within whic at the predator will have to spend more t

A: It is found that the time (in minutes) required by predator to find a prey is a random variable that...

Q: Ive the following ODE using Laplace Transform: y" + 2y' + y = 8(t – 1) + e2t y(0) = 0, y'(0) = 0

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Q: Q1. Let U = {x: x e Z, 3 < x < 15} be the universal set, A = {x: x e U and 2 < x – 3 < 6}, %3D %3D B...

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Q: Solve the following SLES using the Gauss-Seidel method until the approximate relative error is less ...

A: ak+1=12.1(9+2.9 bk-3.9ck)bk+1=1-1.1(2-0.9 ak+1-4.9ck)ck+1=13.1(-8+2.9 ak+1-1.1bk+1)Initial value=(0....

Q: Prove the following statement by mathematical induction. n+ 1 For every integer n2 0, i I.2' = n- 2"...

A: Right Hand side of P(k) can be evaluated just by substituting n=k in given mathematical statement. I...

Q: 3. Transform the following formula into CNF and simplify: "(b& d- -)) (d- -) b)

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Q: Find the Inverse Laplace Transform of the following: 1. F(s) (s+5)6

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Q: Complete the following tables. * - 5 r- 3 72 – 6x + 9. r- 3 ² – 6x + 9. 2.5 3.5 2.8 3.2 2.9 3.1 2.99...

A: We can solve this by using definition of limit

Q: (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the di...

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Q: 5. For n E N, let fn:X → R such that o # X c R. If each fn is continuous on X but f:X → R is not, th...

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Q: e domain for all the variables in the following pre L(x, y): x < y L(4, 4) true or false?

A: Given that L(x,y):4&lt;4 L(4,4):4&lt;4

Q: Evaluate the value of v-10 x V-7. A. imaginary B. -V70 C. V70 D. undefined

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Q: 3. Find out whether the series given below converges or diverges. 1 Σ 4Vn + In

A: We will use comparison test and p - series test  Given  series is : ∑n= 1∞14n + n3,    let  vn  = 1n...

Q: 2. The following are the results of a study on the number of defective oven toasters produced by a c...

A: From given data we want to find Mean, Variance and Standard deviation. As Mean = E(X) Variance = E(X...

Q: Problem 5. Please state the first two iterative steps of a steepest descent example below: F(x) = (x...

A: Given: Let us consider the first two iterative steps of the steepest descent below, Fx=x1-12+x23-x1x...

Q: Find the Laplace Transform of the following: 2. f(t) = t(vT³ + 1)²

A: Brief answer is given below.

Q: Sketch the graph indicating maxima, minima, asymptotes and inflection points and find the intervals ...

A: # vertical asymptotes are vertical lines ( parallel to y-axis ) which touches the curve at infinity ...

Q: A contractor buys 14 yd of nylon carpet and 18 yd of wool carpet for $1662. A second purchase, at th...

A: We have to find the cost per yard of the wool carpet. 

Q: メ-しリ ニ X² ty2

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